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Advanced Engineering Mathematics
by Erwin Kreyszig

ISBN 0471488852 (0-471-48885-2)
Hardcover, John Wiley & Sons Inc

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Book summary:
This is Brand New Hardcover Edition! Textbook wrapped in Tip Top Condition. Ship from Multiple Locations from Asia Countries. Shipping should take from 3-4 business days within US, Canada, UK, Australia, Japan, and Singapore and other EU countries for ship with EXPEDITE. We do not ship to PO BOX, APO, FPO! Please leave your phone no. for quickly delivery [via]
More editions of Advanced Engineering Mathematics:
- Advanced Engineering Mathematics: ISBN 0471728977 (0-471-72897-7)
  Hardcover, John Wiley
- Advanced Engineering Mathematics: ISBN 0471488852 (0-471-48885-2)
  Hardcover, John Wiley & Sons Inc
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Advanced Engineering Mathematics: International Edition
by Erwin Kreyszig

ISBN 047133328X (0-471-33328-X)
Softcover, John Wiley & Son Ltd

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More editions of Advanced Engineering Mathematics: International Edition:
- Advanced Engineering Mathematics: International Edition: ISBN 047133328X (0-471-33328-X)
  Softcover, John Wiley & Son Ltd
Advanced Engineering Mathematics: Maple Computer Guide
by Erwin Kreyszig

ISBN 0471021407 (0-471-02140-7)
Hardcover, Wiley

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Book summary:
A revision of the market leader, Kreyszig is known for its comprehensive coverage, careful and correct mathematics, outstanding exercises, helpful worked examples, and self-contained subject-matter parts for maximum teaching flexibility. The new edition provides invitations - not requirements - to use technology, as well as new conceptual problems, and new projects that focus on writing and working in teams. [via]
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Alan Turing: The Enigma
by Andrew Hodges

ISBN 0671528092 (0-671-52809-2)
Softcover, Simon & Schuster

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Book summary:
Alan Turing died in 1954, but the themes of his life epitomize the turn of the millennium. A pure mathematician from a tradition that prided itself on its impracticality, Turing laid the foundations for modern computer science, writes Andrew Hodges:

Alan had proved that there was no "miraculous machine" that could solve all mathematical problems, but in the process he had discovered something almost equally miraculous, the idea of a universal machine that could take over the work of any machine.
During World War II, Turing was the intellectual star of Bletchley Park, the secret British cryptography unit. His work cracking the German's Enigma machine code was, in many ways, the first triumph of computer science. And Turing died because his identity as a homosexual was incompatible with cold-war ideas of security, implemented with machines and remorseless logic: "It was his own invention, and it killed the goose that laid the golden eggs."
Andrew Hodges's remarkable insight weaves Turing's mathematical and computer work with his personal life to produce one of the best biographies of our time, and the basis of the Derek Jacobi movie Breaking the Code. Hodges has the mathematical knowledge to explain the intellectual significance of Turing's work, while never losing sight of the human and social picture:

In this sense his life belied his work, for it could not be contained by the discrete state machine. At every stage his life raised questions about the connection (or lack of it) between the mind and the body, thought and action, intelligence and operations, science and society, the individual and history.
And Hodges admits what all biographers know, but few admit, about their subjects: "his inner code remains unbroken." Alan Turing is still an enigma. --Mary Ellen Curtin [via]
More editions of Alan Turing: The Enigma:
- Alan Turing: The Enigma: ISBN 0802775802 (0-8027-7580-2)
  Softcover, St Martins Pr
- Alan Turing: The Enigma: ISBN 0671528092 (0-671-52809-2)
  Softcover, Simon & Schuster
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The Annotated Flatland: A Romance of Many Dimensions
by Ian Stewart, Edwin Abbott Abbott

ISBN 0738205419 (0-7382-0541-9)
Hardcover, Perseus Books Group

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Book summary:
The product of an agreeably dotty cleric named Edwin Abbott Abbott and first published in 1884, Flatland distills all that the Victorian era knew of higher mathematics--and then some--into a witty, complex novel of ideas.
Ian Stewart, the author of the equally witty sequel, Flatterland--which adds to Abbott's store of science the key discoveries made since--does a superb job of explaining the original book's enigmas, allusions, ironies, implausibilities, and what Douglas Hofstadter would call "metamagical themas." Among other things, Stewart comments on Abbott's comments on such things as the nature/nurture controversy, the fourth dimension and beyond, the role of multidimensional spaces in economic systems, infinite series and perfect squares, celestial mechanics, and other matters close to the hearts of cosmologists and science buffs alike.
Stewart's notes make an entertaining and learned addition to an already classic bit of writing--one that has never been out of print since its first publication. For both devoted Abbott fans and newcomers to his work, this is the edition to have. --Gregory McNamee [via]
More editions of The Annotated Flatland: A Romance of Many Dimensions:
- The Annotated Flatland: A Romance of Many Dimensions: ISBN 0738205419 (0-7382-0541-9)
  Hardcover, Perseus Books Group
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Beautiful Mind: A Biography of John Forbes Nash, Jr., Winner of the Nobel Prize in Economics, 1994
by Sylvia Nasar

ISBN 0684853701 (0-684-85370-1)
Softcover, Simon & Schuster

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Book summary:
Stories of famously eccentric Princetonians abound--such as that of chemist Hubert Alyea, the model for The Absent-Minded Professor, or Ralph Nader, said to have had his own key to the library as an undergraduate. Or the "Phantom of Fine Hall," a figure many students had seen shuffling around the corridors of the math and physics building wearing purple sneakers and writing numerology treatises on the blackboards. The Phantom was John Nash, one of the most brilliant mathematicians of his generation, who had spiraled into schizophrenia in the 1950s. His most important work had been in game theory, which by the 1980s was underpinning a large part of economics. When the Nobel Prize committee began debating a prize for game theory, Nash's name inevitably came up--only to be dismissed, since the prize clearly could not go to a madman. But in 1994 Nash, in remission from schizophrenia, shared the Nobel Prize in economics for work done some 45 years previously.
Economist and journalist Sylvia Nasar has written a biography of Nash that looks at all sides of his life. She gives an intelligent, understandable exposition of his mathematical ideas and a picture of schizophrenia that is evocative but decidedly unromantic. Her story of the machinations behind Nash's Nobel is fascinating and one of very few such accounts available in print (the CIA could learn a thing or two from the Nobel committees). This highly recommended book is indeed "a story about the mystery of the human mind, in three acts: genius, madness, reawakening." --Mary Ellen Curtin [via]
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A Beautiful Mind: The Life of Mathematical Genius and Nobel Laureate John Nash
by Sylvia Nasar

ISBN 0743224574 (0-7432-2457-4)
Softcover, Simon & Schuster

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Book summary:
Stories of famously eccentric Princetonians abound--such as that of chemist Hubert Alyea, the model for The Absent-Minded Professor, or Ralph Nader, said to have had his own key to the library as an undergraduate. Or the "Phantom of Fine Hall," a figure many students had seen shuffling around the corridors of the math and physics building wearing purple sneakers and writing numerology treatises on the blackboards. The Phantom was John Nash, one of the most brilliant mathematicians of his generation, who had spiraled into schizophrenia in the 1950s. His most important work had been in game theory, which by the 1980s was underpinning a large part of economics. When the Nobel Prize committee began debating a prize for game theory, Nash's name inevitably came up--only to be dismissed, since the prize clearly could not go to a madman. But in 1994 Nash, in remission from schizophrenia, shared the Nobel Prize in economics for work done some 45 years previously.
Economist and journalist Sylvia Nasar has written a biography of Nash that looks at all sides of his life. She gives an intelligent, understandable exposition of his mathematical ideas and a picture of schizophrenia that is evocative but decidedly unromantic. Her story of the machinations behind Nash's Nobel is fascinating and one of very few such accounts available in print (the CIA could learn a thing or two from the Nobel committees). This highly recommended book is indeed "a story about the mystery of the human mind, in three acts: genius, madness, reawakening." --Mary Ellen Curtin [via]
More editions of A Beautiful Mind: The Life of Mathematical Genius and Nobel Laureate John Nash:
- A Beautiful Mind: The Life of Mathematical Genius and Nobel Laureate John Nash: ISBN 0743224574 (0-7432-2457-4)
  Softcover, Simon & Schuster
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Chaos
by James Gleick

ISBN 0140092501 (0-14-009250-1)
Softcover, Penguin Group USA

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Book summary:
Few writers distinguish themselves by their ability to write about complicated, even obscure topics clearly and engagingly. James Gleick, a former science writer for the New York Times, resides in this exclusive category. In Chaos, he takes on the job of depicting the first years of the study of chaos--the seemingly random patterns that characterize many natural phenomena.
This is not a purely technical book. Instead, it focuses as much on the scientists studying chaos as on the chaos itself. In the pages of Gleick's book, the reader meets dozens of extraordinary and eccentric people. For instance, Mitchell Feigenbaum, who constructed and regulated his life by a 26-hour clock and watched his waking hours come in and out of phase with those of his coworkers at Los Alamos National Laboratory.
As for chaos itself, Gleick does an outstanding job of explaining the thought processes and investigative techniques that researchers bring to bear on chaos problems. Rather than attempt to explain Julia sets, Lorenz attractors, and the Mandelbrot Set with gigantically complicated equations, Chaos relies on sketches, photographs, and Gleick's wonderful descriptive prose. [via]
More editions of Chaos:
- Chaos: ISBN 0670811785 (0-670-81178-5)
  Hardcover, Penguin Group USA
- Chaos: ISBN 0140092501 (0-14-009250-1)
  Softcover, Penguin Group USA
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The Code Book for Young People
by Simon Singh

ISBN 0385730624 (0-385-73062-4)
Softcover, Random House Children's Books

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Book summary:
Calling upon accounts of political intrigue and tales of life and death, author Simon Singh tells history's most fascinating story of deception and cunning: the science of cryptography--the encoding and decoding of private information. Based on The Code Book: The Science of Secrecy from Ancient Egypt to Quantum Cryptography, this version has been abridged and slightly simplified for a younger audience. None of the appeal for curious problem-solving minds has been lost, though. From Julius Caesar to the 10th-century Arabs; from Mary Queen of Scots to "Alice and Bob"; from the Germans' Enigma machine to the Navajo code talkers in World War II, Singh traces the use of code to protect--and betray--secrecy. Moving right into the present, he describes how the Information Age has provided a whole new set of challenges for cryptographers. How private are your e-mail communications? How secure is sending your credit card information over the Internet? And how much secrecy will the government tolerate? Complex but highly accessible, The Code Book will make readers see the past--and the future--in a whole new light. (Ages 14 and older) [via]
More editions of The Code Book for Young People:
- The Code Book for Young People: ISBN 0385730624 (0-385-73062-4)
  Softcover, Random House Children's Books
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The Code Book : The Evolution of Secrecy from Mary, Queen of Scots to Quantum Cryptography
by Simon Singh

ISBN 0385495315 (0-385-49531-5)
Hardcover, Doubleday Publishing

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Book summary:
People love secrets, and ever since the first word was written, humans have written coded messages to each other. In The Code Book, Simon Singh, author of the bestselling Fermat's Enigma, offers a peek into the world of cryptography and codes, from ancient texts through computer encryption. Singh's compelling history is woven through with stories of how codes and ciphers have played a vital role in warfare, politics, and royal intrigue. The major theme of The Code Book is what Singh calls "the ongoing evolutionary battle between codemakers and codebreakers," never more clear than in the chapters devoted to World War II. Cryptography came of age during that conflict, as secret communications became critical to either side's success.

Confronted with the prospect of defeat, the Allied cryptanalysts had worked night and day to penetrate German ciphers. It would appear that fear was the main driving force, and that adversity is one of the foundations of successful codebreaking.
In the information age, the fear that drives cryptographic improvements is both capitalistic and libertarian--corporations need encryption to ensure that their secrets don't fall into the hands of competitors and regulators, and ordinary people need encryption to keep their everyday communications private in a free society. Similarly, the battles for greater decryption power come from said competitors and governments wary of insurrection. The Code Book is an excellent primer for those wishing to understand how the human need for privacy has manifested itself through cryptography. Singh's accessible style and clear explanations of complex algorithms cut through the arcane mathematical details without oversimplifying. Can't get enough crypto? Try solving the Cipher Challenge in the back of the book--$15,000 goes to the first person to crack the code! --Therese Littleton [via]
More editions of The Code Book : The Evolution of Secrecy from Mary, Queen of Scots to Quantum Cryptography:
- The Code Book : The Evolution of Secrecy from Mary, Queen of Scots to Quantum Cryptography: ISBN 0385495315 (0-385-49531-5)
  Hardcover, Doubleday Publishing
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The Code Book: The Science of Secrecy from Ancient Egypt to Quantum Cryptography
by Simon Singh

ISBN 0385495323 (0-385-49532-3)
Softcover, Random House Inc

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Book summary:
People love secrets. Ever since the first word was written, humans have sent coded messages to each other. In The Code Book, Simon Singh, author of the bestselling Fermat's Enigma, offers a peek into the world of cryptography and codes, from ancient texts through computer encryption. Singh's compelling history is woven through with stories of how codes and ciphers have played a vital role in warfare, politics, and royal intrigue. The major theme of The Code Book is what Singh calls "the ongoing evolutionary battle between codemakers and codebreakers," never more clear than in the chapters devoted to World War II. Cryptography came of age during that conflict, as secret communications became critical to both sides' success.

Confronted with the prospect of defeat, the Allied cryptanalysts had worked night and day to penetrate German ciphers. It would appear that fear was the main driving force, and that adversity is one of the foundations of successful codebreaking.
In the information age, the fear that drives cryptographic improvements is both capitalistic and libertarian--corporations need encryption to ensure that their secrets don't fall into the hands of competitors and regulators, and ordinary people need encryption to keep their everyday communications private in a free society. Similarly, the battles for greater decryption power come from said competitors and governments wary of insurrection.
The Code Book is an excellent primer for those wishing to understand how the human need for privacy has manifested itself through cryptography. Singh's accessible style and clear explanations of complex algorithms cut through the arcane mathematical details without oversimplifying. --Therese Littleton [via]
More editions of The Code Book: The Science of Secrecy from Ancient Egypt to Quantum Cryptography:
- The Code Book: The Science of Secrecy from Ancient Egypt to Quantum Cryptography: ISBN 0756754739 (0-7567-5473-9)
  Hardcover, Diane Pub Co
- The Code Book: The Science of Secrecy from Ancient Egypt to Quantum Cryptography: ISBN 0385495323 (0-385-49532-3)
  Softcover, Random House Inc
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Concrete Mathematics: A Foundation for Computer Science
by Ronald L. Graham

ISBN 0201558025 (0-201-55802-5)
Hardcover, Addison-Wesley

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Book summary:
This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete mathematics is a blending of continuous and discrete mathematics. "more concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." the subject matter is primarily an expansion of the mathematical preliminaries section in knuth's classic art of computer programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories.complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: *sums *recurrences *integer functions *elementary number theory *binomial coefficients *generating functions *discrete probability *asymptotic methods this second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of concrete mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. [via]
More editions of Concrete Mathematics: A Foundation for Computer Science:
- Concrete Mathematics: A Foundation for Computer Science: ISBN 0201142368 (0-201-14236-8)
  Hardcover, Addison-Wesley
- Concrete Mathematics: A Foundation for Computer Science: ISBN 0201558025 (0-201-55802-5)
  Hardcover, Addison-Wesley
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The Curious Incident of the Dog in the Night-Time
by Mark Haddon

ISBN 1400032717 (1-4000-3271-7)
Softcover, Vintage Books

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Book summary:
Christopher John Francis Boone knows all the countries of the world and their capitals and every prime number up to 7,057. He relates well to animals but has no understanding of human emotions. He cannot stand to be touched. And he detests the color yellow.This improbable story of Christopher's quest to investigate the suspicious death of a neighborhood dog makes for one of the most captivating, unusual, and widely heralded novels in recent years. [via]
More editions of The Curious Incident of the Dog in the Night-Time:
- The Curious Incident of the Dog in the Night-Time: ISBN 1400032717 (1-4000-3271-7)
  Softcover, Vintage Books
Does God Play Dice: The Mathematics of Chaos
by Ian Stewart

ISBN 1557861064 (1-55786-106-4)
Softcover, Blackwell Pub

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More editions of Does God Play Dice: The Mathematics of Chaos:
- Does God Play Dice: The Mathematics of Chaos: ISBN 1557861064 (1-55786-106-4)
  Softcover, Blackwell Pub
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The Emperor's New Mind: Concerning Computers, Minds, and the Laws of Physics
by Roger Penrose, Martin Gardner

ISBN 0192861980 (0-19-286198-0)
Softcover, Oxford Univ Pr

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Book summary:
Some love it, some hate it, but The Emperor's New Mind, physicist Roger Penrose's 1989 treatise attacking the foundations of strong artificial intelligence, is crucial for anyone interested in the history of thinking about AI and consciousness. Part survey of modern physics, part exploration of the philosophy of mind, the book is not for casual readers--though it's not overly technical, it rarely pauses to let the reader catch a breath. The overview of relativity and quantum theory, written by a master, is priceless and uncontroversial. The exploration of consciousness and AI, though, is generally considered as resting on shakier ground.
Penrose claims that there is an intimate, perhaps unknowable relation between quantum effects and our thinking, and ultimately derives his anti-AI stance from his proposition that some, if not all, of our thinking is non-algorithmic. Of course, these days we believe that there are other avenues to AI than traditional algorithmic programming; while he has been accused of setting up straw robots to knock down, this accusation is unfair. Little was then known about the power of neural networks and behavior-based robotics to simulate (and, some would say, produce) intelligent problem-solving behavior. Whether these tools will lead to strong AI is ultimately a question of belief, not proof, and The Emperor's New Mind offers powerful arguments useful to believer and nonbeliever alike. --Rob Lightner [via]
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Enigma
by Alan Turing

ISBN 3211826270 (3-211-82627-0)
Hardcover, Springer

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Book summary:
Alan Turing, Enigma ist die Biographie des legendären britischen Mathematikers, Logikers, Kryptoanalytikers und Computerkonstrukteurs Alan Mathison Turing (1912-1954). Turing war einer der bedeutendsten Mathematiker dieses Jahrhunderts und eine höchst exzentrische Persönlichkeit. Er gilt seit seiner 1937 erschienenen Arbeit "On Computable Numbers", in der er das Prinzip des abstrakten Universalrechners entwickelte, als der Erfinder des Computers. Er legte auch die Grundlagen für das heute "Künstliche Intelligenz" genannte Forschungsgebiet. Turings zentrale Frage "Kann eine Maschine denken?" war das Motiv seiner Arbeit und wird die Schlüsselfrage des Umgangs mit dem Computer werden. Die bis 1975 geheimgehaltene Tätigkeit Turings für den britischen Geheimdienst, die zur Entschlüsselung des deutschen Funkverkehrs führte, trug entscheidend zum Verlauf und Ausgang des Zweiten Weltkriegs bei. [via]
More editions of Enigma:
- Enigma: ISBN 3211826270 (3-211-82627-0)
  Hardcover, Springer
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Fermat's Enigma
by Simon Singh

ISBN 0385493622 (0-385-49362-2)
Softcover, Random House Inc

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Book summary:
When Andrew Wiles of Princeton University announced a solution of Fermat's last theorem in 1993 it electrified the world of mathematics. After a flaw was discovered in the proof, Wiles had to work for another year--he had already labored in solitude for seven years--to establish that he had solved the 350-year-old problem. Simon Singh's book is a lively, comprehensible explanation of Wiles's work and of the star-, trauma-, and wacko-studded history of Fermat's last theorem. Fermat's Enigma contains some problems that offer a taste for the math, but it also includes limericks to give a feeling for the goofy side of mathematicians. [via]
More editions of Fermat's Enigma:
- Fermat's Enigma: ISBN 0613181050 (0-613-18105-0)
  Hardcover, Bt Bound
- Fermat's Enigma: ISBN 0385493622 (0-385-49362-2)
  Softcover, Random House Inc
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Fermat's Enigma: The Quest to Solve the World's Greatest Mathematical Problem
by Simon Singh

ISBN 0802713319 (0-8027-1331-9)
Hardcover, Walker & Company

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Book summary:
When Andrew Wiles of Princeton University announced a solution of Fermat's last theorem in 1993 it electrified the world of mathematics. After a flaw was discovered in the proof, Wiles had to work for another year--he had already labored in solitude for seven years--to establish that he had solved the 350-year-old problem. Simon Singh's book is a lively, comprehensible explanation of Wiles's work and of the star-, trauma-, and wacko-studded history of Fermat's last theorem. Fermat's Enigma contains some problems that offer a taste for the math, but it also includes limericks to give a feeling for the goofy side of mathematicians. [via]
More editions of Fermat's Enigma: The Quest to Solve the World's Greatest Mathematical Problem:
- Fermat's Enigma: The Quest to Solve the World's Greatest Mathematical Problem: ISBN 0802713319 (0-8027-1331-9)
  Hardcover, Walker & Company
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Fermat's Last Theorem: The Story of a Riddle That Confounded the World's Greatest Minds for 358 Years
by Simon Singh

ISBN 1857026691 (1-85702-669-1)
Hardcover, Fourth Estate

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Book summary:
In 1963, a schoolboy browsing in his local library stumbled across a great mathematical problem: Fermat's Last Theorem, a puzzle that every child can now understand, but which has baffled mathematicians for over 300 years. Aged just ten, Andrew Wiles dreamed he would crack it. Many people had tried before Wiles and failed, including an 18th-century philanderer who was killed in a duel. An 18th-century Frenchwoman made a major breakthrough in solving the riddle, but she had to attend maths lectures at the Ecole Polytechnique disguised as a man. This is the story of the puzzle that has confounded mathematicians since the 17th century. The solution of the Theorem is one of the most important mathematical developments of the 20th century. [via]
More editions of Fermat's Last Theorem: The Story of a Riddle That Confounded the World's Greatest Minds for 358 Years:
- Fermat's Last Theorem: The Story of a Riddle That Confounded the World's Greatest Minds for 358 Years: ISBN 1857026691 (1-85702-669-1)
  Hardcover, Fourth Estate
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Flatland
by Edwin Abbott Abbott

ISBN 1406503436 (1-4065-0343-6)
Softcover, Dodo Pr

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Flatland is one of the very few novels about math and philosophy that can appeal to almost any layperson. Published in 1880, this short fantasy takes us to a completely flat world of two physical dimensions where all the inhabitants are geometric shapes, and who think the planar world of length and width that they know is all there is. But one inhabitant discovers the existence of a third physical dimension, enabling him to finally grasp the concept of a fourth dimension. Watching our Flatland narrator, we begin to get an idea of the limitations of our own assumptions about reality, and we start to learn how to think about the confusing problem of higher dimensions. The book is also quite a funny satire on society and class distinctions of Victorian England. [via]
More editions of Flatland:
Flatland : A Romance of Many Dimensions
by Edwin A. Abbot

ISBN 1419120026 (1-4191-2002-6)
Softcover, Kessinger Pub Co

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Flatland is one of the very few novels about math and philosophy that can appeal to almost any layperson. Published in 1880, this short fantasy takes us to a completely flat world of two physical dimensions where all the inhabitants are geometric shapes, and who think the planar world of length and width that they know is all there is. But one inhabitant discovers the existence of a third physical dimension, enabling him to finally grasp the concept of a fourth dimension. Watching our Flatland narrator, we begin to get an idea of the limitations of our own assumptions about reality, and we start to learn how to think about the confusing problem of higher dimensions. The book is also quite a funny satire on society and class distinctions of Victorian England. [via]
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Flatland
by A. Square

ISBN 1883938775 (1-883938-77-5)
Softcover, Dry Bones Pr

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More editions of Flatland:
- Flatland: ISBN 1883938775 (1-883938-77-5)
  Softcover, Dry Bones Pr
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Flatland: A Journey of Many Dimensions
by Edwin A. Abbott, Dionys Burger

ISBN 0062732765 (0-06-273276-5)
Softcover, Harper Resource

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Book summary:
Unless you're a mathematician, the chances of you reading any novels about geometry are probably slender. But if you read only two in your life, these are the ones. Taken together, they form a couple of accessible and charming explanations of geometry and physics for the curious non-mathematician. Flatland, which is also available under separate cover, was published in 1880 and imagines a two-dimensional world inhabited by sentient geometric shapes who think their planar world is all there is. But one Flatlander, a Square, discovers the existence of a third dimension and the limits of his world's assumptions about reality and comes to understand the confusing problem of higher dimensions. The book is also quite a funny satire on society and class distinctions of Victorian England. The further mathematical fantasy, Sphereland, published 60 years later, revisits the world of Flatland in time to explore the mind-bending theories created by Albert Einstein, whose work so completely altered the scientific understanding of space, time, and matter. Among Einstein's many challenges to common sense were the ideas of curved space, an expanding universe and the fact that light does not travel in a straight line. Without use of the mathematical formulae that bar most non-scientists from an understanding of Einstein's theories, Sphereland gives lay readers ways to start comprehending these confusing but fundamental questions of our reality. [via]
More editions of Flatland: A Journey of Many Dimensions:
- Flatland: A Journey of Many Dimensions: ISBN 0062732765 (0-06-273276-5)
  Softcover, Harper Resource
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Godel, Escher, Bach: An Eternal Golden Braid
by Douglas R. Hofstadter

ISBN 0465026567 (0-465-02656-7)
Softcover, Basic Books

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Book summary:
As stated in the Scientific American, "Every few decades an unknown author brings out a boof of such depth, clarity range, wit beauty and originality that it is recognized at once as a major literary event - this is such a work." [via]
More editions of Godel, Escher, Bach: An Eternal Golden Braid:
A History of Mathematics
by Uta C. Merzbach, Carl B. Boyer

ISBN 0471543977 (0-471-54397-7)
Softcover, John Wiley & Sons Inc

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More editions of A History of Mathematics:
- A History of Mathematics: ISBN 0471097632 (0-471-09763-2)
  Hardcover, John Wiley & Sons Inc
- A History of Mathematics: ISBN 0471543977 (0-471-54397-7)
  Softcover, John Wiley & Sons Inc
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A History of Mathematics
by Carl B. Boyer

ISBN 0691023913 (0-691-02391-3)
Softcover, Princeton Univ Pr

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Book summary:
What do you mean there's no chapter 0? Whether or not you think that's a deficit, A History of Mathematics more than makes up for it with its depth and engaging analysis of the development of the "flawless science." Historian Carl B. Boyer designed it as a practical textbook for communicating math's complex timelines to interested college students in 1968; Uta C. Merzbach has gently revised it to bring it in line with current thought. Much of the early chapters are untouched, with new 19th- and 20th-century chapters covering Boyer's omissions and new and revised references guiding the reader to additional resources.
From the origins of numbering to the future of computing, the authors strive for comprehensive examination and clear, simple explanations. Some of the math will daunt those who have never taken college-level courses (or have forgotten what they learned), but some of the more elaborate technical material can be skipped if needed. Especially helpful is the extensive timeline-appendix that proceeds from the beginning of time to the late 20th century. Whether you're using it to gain a better understanding of mathematics or to broaden your awareness of the historical record, A History of Mathematics will help you make sense of the wide world of numbers. --Rob Lightner [via]
More editions of A History of Mathematics:
- A History of Mathematics: ISBN 0691023913 (0-691-02391-3)
  Softcover, Princeton Univ Pr
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How to Lie With Statistics
by Darrell Huff

ISBN 039309426X (0-393-09426-X)
Softcover, W W Norton & Co Inc

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Book summary:
"There is terror in numbers," writes Darrell Huff in How to Lie with Statistics. And nowhere does this terror translate to blind acceptance of authority more than in the slippery world of averages, correlations, graphs, and trends. Huff sought to break through "the daze that follows the collision of statistics with the human mind" with this slim volume, first published in 1954. The book remains relevant as a wake-up call for people unaccustomed to examining the endless flow of numbers pouring from Wall Street, Madison Avenue, and everywhere else someone has an axe to grind, a point to prove, or a product to sell. "The secret language of statistics, so appealing in a fact-minded culture, is employed to sensationalize, inflate, confuse, and oversimplify," warns Huff.
Although many of the examples used in the book are charmingly dated, the cautions are timeless. Statistics are rife with opportunities for misuse, from "gee-whiz graphs" that add nonexistent drama to trends, to "results" detached from their method and meaning, to statistics' ultimate bugaboo--faulty cause-and-effect reasoning. Huff's tone is tolerant and amused, but no-nonsense. Like a lecturing father, he expects you to learn something useful from the book, and start applying it every day. Never be a sucker again, he cries!

Even if you can't find a source of demonstrable bias, allow yourself some degree of skepticism about the results as long as there is a possibility of bias somewhere. There always is.
Read How to Lie with Statistics. Whether you encounter statistics at work, at school, or in advertising, you'll remember its simple lessons. Don't be terrorized by numbers, Huff implores. "The fact is that, despite its mathematical base, statistics is as much an art as it is a science." --Therese Littleton [via]
More editions of How to Lie With Statistics:
- How to Lie With Statistics: ISBN 0393310728 (0-393-31072-8)
  Softcover, W W Norton & Co Inc
- How to Lie With Statistics: ISBN 039309426X (0-393-09426-X)
  Softcover, W W Norton & Co Inc
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How to Solve It: A New Aspect of Mathematical Method
by George Polya, John Horton Conway

ISBN 069111966X (0-691-11966-X)
Softcover, Princeton Univ Pr

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Book summary:
A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight.
In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.
[via]
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Innumeracy
by John Allen Paulos

ISBN 0809058405 (0-8090-5840-5)
Softcover, Farrar Straus & Giroux

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This is the book that made "innumeracy" a household word, at least in some households. Paulos admits that "at least part of the motivation for any book is anger, and this book is no exception. I'm distressed by a society which depends so completely on mathematics and science and yet seems to indifferent to the innumeracy and scientific illiteracy of so many of its citizens."
But that is not all that drives him. The difference between our pretensions and reality is absurd and humorous, and the numerate can see this better than those who don't speak math. "I think there's something of the divine in these feelings of our absurdity, and they should be cherished, not avoided."
Paulos is not entirely successful at balancing anger and absurdity, but he tries. His diatribes against astrology, bad math education, Freud, and willful ignorance are leavened with jokes, mathematical or the sort (he claims) favored by the numerate.
It remains to be seen if Innumeracy will indeed be able, as Hofstadter hoped, to "help launch a revolution in math education that would do for innumeracy what Sabin and Salk did for polio"--but many of the improvements Paulos suggested have come to pass within 10 years. Only time will tell if the generation raised on these new principles is more resistant to innumeracy--and need only worry about being incomputable. --Mary Ellen Curtin [via]
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It Must Be Beautiful: Great Equations of Modern Science
by Graham Farmelo

ISBN 1862075557 (1-86207-555-7)
Softcover, Granta Books

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Through a study of celebrated examples, the collection of essays in It Must Be Beautiful sets out to reveal the true nature of an equation. What is an equation, after all? Why does it look the way it looks? Those lacking a scientific education can have only the vaguest idea. For a start, an equation is not one fixed thing. The same scribbles can be reinterpreted over time. (Frank Wilczek's chapter on the Dirac Equation offers fascinating insights into this process.) An equation's value can be contested, at one moment a mere "convenience", at the next, a profound expression of things. (Arthur I Miller, writing on Schrodinger's wave equation, beautifully captures the knives-drawn business of scientific interpretation.) An equation can even be a kind of political agenda. Take the Drake Equation--more properly, a formula, describing the likelihood of extra-terrestrial civilisations. Oliver Morton's acute account identifies in this equation "the classic technocratic lapse of mistaking the ability to state a question in the language of science with the ability to solve it using the practices of science". This problem haunts (as it should) the whole collection. As Farmelo writes in his introduction (paraphrasing Feynman) "... it may eventually turn out that fundamental laws of nature do not need to be stated mathematically and that they are better expressed in other ways".
Some essays here never really get to grips with the hieroglyphics, choosing instead to trace the evolution of their subject's thoughts. Others go to the other extreme. Roger Penrose's essay on General Relativity delivers the mathematical punches other science books normally pull. But by one route or another, according to your preference, you will come away from this book with a more-than-trivial insight into the power and beauty of equations. Indeed, the notion that the world could be "better expressed in other ways" is likely to be furthest from your mind. --Simon Ings [via]
More editions of It Must Be Beautiful: Great Equations of Modern Science:
- It Must Be Beautiful: Great Equations of Modern Science: ISBN 1862074798 (1-86207-479-8)
  Hardcover, Granta Books
- It Must Be Beautiful: Great Equations of Modern Science: ISBN 1862075557 (1-86207-555-7)
  Softcover, Granta Books
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The Man Who Loved Only Numbers: The Story of Paul Erdos and the Search for Mathematical Truth
by Paul Hoffman

ISBN 0786884061 (0-7868-8406-1)
Softcover, Hyperion Books

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Book summary:
Paul Erdös was an amazing and prolific mathematician whose life as a world-wandering numerical nomad was legendary. He published almost 1500 scholarly papers before his death in 1996, and he probably thought more about math problems than anyone in history. Like a traveling salesman offering his thoughts as wares, Erdös would show up on the doorstep of one mathematician or another and announce, "My brain is open." After working through a problem, he'd move on to the next place, the next solution.
Hoffman's book, like Sylvia Nasar's biography of John Nash, A Beautiful Mind, reveals a genius's life that transcended the merely quirky. But Erdös's brand of madness was joyful, unlike Nash's despairing schizophrenia. Erdös never tried to dilute his obsessive passion for numbers with ordinary emotional interactions, thus avoiding hurting the people around him, as Nash did. Oliver Sacks writes of Erdös: "A mathematical genius of the first order, Paul Erdös was totally obsessed with his subject--he thought and wrote mathematics for nineteen hours a day until the day he died. He traveled constantly, living out of a plastic bag, and had no interest in food, sex, companionship, art--all that is usually indispensable to a human life."
The Man Who Loved Only Numbers is easy to love, despite his strangeness. It's hard not to have affection for someone who referred to children as "epsilons," from the Greek letter used to represent small quantities in mathematics; a man whose epitaph for himself read, "Finally I am becoming stupider no more"; and whose only really necessary tool to do his work was a quiet and open mind. Hoffman, who followed and spoke with Erdös over the last 10 years of his life, introduces us to an undeniably odd, yet pure and joyful, man who loved numbers more than he loved God--whom he referred to as SF, for Supreme Fascist. He was often misunderstood, and he certainly annoyed people sometimes, but Paul Erdös is no doubt missed. --Therese Littleton [via]
More editions of The Man Who Loved Only Numbers: The Story of Paul Erdos and the Search for Mathematical Truth:
- The Man Who Loved Only Numbers: The Story of Paul Erdos and the Search for Mathematical Truth: ISBN 0786863625 (0-7868-6362-5)
  Hardcover, Hyperion Books
- The Man Who Loved Only Numbers: The Story of Paul Erdos and the Search for Mathematical Truth: ISBN 0786884061 (0-7868-8406-1)
  Softcover, Hyperion Books
Mathematical Tourist: New and Updated Snapshots of Modern Mathematics
by Ivars Peterson

ISBN 0716732505 (0-7167-3250-5)
Softcover, W H Freeman & Co

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Book summary:
When the first edition of Ivars Peterson's The Mathematical Tourist was published in 1988, the New York Times called it "a rich array of ideas, drawing on virtually every branch of mathematics and bunging in plenty of late-breaking developments to boot." Now Peterson has expanded this popular book to feature another decade of mathematical progress, including new sections on crystal structure, string theory, mathematicians' use of computers, chaos theory, and Fermat's Last Theorem. Most of the other sections have been reworked and reworded as well, and there are many new illustrations. One thing that has not changed is the clarity of Peterson's writing and his almost unparalleled ability to make mathematical ideas themselves interesting, without focusing on the lives and personalities of mathematicians. Martin Gardner called the first edition "a travel guide that the professional mathematician will read with as much excitement and pleasure as the veriest amateur ... a masterpiece of popular exposition," and this second edition is no less. --Mary Ellen Curtin [via]
More editions of Mathematical Tourist: New and Updated Snapshots of Modern Mathematics:
- The Mathematical Tourist : New and Updated Snapshots of Modern Mathematics: ISBN 0805071598 (0-8050-7159-8)
  Softcover, Holt & Company, Henry
- Mathematical Tourist: New and Updated Snapshots of Modern Mathematics: ISBN 0716732505 (0-7167-3250-5)
  Softcover, W H Freeman & Co
The Mathematical Tourist: Snapshots of Modern Mathematics
by Ivars Peterson

ISBN 0716720647 (0-7167-2064-7)
Softcover, W H Freeman & Co

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Book summary:
When the first edition of Ivars Peterson's The Mathematical Tourist was published in 1988, the New York Times called it "a rich array of ideas, drawing on virtually every branch of mathematics and bunging in plenty of late-breaking developments to boot." Now Peterson has expanded this popular book to feature another decade of mathematical progress, including new sections on crystal structure, string theory, mathematicians' use of computers, chaos theory, and Fermat's Last Theorem. Most of the other sections have been reworked and reworded as well, and there are many new illustrations. One thing that has not changed is the clarity of Peterson's writing and his almost unparalleled ability to make mathematical ideas themselves interesting, without focusing on the lives and personalities of mathematicians. Martin Gardner called the first edition "a travel guide that the professional mathematician will read with as much excitement and pleasure as the veriest amateur ... a masterpiece of popular exposition," and this second edition is no less. --Mary Ellen Curtin [via]
More editions of The Mathematical Tourist: Snapshots of Modern Mathematics:
- The Mathematical Tourist: Snapshots of Modern Mathematics: ISBN 0716719533 (0-7167-1953-3)
  Hardcover, Freeman
- The Mathematical Tourist: Snapshots of Modern Mathematics: ISBN 0716720647 (0-7167-2064-7)
  Softcover, W H Freeman & Co
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The Music of the Primes: Searching to Solve the Greatest Mystery in Mathematics
by Marcus Du Sautoy

ISBN 0060935588 (0-06-093558-8)
Softcover, Harpercollins

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Book summary:
Prime numbers are the atoms of arithmetic, the building blocks for all other numbers. In school, we are taught that a prime is one that cannot be divided evenly by any other number except one and itself. What we are not taught is that primes represent the most tantalizing mystery in the pursuit of human knowledge. How can one predict when the next prime number will occur? Is there a formula that could generate primes? Where is the pattern behind these elusive numbers? These questions have formed a riddle that has confounded mathematicians since the ancient Greeks. The answer would revolutionize the world of math, and much more.
Nearly 150 years ago, a German mathematician named Bernard Riemann came as close as anyone has ever come to solving this problem. In 1859 he presented a paper on the subject of prime numbers to the Berlin Academy. At the heart of his presentation was an idea -- a hypothesis -- that seemed to reveal a magical harmony between primes and other numbers. It was an idea that Riemann argued was very likely to be true. But after his death, his housekeeper burned all of his personal papers, and to this day, no one knows whether he ever found the proof.
By now, the Riemann Hypothesis has become the number one obsession for the world's leading mathematicians. Considered to be even more difficult and more important than Fermat's Last Theorem, Riemann's solution would serve as a periodic table in charting the entire mathematical universe. But it has implications that go far beyondmath. It is of tremendous importance in business, since prime numbers are the linchpin for security in banking and e-commerce. It is also the idea that brings together vastly different areas of science, with critical ramifications for Quantum Mechanics, Chaos Theory, and the future of computing. Pioneers in each of these fields are racing to crack the code, and a prize of one million dollars has been offered to the winner.
In this remarkable book, Marcus du Sautoy tells a story of eccentric and brilliant men, and of the unquenchable thirst for knowledge that has driven some to madness and others to glory. Illuminating, authoritative, and extremely engaging, The Music of the Primes provides the extraordinary history behind the holy grail of mathematics and the ongoing quest to capture it.
[via]
More editions of The Music of the Primes: Searching to Solve the Greatest Mystery in Mathematics:
- The Music of the Primes: Searching to Solve the Greatest Mystery in Mathematics: ISBN 0066210704 (0-06-621070-4)
  Hardcover, HarperCollins Canada, Limited
- The Music of the Primes: Searching to Solve the Greatest Mystery in Mathematics: ISBN 0060935588 (0-06-093558-8)
  Softcover, Harpercollins
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Nature's Numbers: The Unreal Reality of Mathematical Imagination
by Ian Stewart

ISBN 0465072739 (0-465-07273-9)
Hardcover, Perseus Books Group

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Book summary:
The well-known author of the "Mathematical Recreations" column in Scientific American explains the key concepts in math and their implications, pointing out that although mathematics is totally unreal--an entirely mental construct--it is the best tool available for describing and understanding the real world. Illustrations. [via]
More editions of Nature's Numbers: The Unreal Reality of Mathematical Imagination:
- Nature's Numbers: The Unreal Reality of Mathematical Imagination: ISBN 0465072739 (0-465-07273-9)
  Hardcover, Perseus Books Group
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Nature's Numbers: The Unreal Reality of Mathematics
by Ian Stewart

ISBN 0465072747 (0-465-07274-7)
Softcover, Basic Books

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Book summary:
"It appears to us that the universe is structured in a deeply mathematical way. Falling bodies fall with predictable accelerations. Eclipses can be accurately forecast centuries in advance. Nuclear power plants generate electricity according to well-known formulas. But those examples are the tip of the iceberg. In Nature's Numbers, Ian Stewart presents many more, each charming in its own way.. Stewart admirably captures compelling and accessible mathematical ideas along with the pleasure of thinking of them. He writes with clarity and precision. Those who enjoy this sort of thing will love this book." - Los Angeles Times [via]
More editions of Nature's Numbers: The Unreal Reality of Mathematics:
- Nature's Numbers: The Unreal Reality of Mathematics: ISBN 0465072747 (0-465-07274-7)
  Softcover, Basic Books
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The Number Devil
by Michael Henry Heim, Hans Mangus Enzensberger, Rotraut Susanne Berner

ISBN 0805062998 (0-8050-6299-8)
Softcover, Henry Holt & Co

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Young Robert's dreams have taken a decided turn for the weird. Instead of falling down holes and such, he's visiting a bizarre magical land of number tricks with the number devil as his host. Starting at one and adding zero and all the rest of the numbers, Robert and the number devil use giant furry calculators, piles of coconuts, and endlessly scrolling paper to introduce basic concepts of numeracy, from interesting number sequences to exponents to matrices. Author Hans Magnus Enzensberger's dry humor and sense of wonder will keep you and your kids entranced while you learn (shhh!) mathematical principles. Who could resist the little red guy who calls prime numbers "prima donnas," irrational numbers "unreasonable," and roots "rutabagas"? Not that the number devil is without his devilish qualities. He loses his temper when Robert looks for the easy way out of a number puzzle or dismisses math as boring and useless. "What do you expect?" he asks. "I'm the number devil, not Santa Claus." (Ages 10 to adult) --Therese Littleton [via]
More editions of The Number Devil:
- The Number Devil: ISBN 0805062998 (0-8050-6299-8)
  Softcover, Henry Holt & Co
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The Number Devil : A Mathematical Adventure
by Hans Magnus Enzensberger, Rotraut Susanne Berner, Michael Henry Heim

ISBN 0805057706 (0-8050-5770-6)
Hardcover, Holt & Company, Henry

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Book summary:
Young Robert's dreams have taken a decided turn for the weird. Instead of falling down holes and such, he's visiting a bizarre magical land of number tricks with the number devil as his host. Starting at one and adding zero and all the rest of the numbers, Robert and the number devil use giant furry calculators, piles of coconuts, and endlessly scrolling paper to introduce basic concepts of numeracy, from interesting number sequences to exponents to matrices. Author Hans Magnus Enzensberger's dry humor and sense of wonder will keep you and your kids entranced while you learn (shhh!) mathematical principles. Who could resist the little red guy who calls prime numbers "prima donnas," irrational numbers "unreasonable," and roots "rutabagas"? Not that the number devil is without his devilish qualities. He loses his temper when Robert looks for the easy way out of a number puzzle or dismisses math as boring and useless. "What do you expect?" he asks. "I'm the number devil, not Santa Claus." (Ages 10 to adult) --Therese Littleton [via]
More editions of The Number Devil : A Mathematical Adventure:
- The Number Devil : A Mathematical Adventure: ISBN 0805057706 (0-8050-5770-6)
  Hardcover, Holt & Company, Henry
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The Penguin Dictionary of Curious and Interesting Numbers
by David Wells

ISBN 0140261494 (0-14-026149-4)
Softcover, Penguin Group USA

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Book summary:
First published in 1986, this mind-boggling and entertaining dictionary, arranged in order of magnitude, exposes the fascinating facts about certain numbers and number sequences - very large primes, amicable numbers and golden squares to give but a few examples. [via]
More editions of The Penguin Dictionary of Curious and Interesting Numbers:
- The Penguin Dictionary of Curious and Interesting Numbers: ISBN 0140080295 (0-14-008029-5)
  Softcover, Penguin USA
- The Penguin Dictionary of Curious and Interesting Numbers: ISBN 0140261494 (0-14-026149-4)
  Softcover, Penguin Group USA
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Proofs from the Book
by Gunter M. Ziegler, Martin Aigner

ISBN 3540636986 (3-540-63698-6)
Hardcover, Springer Verlag

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Book summary:
The (mathematical) heroes of this book are "perfect proofs": brilliant ideas, clever connections and wonderful observations that bring new insight and surprising perspectives on basic and challenging problems from Number Theory, Geometry, Analysis, Combinatorics, and Graph Theory. Thirty beautiful examples are presented here. They are candidates for The Book in which God records the perfect proofs - according to the late Paul Erd/s, who himself suggested many of the topics in this collection. The result is a book which will be fun for everybody with an interest in mathematics, requiring only a very modest (undergraduate) mathematical background. For this revised and expanded second edition several chapters have been revised and expanded, and three new chapters have been added. According to the great mathematician Paul Erd/s, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, sis, com binatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics. [via]
More editions of Proofs from the Book:
- Proofs from the Book: ISBN 3540678654 (3-540-67865-4)
  Hardcover, Springer Verlag
- Proofs from the Book: ISBN 3540636986 (3-540-63698-6)
  Hardcover, Springer Verlag
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Proofs from the Book
by Martin Aigner, Günter M. Ziegler, K. H. Hofmann

ISBN 3540404600 (3-540-40460-0)
Hardcover, Springer London, Limited

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Book summary:
From the Reviews:

"... Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: "... all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999

"... the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 1999

This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals".
[via]
More editions of Proofs from the Book:
- Proofs from the Book: ISBN 3540404600 (3-540-40460-0)
  Hardcover, Springer London, Limited
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The Road to Reality: A Complete Guide to the Laws of the Universe
by Roger Penrose

ISBN 0679776311 (0-679-77631-1)
Softcover, Random House Inc

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Book summary:
From one of our greatest living scientists, a magnificent book that provides, for the serious lay reader, the most comprehensive and sophisticated account we have yet had of the physical universe and the essentials of its underlying mathematical theory.

Since the earliest efforts of the ancient Greeks to find order amid the chaos around us, there has been continual accelerated progress toward understanding the laws that govern our universe. And the particularly important advances made by means of the revolutionary theories of relativity and quantum mechanics have deeply altered our vision of the cosmos and provided us with models of unprecedented accuracy.

What Roger Penrose so brilliantly accomplishes in this book is threefold. First, he gives us an overall narrative description of our present understanding of the universe and its physical behaviorsfrom the unseeable, minuscule movement of the subatomic particle to the journeys of the planets and the stars in the vastness of time and space.

Second, he evokes the extraordinary beauty that lies in the mysterious and profound relationships between these physical behaviors and the subtle mathematical ideas that explain and interpret them.

Third, Penrose comes to the arresting conclusionas he explores the compatibility of the two grand classic theories of modern physicsthat Einsteins general theory of relativity stands firm while quantum theory, as presently constituted, still needs refashioning.

Along the way, he talks about a wealth of issues, controversies, and phenomena; about the roles of various kinds of numbers in physics, ideas of calculus and modern geometry, visions of infinity, the big bang, black holes, the profound challenge of the second law of thermodynamics, string and M theory, loop quantum gravity, twistors, and educated guesses about science in the near future. In The Road to Reality he has given us a work of enormous scope, intention, and achievementa complete and essential work of science [via]
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Uncle Petros and Goldbach's Conjecture: A Novel of Mathematical Obsession
by Apostolos K. Doxiadis

ISBN 1582341281 (1-58234-128-1)
Softcover, Bloomsbury Publishing

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"Every family has its black sheep--in ours it was Uncle Petros." The narrator of Apostolos Doxiadis's first novel, Uncle Petros and Goldbach's Conjecture, is unable to understand the reasons for his uncle's fall from grace. A kindly, gentle recluse devoted only to gardening and chess, Petros Papachristos exhibits no sign of dissolution or indolence: so why is he held in such low esteem? One day, his brother reveals all:
'Your Uncle Petros cast pearls before swine; he took something holy and sacred and great, and shamelessly defiled it!' ... 'His gift, of course!' ... 'The great, unique gift that God had blessed him with, his phenomenal, unprecedented, mathematical talent! The miserable fool wasted it; he squandered it and threw it out with the garbage. Can you imagine it? The ungrateful bastard never did one day's useful work in mathematics. Never! Nothing! Zero!'
Needless to say, such apoplexy only provokes the boy's curiosity, and what he eventually discovers is a story of obsession and frustration, of Uncle Petros's attempts at finding a proof for one of mathematics' great enigmas--Goldbach's Conjecture.
The innumerate may initially find this undramatic material for a novel. Yet Doxiadis offers up a beautifully imagined narrative, which reveals a rarefied world of the intellect that few people will ever enter, in which numbers are entirely animate entities, each possessed of "a distinct personality." Without ever alienating the reader, he demonstrates the enchantments of this art as well as the ambition, envy, and search for glory that permeate its apostles. Balancing the narrator's own awkward move into adulthood with the painful memories of his brilliant relative, Doxiadis shows how seductive the world of numbers can be, and how cruel a mistress. "A mathematician is born, not made," Petros declares--an inheritance that proves both a curse and a gift. --Burhan Tufail [via]
More editions of Uncle Petros and Goldbach's Conjecture: A Novel of Mathematical Obsession:
- Uncle Petros and Goldbach's Conjecture : A Novel of Mathematical Obsession: ISBN 1582340676 (1-58234-067-6)
  Hardcover, Bloomsbury Publishing
- Uncle Petros and Goldbach's Conjecture: A Novel of Mathematical Obsession: ISBN 1582341281 (1-58234-128-1)
  Softcover, Bloomsbury Publishing
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Universal History of Numbers
by Georges Ifrah

ISBN 1860467385 (1-86046-738-5)
Softcover, Trafalgar Square

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Book summary:
The title doesn't lie. Mathematician Georges Ifrah's masterpiece, The Universal History of Numbers, is a wonderfully comprehensive overview of numbers and counting spanning all the inhabited continents as far back in time as records will allow us to look. Beyond the ancient Babylonians, Sumerians, and Indians, Ifrah takes us farther south into Africa to examine an early decimal counting system and into ancient Mexico to reconstruct what we can of the Mayan calendar and numerical system. The 27 chapters are chiefly organized by culture, though there are some cross-cultural overviews of topics like letters and numbers.
The author's aim was grand: "to provide in simple and accessible terms the full and complete answer to all and any questions ... about the history of numbers and counting, from prehistory to the age of computers." This led him to wander the world for 10 years, studying and learning; this scholastic pilgrim has returned with amazing stories to tell. Toward the end of the book, Ifrah makes the book truly universal by refuting alien-intervention theories of cultural origins--surely our benefactors would have given us an efficient decimal counting system, zero and all, before helping us build pyramids and such. Such charming ideas, combined with such rigorously researched facts, make The Universal History of Numbers a uniquely important and fascinating volume. --Rob Lightner [via]
More editions of Universal History of Numbers:
- Universal History of Numbers: ISBN 1860467385 (1-86046-738-5)
  Softcover, Trafalgar Square
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Universal History of Numbers: From Prehistory to the Invention of the Computer
by Georges Ifrah, David Bellos

ISBN 186046324X (1-86046-324-X)
Softcover, Harvill Pr

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Book summary:
The title doesn't lie. Mathematician Georges Ifrah's masterpiece, The Universal History of Numbers, is a wonderfully comprehensive overview of numbers and counting spanning all the inhabited continents as far back in time as records will allow us to look. Beyond the ancient Babylonians, Sumerians, and Indians, Ifrah takes us farther south into Africa to examine an early decimal counting system and into ancient Mexico to reconstruct what we can of the Mayan calendar and numerical system. The 27 chapters are chiefly organized by culture, though there are some cross-cultural overviews of topics like letters and numbers.
The author's aim was grand: "to provide in simple and accessible terms the full and complete answer to all and any questions ... about the history of numbers and counting, from prehistory to the age of computers." This led him to wander the world for 10 years, studying and learning; this scholastic pilgrim has returned with amazing stories to tell. Toward the end of the book, Ifrah makes the book truly universal by refuting alien-intervention theories of cultural origins--surely our benefactors would have given us an efficient decimal counting system, zero and all, before helping us build pyramids and such. Such charming ideas, combined with such rigorously researched facts, make The Universal History of Numbers a uniquely important and fascinating volume. --Rob Lightner [via]
More editions of Universal History of Numbers: From Prehistory to the Invention of the Computer:
- Universal History of Numbers: From Prehistory to the Invention of the Computer: ISBN 186046324X (1-86046-324-X)
  Softcover, Harvill Pr

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El Curioso Incidente Del Perro A Medianoche
by Mark Haddon

ISBN 8478889108 (84-7888-910-8)
Softcover, Salamandra Publicacions Y Edicions

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2005 SALAMANDRA Spanish Edition SOFTCOVER [via]
More editions of El Curioso Incidente Del Perro A Medianoche:
- El Curioso Incidente Del Perro A Medianoche: ISBN 8478889108 (84-7888-910-8)
  Softcover, Salamandra Publicacions Y Edicions
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Gdel, Escher, Bach
by D.R. Hofstadter

ISBN 8472234592 (84-7223-459-2)
Softcover, Tusquets Editor

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Book summary:
¿Puede un sistema comprenderse a sí mismo ? Si esta pregunta se refiere a la mente humana, entonces nos encontramos ante una cuestión clave del pensamiento científico. Y de la filosofía. Y del arte. Investigar este misterio es una aventura que recorre la matemática, la física, la biología, la psicología y, muy especialmente, el lenguaje. Douglas R. Hofstadter, joven y ya célebre científico, nos abre la puerta del enigma con la belleza y la alegría creadora de su estilo. Sorprendentes paralelismos ocultos entre los grabados de Escher y la música de Bach nos remiten a las paradojas clásicas de los antiguos griegos y a un teorema de la lógica matemática moderna que ha estremecido el pensamiento del siglo XX : el de Kurt Gödel. Todo lenguaje, todo sistema formal, todo programa de ordenador, todo proceso de pensamiento, llegan, tarde o temprano, a la situación límite de la autorreferencia : de querer expresarse sobre sí mismos. Surge entonces la emoción del infinito, como dos espejos enfrentados y obligados a reflejarse mutua e indefinidamente. Gödel, Escher, Bach: un Eterno y Grácil Bucle, es una obra de arte escrita por un sabio. Versa sobre los misterios del pensamiento e incluye, ella misma, sus propios misterios. / Winner of the Pulitzer Prize, this book applies Godel's seminal contribution to modern Twenty years after it topped the bestseller charts, Douglas R. Hofstadter's Gödel, Escher, Bach: An Eternal Golden Braid is still something of a marvel. Besides being a profound and entertaining meditation on human thought and creativity, this book looks at the surprising points of contact between the music of Bach, the artwork of Escher, and the mathematics of Gödel.mathematics to the study of the human mind and the development of artificial intelligence. [via]
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- Gdel, Escher, Bach: ISBN 8472234592 (84-7223-459-2)
  Softcover, Tusquets Editor
Una Mente Prodigiosa / A Beautiful Mind
by Sylvia Nasar, Ricard Martinez Muntada

ISBN 8497934393 (84-9793-439-3)
Softcover, Debolsillo

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More editions of Una Mente Prodigiosa / A Beautiful Mind:
- Una Mente Prodigiosa / A Beautiful Mind: ISBN 8497934393 (84-9793-439-3)
  Softcover, Debolsillo

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