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› Find signed collectible books: 'Actuarial Mathematics'
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› Find signed collectible books: 'Actuarial Mathematics'
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› Find signed collectible books: 'Beyond the Third Dimension : Geometry, Computer Graphics and Higher Dimensions'
This work investigates ways of picturing and understanding dimensions below and above our own. What would a two-dimensional universe be like? How can we even attempt to picture objects of four, five or six dimensions? Such are the questions examined in this text. [via]
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› Find signed collectible books: 'Calculus'
› Find signed collectible books: 'Calculus for Cats'
This is a book for people about to take calculus, and for survivors of calculus who still wonder what it was all about. It gently explains the basic concepts and vocabulary without making the reader ever do a single problem.
Even if you cringe at math, you'll enjoy the book's irreverent style and vivid imagery. A couple of hours from now, when you're done reading, you may be surprised that calculus no longer seems nearly so frightening [via]
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› Find signed collectible books: 'Chaos and Fractals: The Mathematics Behind the Computer Graphics'
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› Find signed collectible books: 'Collins Dictionary of Mathematics'
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› Find signed collectible books: 'Complexification: Explaining a Paradoxical World Through the Science of Surprise'
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› Find signed collectible books: 'Connections: The Geometric Bridge Between Art and Science'
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› Find signed collectible books: 'Continued Fractions'
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› Find signed collectible books: 'CRC Standard Mathematical Tables and Formulae'
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› Find signed collectible books: 'Crypto: How the Code Rebels Beat the Government--Saving Privacy in the Digital Age'
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› Find signed collectible books: 'Dictionary of Mathematics Terms'
A fast-reference source for advanced high school and college math students. Also useful to professionals who use math on the job. Approximately 700 math terms are defined. Includes illustrative diagrams. [via]
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› Find signed collectible books: 'The Difference Engine: Charles Babbage and the Quest to Build the First Computer'
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› Find signed collectible books: 'Differential Equations with Boundary-Value Problems'
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› Find signed collectible books: 'Discrete Mathematics'
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› Find signed collectible books: 'Divine Proportion: Phi in Art, Nature, And Science'
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› Find signed collectible books: 'Elementary Number Theory'
This text provides a simple account of classical number theory, as well as some of the historical background in which the subject evolved. It is intended for use in a one-semester, undergraduate number theory course taken primarily by mathematics majors and students preparing to be secondary school teachers. Although the text was written with this audience in mind, very few formal prerequisites are required. Much of the text can be read by students with a sound background in high school mathematics. [via]
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› Find signed collectible books: 'Elementary Statistics'
› Find signed collectible books: 'Enigmas of Chance: An Autobiography'
Mark Kac led a life filled with discovery and achievement. Enigmas of Chance, his memoir, traces that life from his youth in Poland through his long and brilliant career in mathematical research in the United States. Among his important contributions to the field of mathematical physics are such prize-winning and classic works as "Can One Hear the Shape of a Drum?" and "Random Walk and the Theory of Brownian Motion."
If the subject of Kac's research seems obscure, Enigmas of Chance is not. From the outset we are introduced to a delightful and brilliant man whose sense of humor and worldliness match his extraordinary abilities. Kac was a rare combination of scholar and teacher whose ability to inspire in others his own enthusiasm for the wonders of mathematics as well as to reveal its mysteries won admiration from both students and colleagues. Kac was "discovered" by his teachers early on, and their expectations were fulfilled when he became a prize student under Hugo Steinhaus, the Polish mathematician, and went on to become an authority in the field of mathematical physics. As well as providing a view of academic life, Kac describes family life and the political climate in Poland before the war, the growing anti-Semitism, and his escape from Poland before Hitler's invasion in 1939. He also writes of his research and teaching at Cornell, at the Institute for Advanced Study in Princeton, and at Rockefeller University.
Enigmas of Chance is a rare look at the world of mathematics and physics, with insights and anecdotes that will delight both specialists and generalists alike.
Enigmas of Chance is the sixth book in the Alfred P Sloan Foundation series of memoirs by eminent scientists to be published by Harper & Row. [via]
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› Find signed collectible books: 'Equations of Eternity: Speculations on Consciousness, Meaning, and the Mathematical Rules That Orchestrate the Cosmos'
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› Find signed collectible books: 'Feynman Lectures on Computation'
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› Find signed collectible books: 'Figuring: The Joy of Numbers'
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› Find signed collectible books: 'Finite and Infinite Games'
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› Find signed collectible books: 'Flatland: A Journey of Many Dimensions'
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]
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› Find signed collectible books: 'Forgotten Calculus: A Refresher Course With Applications to Economics and Business (And the Optional Use of the Graphing Calculator)'
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› Find signed collectible books: 'The French Mathematician'
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› Find signed collectible books: 'God's Equation: Einstein, Relativity, and the Expanding Universe'
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› Find signed collectible books: 'Graphs and Their Uses'
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› Find signed collectible books: 'Great Books of the Western World'
The Iliad (Ancient Greek ?????, Ilias) is, together with the Odyssey, one of two ancient Greek epic poems attributed to Homer, a supposedly blind Ionian poet. The epics are considered by most modern scholars to be the oldest literature in the Greek language. The Iliad concerns events during the tenth and final year in the siege of the city of Ilion, or Troy, by the Greeks. The Odyssey (Greek: ????????, Odusseia)is commonly dated circa 800 to 600 BC. The poem is, in part, a sequel to Homer's Iliad and mainly concerns the events that befall the Greek hero Odysseus (or Ulysses) in his long journeys after the fall of Troy and when he at last returns to his native land of Ithaca. [via]
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› Find signed collectible books: 'Great Books of the Western World'
A Reader's Guide to Great Books of the Western World. Publisher: Robert P. Gwinn. Published by Encyclopaedia Britannica, Inc. [via]
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› Find signed collectible books: 'The Heart Of Mathematics: An Invitation To Effective Thinking'
The Heart of Mathematics addresses the big ideas of mathematics (many of which are cutting edge research topics) in a non-computational style intended to be both read and enjoyed by students and instructors, as well as by motivated general readers. It features an engaging, lively, humorous style full of surprises, games, mind-benders, and all without either sacrificing good mathematical thought or relying on mathematical computation or symbols.
The authors are award-winning authors, holding awards such as: Distinguished Teaching Award (Burger, from the Mathematical Association of America); Chauvenet Prize (the best expository mathematics writer in the world, Burger, from the MAA) and many others.
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› Find signed collectible books: 'A History of Mathematical Notations'
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› Find signed collectible books: 'How to Ace the Rest of Calculus: The Streetwise Guide'
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› Find signed collectible books: 'The Illustrated Longitude'
Dava Sobel's Longitude tells the story of how 18th-century scientist and clockmaker William Harrison solved one of the most perplexing problems of history--determining east-west location at sea. This lush, colorfully illustrated edition adds lots of pictures to the story, giving readers a more satisfying sense of the times, the players, and the puzzle. This was no obscure, curious difficulty--without longitude, ships often found themselves so far off course that sailors would starve or die of scurvy before they could reach port. When a nationally-sponsored contest offered a hefty cash prize to the person who could develop a method to accurately determine longitude, the race was on. In the end, the battle of accuracy--and wills--fought between Harrison and arch-rival Maskelyne was ruthless and dramatic, worthy of a Hollywood feature film. Longitude's story is surprising and fascinating, offering a window into the past, before Global Positioning Satellites made it look easy. --Therese Littleton [via]
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› Find signed collectible books: 'Introducing Mathematics'
Introducing Mathematics traces the story of mathematics from the ancient world to modern times, describing the great discoveries and providing an accessible introduction to such topics as number-systems, geometry and algebra, calculus, the theory of the infinite, statistical reasoning and chaos theory. [via]
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› Find signed collectible books: 'Introduction to Analysis'
This book takes a rigorous approach to, and therefore creates a deeper understanding of, the usual topics handled in one-dimensional calculus--limits, continuity, differentiation, integration, and infinite series. The text was designed to bridge the gap between intuitive calculus courses normally offered at the undergraduate level and the sophisticated analysis courses offered at the senior or graduate level. The author wrote the book with two goals in mind: the development of a rigorous foundation for the basic topics of analysis, and the less tangible acquisition of an accurate intuitive feeling for analysis. [via]
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› Find signed collectible books: 'Introduction to Applied Mathematics'
Introduction to Applied Math offers a comprehensive introductory treatment of the subject. The authors explanations of Applied Mathematics are clearly stated and easy to understand. The reference includes a wide range of timely topics from symmetric linear systems to optimization as well as illuminating hands-on examples.
Chapter 1: Symmetric Linear Systems; Chapter 2: Equilibrium Equations; Chapter 3: Equilibrium in the Continuous Case; Chapter 4: Analytical Methods; Chapter 5: Numerical Methods; Chapter 6: Initial-Value Problems; Chapter 7: Network Flows and Combinatorics; Chapter 8: Optimization; Software for Scientific Computing. [via]
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› Find signed collectible books: 'Introduction to Lie Algebras and Representation Theory'
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› Find signed collectible books: 'Introduction to Metamathematics'
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› Find signed collectible books: 'An Introduction to Number Theory'
The majority of students who take courses in number theory are mathematics majors who will not become number theorists. Many of them will, however, teach mathematics at the high school or junior college level, and this book is intended for those students learning to teach, In addition to a careful presentation of the standard material usually taught in a first course in elementary number theory, this book includes a chapter on quadratic fields which the author has designed to make students think about some of the "obvious" concepts they have taken for granted earlier. The book also includes a large number of exercises, many of which are nonstandard.
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› Find signed collectible books: 'Introduction to the Practice of Statistics Ise'
With its focus on data analysis, statistical reasoning, and the way statisticians actually work, "Introduction to the Practice of Statistics" has helped to revolutionize the way statistics are taught in the classroom. It frees students from an overload of computation, enabling them to go beyond the raw numbers to see what the data actually means. A companion website is available filled with quizzes, study guides, images from the text and further resources for both students and instructors. [via]
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› Find signed collectible books: 'Introduction to Stochastic Processes'
An excellent introduction for electrical, electronics engineers and computer scientists who would like to have a good, basic understanding of the stochastic processes! This clearly written book responds to the increasing interest in the study of systems that vary in time in a random manner. It presents an introductory account of some of the important topics in the theory of the mathematical models of such systems. The selected topics are conceptually interesting and have fruitful application in various branches of science and technology. [via]
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› Find signed collectible books: 'Isaac Newton'
It is a brave writer who tackles a biography of the world famous pioneer mathematician and physicist Sir Isaac Newton and James Gleick has acquitted himself superbly well in his new bookIsaac Newton. Accolades to Newton were piling up even during his early lifetime in the 17th century when such fame was usually confined to royalty, popes and archbishops and certainly not to ordinary mortals born in 1642 of yeomen stock in deepest rural England. According to Gleick, Newton was the first person whose attainment "lay in the realm of the mind" to have a state funeral and be buried in Westminster Abbey. A Latin inscription proclaimed his "strength of mind almost divine" with "mathematical principles peculiarly his own" and declared that "mortals rejoice that there has existed so great an ornament of the human race"--not bad for a farm boy from Lincolnshire.
Sensibly, Gleick, a well-known American science writer and author of the acclaimed Chaos, focuses a great deal on how such a transformation could happen to anyone with such humble beginnings at that time in British history. There is no doubt Newton's innate talent and genius but he was also lucky in that he had excellent schooling and through the intervention of a relative he was able to go to the University of Cambridge and went on to stay there most of his professional life. His mother supplied him with "a chamber pot; a notebook of 140 blank pages... a quart bottle and ink to fill it, candles for many long nights, and a lock for his desk". Try sending your child to university so equipped today.
Of course the critical achievements of Newton's life were in his scientific achievements and here is the real problem: how to explain them for the general reader when even academic mathematicians today find much of the detail of Newton's work hard to comprehend. This is largely because Newton did not have today's familiar technical language or standard units of measurement available to him; he really was exploring terra incognita and feeling his way. But this is exactly what Gleick manages to get over so well and there is so much more. Aside from it being an eminently accessible biography, illustrations, extensive notes, bibliography and index make this an invaluable source for anyone who wants to enter the wonderful and arcane world of Sir Isaac Newton. --Douglas Palmer [via]
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› Find signed collectible books: 'It Must Be Beautiful: Great Equations of Modern Science'
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]
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› Find signed collectible books: 'The Kingdom of Infinite Number: A Field Guide'
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› Find signed collectible books: 'Longitude: The True Story of a Lone Genius Who Solved the Greatest Scientific Problem of His Time'
Dava Sobel's Longitude tells the story of how 18th-century scientist and clockmaker William Harrison solved one of the most perplexing problems of history--determining east-west location at sea. This lush, colorfully illustrated edition adds lots of pictures to the story, giving readers a more satisfying sense of the times, the players, and the puzzle. This was no obscure, curious difficulty--without longitude, ships often found themselves so far off course that sailors would starve or die of scurvy before they could reach port. When a nationally-sponsored contest offered a hefty cash prize to the person who could develop a method to accurately determine longitude, the race was on. In the end, the battle of accuracy--and wills--fought between Harrison and arch-rival Maskelyne was ruthless and dramatic, worthy of a Hollywood feature film. Longitude's story is surprising and fascinating, offering a window into the past, before Global Positioning Satellites made it look easy. --Therese Littleton [via]
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› Find signed collectible books: 'M.C. Escher: Visions of Symmetry'
Doris Schattschneider's classic M. C. Escher: Visions of Symmetry (1990) is the most penetrating study of Escher's work in existence, and the one most admired by mathematicians and scientists. It deals with one powerful obsession that preoccupied Escher: what he called "the regular division of the plane," the puzzle-like interlocking of birds, fish, lizards, and other natural forms in continuous patterns. Schattschneider asks, "How did he do it?" She answers the question by meticulously analyzing Escher's notebooks, and the New Scientist described the result as "a collection of detective stories whose plots are brilliantly organized patterns."
Like the first edition of the book, this new volume includes many of Escher's masterworks, as well as hundreds of lesser-known examples of his work. It also features an illustrated epilogue by the author that reveals new information about Escher's inspiration and shows how his ideas of symmetry have influenced mathematicians, computer scientists, and contemporary artists. Visions of Symmetry is a trip into the mind of a creator who continues to captivate the world. [via]
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› Find signed collectible books: 'Martin Gardner's New Mathematical Diversions from "Scientific American"'
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› Find signed collectible books: 'Mathematical Biology'
The book is a textbook (with many exercises) giving an in-depth account of the practical use of mathematical modelling in the biomedical sciences. The mathematical level required is generally not high and the emphasis is on what is required to solve the real biological problem. The subject matter is drawn, e.g. from population biology, reaction kinetics, biological oscillators and switches, Belousov-Zhabotinskii reaction, reaction-diffusion theory, biological wave phenomena, central pattern generators, neural models, spread of epidemics, mechanochemical theory of biological pattern formation and importance in evolution. Most of the models are based on real biological problems and the predictions and explanations offered as a direct result of mathematical analysis of the models are important aspects of the book. The aim is to provide a thorough training in practical mathematical biology and to show how exciting and novel mathematical challenges arise from a genuine interdisciplinary involvement with the biosciences. The book also shows how mathematics can contribute to the science of the next 100 years and how physical scientists must get involved. It presents a broad view of the field of theoretical and mathematical biology and is a good starting place from which to start genuine interdisciplinary research. [via]
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› Find signed collectible books: 'Mathematical Puzzles: A Connoisseur's Collection'
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› Find signed collectible books: 'Mathematics and Optimal Form'
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› Find signed collectible books: 'Mathematics: Is God Silent'
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› Find signed collectible books: 'Mathematics of Choice: Or, How to Count Without Counting'
A study of combinatorics--formulas used in solving problems that ask how many. Counting lies at the heart of most mathematics, and this book's subtitle says it all-How to count without counting. This is the whole art of combinatorics: permutations, combinations, binomial coefficients, the inclusion- exclusion principle, combinatorial probability, partitions of numbers, generating polynomials, the pigeonhole principle, and much more. The exercises in this book can all easily be done by hand on paper. [via]
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› Find signed collectible books: 'Miracle Math: How to Develop a Calculator in Your Head'
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› Find signed collectible books: 'More Joy of Mathematics: Exploring Mathematics All Around You'
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› Find signed collectible books: 'Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering'
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› Find signed collectible books: 'Numerical Mathematics and Computing'
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› Find signed collectible books: 'Numerical Methods That Work'
Numerical Methods that Work, originally published in 1970, has been reissued by the MAA with a new preface and some additional problems. Acton deals with a commonsense approach to numerical algorithms for the solution of equations: algebraic, transcendental, and differential. He assumes that a computer is available for performing the bulk of the arithmetic. The book is divided into two parts, either of which could form the basis of a one-semester course in numerical methods. Part I discusses most of the standard techniques: roots of transcendental equations, roots of polynomials, eigenvalues of symmetric matrices, and so on. Part II cuts across the basic tools, stressing such commonplace problems as extrapolation, removal of singularities, and loss of significant figures. The book is written with clarity and precision, intended for practical rather than theoretical use. This book will interest mathematicians, both pure and applied, as well as any scientist or engineer working with numerical problems. [via]
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› Find signed collectible books: 'Platonic & Archimedean Solids'
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› Find signed collectible books: 'Probability and Statistics for Engineers and Scientists'
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› Find signed collectible books: 'Science, Numbers and I.'
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› Find signed collectible books: 'Set Theory'
Set Theory has experienced a rapid development in recent years, with major advances in forcing, inner models, large cardinals and descriptive set theory. The present book covers each of these areas, giving the reader an understanding of the ideas involved. It can be used for introductory students and is broad and deep enough to bring the reader near the boundaries of current research. Students and researchers in the field will find the book invaluable both as a study material and as a desktop reference. TOCI. Basic Set Theory.- Axioms of Set Theory.- Ordinal Numbers.- Cardinal Numbers.- Real Numbers.- The Axiom of Choice and Cardinal Arithmetic.- The Axiom of Regularity.- Filters, Ultrafilters and Boolean Algebras.- Stationary Sets.- Combinatorial Set Theory.- Measurable Cardinals.- Borel and Analytic Sets.- Models of Set Theory.- II. Advanced Set Theory.- Constructible Sets.- Forcing.- Applications of Forcing.- Iterated Forcing and Martin's Axiom.- Large Cardinals.- Large Cardinals and L.- Iterated Ultrapowers and LÄUÜ.- Very Large Cardinals.- Large Cardinals and Forcing.- Saturated Ideals.- The Nonstationary Ideal.- The Singular Cardinal Problem.- Descriptive Set Theory.- The Real Line.- III. Selected Topics.- Combinatorial Principles in L.- More Applications of Forcing.- More Combinatorial Set Theory.- Complete Boolean Algebras.- Proper Forcing.- More Descriptive Set Theory.- Determinacy.- Supercompact Cardinals and the Real Line.- Inner Models for Large Cadinals.- Forcing and Large Cardinals.- Martin's Maximum.- More on Stationary Sets.- Bibliography.- Notation.- Index.- Name Index. [via]

› Find signed collectible books: 'Tensor Calculus'
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› Find signed collectible books: 'The Thread'
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› Find signed collectible books: 'Topology and Geometry'
This book is intended as a textbook for a first-year graduate course onalgebraic topology, with as strong flavoring in smooth manifold theory.Starting with general topology, it discusses differentiable manifolds,cohomology, products and duality, the fundamental group, homology theory,and homotopy theory. It covers most of the topics all topologists willwant students to see, including surfaces, Lie groups and fibre bundle theory.With a thoroughly modern point of view, it is the first truly new textbookin topology since Spanier, almost 25 years ago. Although the book is comprehensive,there is no attempt made to present the material in excessive generality,except where generality improves the efficiency and clarity of the presentation. [via]
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› Find signed collectible books: 'Universal History of Numbers'
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]
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› Find signed collectible books: 'The Wild Numbers'
Mathematical insight is like an assassin's bullet--you don't know it's there until it hits you. Dutch philosopher and mathematician Philibert Schogt shows us the workings of the math-obsessed mind in his short novel The Wild Numbers. Following the mental and physical ramblings of the unspectacular Professor Isaac Swift as he comes closer to solving a beautifully thorny problem left behind generations ago by an eccentric French genius, the book cleverly dissects the forces driving mathematical creativity. Swift just barely balances his overpowering mental impulses, often likened to a "buzzing in his head," with his physical and social needs. Those familiar with academic math departments will find Schogt's eccentric crank Leonard Vale entertaining and all too true:
The pages crawled with incomprehensible equations in his familiar scratchy handwriting. He always threw in as many integral signs, sigmas, and other mathematical symbols as possible, reminding me of the calculations of comic book geniuses. Here and there he had left a clearing in the dense jungle of formulae, in which he had written profound aphorisms, underlined three times and followed by three exclamation marks.Vale becomes a serious problem when he accuses Swift of plagiarizing his work, driving the novel toward its dark conclusion. Nonmathematical readers shouldn't fear--the few equations are simply illustrations of Swift's thinking, and no advanced knowledge is required to follow the plot. Contrasting the flash of insight with the dull glow of truth, The Wild Numbers illuminates the plight of a mathematical mind stuck in a real world. --Rob Lightner [via]
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› Find signed collectible books: 'Winning Ways for Your Mathematical Plays'
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› Find signed collectible books: 'Aleatoriedad'
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› Find signed collectible books: 'Cibernetica'
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