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books tagged “number theory”
books tagged “number theory”
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Abel's Proof: An Essay on the Sources and Meaning of Mathematical Unsolvabilityby Peter PesicISBN 0262661829 (0-262-66182-9)
Softcover, Mit Pr
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Abelian 1-Adic Representations and Elliptic Curvesby Jean Pierre SerreISBN 0201093847 (0-201-09384-7)
Hardcover, Pearson Education Canada
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Advanced Topics in the Arithmetic of Elliptic Curvesby Joseph H. SilvermanISBN 0387943285 (0-387-94328-5)
Softcover, Springer Verlag
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Algebraic Number Theory: Proceedings of an Instructional Conference Organized by the London Mathematical Societyby J.W.S. Cassels, A. FrohlichISBN 0121632512 (0-12-163251-2)
Softcover, Academic Pr
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The Arithmetic of Hyperbolic 3-Manifoldsby Colin Maclachlan, Alan W. ReidISBN 0387983864 (0-387-98386-4)
Hardcover, Springer Verlag
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The Book of Nothingby John D. BarrowISBN 0224059629 (0-224-05962-9)
Hardcover, Jonathan Cape
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› Find signed collectible books: 'The Book of Nothing'Book summary:From our modern perspective, it is easy to deride the wranglings of medieval scholars over the numbers of angels that could dance on the head of a pin and whether Nature abhorred a vacuum. But as John Barrow reveals in this timely and important book, new discoveries in science have shown that these scholars were right to suspect that Nothing has hidden depths. It is a concept shot through with paradoxes: even innocent-looking phrases like "Nothing is real" flip their meanings as we ponder them, like those illusions that look like a vase one moment, and opposing faces the next. Nothing is fertile too, as Barrow shows with a stunning trick that allows every number one can think of to be built out of nothing at all. But his book is about far more than mind games. Arguably the most important discovery of 20th century physics is that there is no such thing as nothing: even the tightest vacuum is teeming with sub-atomic particles popping in and out of existence according to the dictates of quantum theory. Now many astronomers suspect that such "vacuum effects" may have triggered the Big Bang itself, filling our universe with matter. Indeed, the very latest observations suggest that vacuum effects will dictate the ultimate fate of the universe. As an internationally respected cosmologist, Barrow does a fine job of explaining these new discoveries. The result is a book that is required reading for anyone wanting to understand why there will be much ado about Nothing among scientists in the years ahead --Robert Matthews [via]
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The Book of Nothing: Vacuums, Voids, and the Latest Ideas About the Origins of the Universeby John D. BarrowISBN 0375726098 (0-375-72609-8)
Softcover, Random House Inc
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› Find signed collectible books: 'The Book of Nothing: Vacuums, Voids, and the Latest Ideas About the Origins of the Universe'Book summary:From our modern perspective, it is easy to deride the wranglings of medieval scholars over the number of angels that could dance of the head of a pin and whether Nature abhors a vacuum. But as John Barrow reveals in this timely and important book, new discoveries in science have shown that these scholars were right to suspect that Nothing has hidden depths.
It is a concept shot through with paradoxes: even innocent-looking phrases like "Nothing is real" flip their meanings as we ponder them, like those illusions that look like a vase one moment, and opposing faces the next. Nothing is fertile, too, as Barrow shows via a stunning trick that allows every number one can think of to be built out of nothing at all.
But his book is about far more than mind games. Arguably, the most important discovery of 20th-century physics is that there is no such thing as nothing: even the tightest vacuum is teeming with subatomic particles popping in and out of existence, according to the dictates of quantum theory. Now, many astronomers suspect that such "vacuum effects" may have triggered the Big Bang itself, filling our universe with matter. Indeed, the very latest observations suggest that vacuum effects will dictate the ultimate fate of the universe.
As an internationally respected cosmologist, Barrow does a fine job of explaining these new discoveries. The result is a book that is required reading for anyone who wants to understand why there will be much ado about Nothing among scientists in the years ahead. --Robert Matthews, Amazon.co.uk [via]
More editions of The Book of Nothing: Vacuums, Voids, and the Latest Ideas About the Origins of the Universe:
- The Book of Nothing : Vacuums, Voids and the Latest Ideas about the Origins of the Universe: ISBN 0375420991 (0-375-42099-1)
Hardcover, Knopf Publishing Group - The Book of Nothing: Vacuums, Voids, and the Latest Ideas About the Origins of the Universe: ISBN 0375726098 (0-375-72609-8)
Softcover, Random House Inc
- The Book of Nothing : Vacuums, Voids and the Latest Ideas about the Origins of the Universe: ISBN 0375420991 (0-375-42099-1)
The Book of Prime Number Recordsby Paulo RibenboimISBN 0387965734 (0-387-96573-4)
Hardcover, Springer-Verlag
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The Book of Squaresby Leonardo Pisano FibonacciISBN 0126431302 (0-12-643130-2)
Hardcover, Academic Pr
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A Cascade of Numbers: An Introduction to Number Theoryby Amanda Chetwynd, Bob BurnISBN 0340652519 (0-340-65251-9)
Softcover, Hodder Arnold
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Class Field Theoryby Emil Artin, John TateISBN 0201510111 (0-201-51011-1)
Hardcover, Addison-Wesley
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A Classical Introduction to Modern Number Theoryby M. Rosen, Kenneth F. IrelandISBN 038797329X (0-387-97329-X)
Hardcover, Springer Verlag
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Computers in Number Theory: Proceedings of the Science Research Council Atlas Symposium No. 2 Held at Oxford, from 18-23 August, 1969by Atlas Computer Laboratory, Bryan John Birch, Arthur Oliver Lonsdale AtkinISBN 0120657503 (0-12-065750-3)
Hardcover, Academic Press
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A Course in Computational Algebraic Number Theoryby Henri CohenISBN 0387556400 (0-387-55640-0)
Hardcover, Springer Verlag
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› Find signed collectible books: 'A Course in Computational Algebraic Number Theory'Book summary:One of the first of a new generation of books in mathematics that show the reader how to do large or complex computations using the power of computer algebra. It contains descriptions of 148 algorithms, which are fundamental for number theoretic calculations, in particular for computations related to algebraic number theory, elliptic curves, primality testing, lattices and factoring. For each subject there is a complete theoretical introduction. A detailed description of each algorithm is given allowing for immediate computer implementation. Many of the algorithms are new or appear for the first time in this book. A large number of exercises is also included. [via]
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Cryptography: A Very Short Introductionby F. C. Piper, Sean MurphyISBN 0192803158 (0-19-280315-8)
Softcover, Oxford Univ Pr
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Discrete Mathematics: With Graph Theoryby Michael M Parmenter, Edgar G. GoodaireISBN 0130920002 (0-13-092000-2)
Hardcover, Prentice Hall
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Disquisitiones Arithmeticae/English Editionby Carl Friedrich GaussISBN 0387962549 (0-387-96254-9)
Hardcover, Springer Verlag
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› Find signed collectible books: 'Disquisitiones Arithmeticae/English Edition'Book summary:English translation of standard mathematical work on theory of numbers, first published in Latin in 1801. "Among the greatest mathematical treatises of all fields and periods."--Asger Aaboe. [via]
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Elementary Methods in Number Theoryby Melvyn B. NathansonISBN 0387989129 (0-387-98912-9)
Hardcover, Springer Verlag
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Elementary Number Theoryby David M. BurtonISBN 0073051888 (0-07-305188-8)
Hardcover, McGraw-Hill Science Engineering
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› Find signed collectible books: 'Elementary Number Theory'Book summary: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]
More editions of Elementary Number Theory:
- Elementary Number Theory: ISBN 0070094632 (0-07-009463-2)
Hardcover, McGraw-Hill College - Elementary Number Theory: ISBN 0070094667 (0-07-009466-7)
Hardcover, McGraw-Hill College - Elementary Number Theory: ISBN 0072325690 (0-07-232569-0)
Hardcover, McGraw-Hill College - Elementary Number Theory: ISBN 0205048145 (0-205-04814-5)
Hardcover, Allyn and Bacon - Elementary Number Theory: ISBN 0073051888 (0-07-305188-8)
Hardcover, McGraw-Hill Science Engineering
- Elementary Number Theory: ISBN 0070094632 (0-07-009463-2)
Encounter With Mathematicsby Lars GardingISBN 0387902295 (0-387-90229-5)
Hardcover, Springer-Verlag
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Fermat's Last Theorem for Amateursby Paulo RibenboimISBN 0387985085 (0-387-98508-5)
Hardcover, Springer Verlag
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Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problemby Amir D. AczelISBN 0385319460 (0-385-31946-0)
Softcover, Bantam Dell Pub Group
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Flatlandby Edwin Abbott AbbottISBN 0064635732 (0-06-463573-2)
Softcover, Barnes & Noble
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› Find signed collectible books: 'Flatland'Book summary:"Imagine a vast sheet of paper on which Lines, Triangles, Squares, Pentagons, Hexagons, and other figures, instead of remaining fixed in their places, move freely about, on or in the surface, but without the power of rising above or sinking below it & and you will have a pretty correct notion of my country and countrymen."[via]Narrated by A. Square, Flatland is Edwin A. Abbott's delightful mathematical fantasy about life in a two-dimensional world. All existence is limited to length and breadth in Flatland, its inhabitants unable even to imagine a third dimension. Abbott's amiable narrator provides an overview of this fantastic world-its physics and metaphysics, its history, customs, and religious beliefs. But when a strange visitor mysteriously appears and transports the incredulous Flatlander to the Land of Three Dimensions, his worldview is forever shattered.
Written more than a century ago, Flatland conceals within its brilliant parody of Victorian society speculations about the universe that resonate in Einstein's theory of relativity as well as the current "string-theory" of nature.
More editions of Flatland:
- Flatland: ISBN 014043531X (0-14-043531-X)
Softcover, Penguin Group USA - Flatland: ISBN 0192805983 (0-19-280598-3)
Softcover, Oxford Univ Pr - Flatland: ISBN 0451529766 (0-451-52976-6)
Softcover, Signet Classic - Flatland: ISBN 048627263X (0-486-27263-X)
Softcover, Dover Pubns - Flatland: ISBN 0064632105 (0-06-463210-5)
Softcover, Barnes & Noble Imports - Flatland: ISBN 0140076158 (0-14-007615-8)
Softcover, Penguin USA - Flatland: A Romance of Many Dimensions: ISBN 0451518411 (0-451-51841-1)
Softcover, Signet Classic - Flatland: ISBN 0451522907 (0-451-52290-7)
Softcover, New Amer Library Classics - Flatland: ISBN 0064800059 (0-06-480005-9)
Hardcover, Barnes & Noble Imports - Flatland: ISBN 0389015318 (0-389-01531-8)
Hardcover, Dover Pubns - Flatland: ISBN 0064635732 (0-06-463573-2)
Softcover, Barnes & Noble
- Flatland: ISBN 014043531X (0-14-043531-X)
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Flatland: A Journey of Many Dimensionsby Edwin A. Abbott, Dionys BurgerISBN 0062732765 (0-06-273276-5)
Softcover, Harper Resource
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› Find signed collectible books: 'Flatland: A Journey of Many Dimensions'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]
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Formal Number Theory and Computabilityby Alec FisherISBN 0198531885 (0-19-853188-5)
Softcover, Oxford Univ Pr
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Formal Number Theory and Computability : A Workbookby Alec FisherISBN 0198531788 (0-19-853178-8)
Hardcover, Oxford University Press
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A Friendly Introduction To Number Theoryby Joseph H. SilvermanISBN 0131861379 (0-13-186137-9)
Hardcover, Prentice Hall
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› Find signed collectible books: 'A Friendly Introduction To Number Theory'Book summary:Starting with nothing more than basic high school algebra, this volume leads readers gradually from basic algebra to the point of actively performing mathematical research while getting a glimpse of current mathematical frontiers. Features an informal writing style and includes many numerical examples. Emphasizes the methods used for proving theorems rather than specific results. Includes a new chapter on big-oh notation and how it is used to describe the growth rate of number theoretic functions and to describe the complexity of algorithms. Provides a new chapter that introduces the theory of continued fractions. Includes a new chapter on "continued fractions, square roots and pell's equation." contains additional historical material, including material on pell's equation and the chinese remainder theorem. A useful reference for mathematics teachers [via]
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Fundamentals of Mathematicsby H. Behnke, F. Bachmann, K. Fladt, W. SussISBN 0262020483 (0-262-02048-3)
Hardcover, Mit Pr
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The Higher Arithmeticby H. DavenportISBN 0486244520 (0-486-24452-0)
Softcover, Dover Pubns
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A History of Mathematicsby Uta C. Merzbach, Carl B. BoyerISBN 0471543977 (0-471-54397-7)
Softcover, John Wiley & Sons Inc
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The Infinite Book: A Short Guide to the Boundless, Timeless And Endlessby John D. BarrowISBN 0099443724 (0-09-944372-4)
Softcover, Trafalgar Square
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Introduction to Algorithmsby Thomas H. Cormen, Charles E. LeisersonISBN 0262531968 (0-262-53196-8)
Softcover, Mit Pr
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› Find signed collectible books: 'Introduction to Algorithms'Book summary:Aimed at any serious programmer or computer science student, the new second edition of Introduction to Algorithms builds on the tradition of the original with a truly magisterial guide to the world of algorithms. Clearly presented, mathematically rigorous, and yet approachable even for the math-averse, this title sets a high standard for a textbook and reference to the best algorithms for solving a wide range of computing problems.
With sample problems and mathematical proofs demonstrating the correctness of each algorithm, this book is ideal as a textbook for classroom study, but its reach doesn't end there. The authors do a fine job of explaining each algorithm. (Reference sections on basic mathematical notation will help readers bridge the gap, but it will help to have some math background to appreciate the full achievement of this handsome hardcover volume.) Every algorithm is presented in pseudo-code, which can be implemented in any computer language, including C/C++ and Java. This ecumenical approach is one of the book's strengths. When it comes to sorting and common data structures, from basic linked lists to trees (including binary trees, red-black, and B-trees), this title really shines, with clear diagrams that show algorithms in operation. Even if you just glance over the mathematical notation here, you can definitely benefit from this text in other ways.
The book moves forward with more advanced algorithms that implement strategies for solving more complicated problems (including dynamic programming techniques, greedy algorithms, and amortized analysis). Algorithms for graphing problems (used in such real-world business problems as optimizing flight schedules or flow through pipelines) come next. In each case, the authors provide the best from current research in each topic, along with sample solutions.
This text closes with a grab bag of useful algorithms including matrix operations and linear programming, evaluating polynomials, and the well-known Fast Fourier Transformation (FFT) (useful in signal processing and engineering). Final sections on "NP-complete" problems, like the well-known traveling salesman problem, show off that while not all problems have a demonstrably final and best answer, algorithms that generate acceptable approximate solutions can still be used to generate useful, real-world answers.
Throughout this text, the authors anchor their discussion of algorithms with current examples drawn from molecular biology (like the Human Genome Project), business, and engineering. Each section ends with short discussions of related historical material, often discussing original research in each area of algorithms. On the whole, they argue successfully that algorithms are a "technology" just like hardware and software that can be used to write better software that does more, with better performance. Along with classic books on algorithms (like Donald Knuth's three-volume set, The Art of Computer Programming), this title sets a new standard for compiling the best research in algorithms. For any experienced developer, regardless of their chosen language, this text deserves a close look for extending the range and performance of real-world software. --Richard Dragan
Topics covered: Overview of algorithms (including algorithms as a technology); designing and analyzing algorithms; asymptotic notation; recurrences and recursion; probabilistic analysis and randomized algorithms; heapsort algorithms; priority queues; quicksort algorithms; linear time sorting (including radix and bucket sort); medians and order statistics (including minimum and maximum); introduction to data structures (stacks, queues, linked lists, and rooted trees); hash tables (including hash functions); binary search trees; red-black trees; augmenting data structures for custom applications; dynamic programming explained (including assembly-line scheduling, matrix-chain multiplication, and optimal binary search trees); greedy algorithms (including Huffman codes and task-scheduling problems); amortized analysis (the accounting and potential methods); advanced data structures (including B-trees, binomial and Fibonacci heaps, representing disjoint sets in data structures); graph algorithms (representing graphs, minimum spanning trees, single-source shortest paths, all-pairs shortest paths, and maximum flow algorithms); sorting networks; matrix operations; linear programming (standard and slack forms); polynomials and the Fast Fourier Transformation (FFT); number theoretic algorithms (including greatest common divisor, modular arithmetic, the Chinese remainder theorem, RSA public-key encryption, primality testing, integer factorization); string matching; computational geometry (including finding the convex hull); NP-completeness (including sample real-world NP-complete problems and their insolvability); approximation algorithms for NP-complete problems (including the traveling salesman problem); reference sections for summations and other mathematical notation, sets, relations, functions, graphs and trees, as well as counting and probability backgrounder (plus geometric and binomial distributions). [via]
More editions of Introduction to Algorithms:
- Introduction to Algorithms: ISBN 0070131511 (0-07-013151-1)
Hardcover, McGraw-Hill Science Engineering - Introduction to Algorithms: ISBN 0262032937 (0-262-03293-7)
Hardcover, Mit Pr - Introduction to Algorithms: ISBN 0262530910 (0-262-53091-0)
Softcover, Mit Pr - Introduction to Algorithms: ISBN 0070131430 (0-07-013143-0)
Hardcover, McGraw-Hill College - Introduction to Algorithms: ISBN 0262031418 (0-262-03141-8)
Hardcover, Mit Pr - Introduction to Algorithms: ISBN 0262531968 (0-262-53196-8)
Softcover, Mit Pr
- Introduction to Algorithms: ISBN 0070131511 (0-07-013151-1)
Introduction to Cyclotomic Fieldsby Lawrence C. WashingtonISBN 0387947620 (0-387-94762-0)
Hardcover, Springer
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Introduction to Number Theoryby Loo-Keng HuaISBN 0387108181 (0-387-10818-1)
Hardcover, Springer Verlag
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Introduction to the Theory of Error-Correcting Codesby Vera PlessISBN 0471086843 (0-471-08684-3)
Hardcover, Wiley
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› Find signed collectible books: 'Introduction to the Theory of Error-Correcting Codes'Book summary:A complete introduction to the many mathematical tools used to solve practical problems in coding.
Mathematicians have been fascinated with the theory of error-correcting codes since the publication of Shannon's classic papers fifty years ago. With the proliferation of communications systems, computers, and digital audio devices that employ error-correcting codes, the theory has taken on practical importance in the solution of coding problems. This solution process requires the use of a wide variety of mathematical tools and an understanding of how to find mathematical techniques to solve applied problems.
Introduction to the Theory of Error-Correcting Codes, Third Edition demonstrates this process and prepares students to cope with coding problems. Like its predecessor, which was awarded a three-star rating by the Mathematical Association of America, this updated and expanded edition gives readers a firm grasp of the timeless fundamentals of coding as well as the latest theoretical advances. This new edition features:
* A greater emphasis on nonlinear binary codes
* An exciting new discussion on the relationship between codes and combinatorial games
* Updated and expanded sections on the Vashamov-Gilbert bound, van Lint-Wilson bound, BCH codes, and Reed-Muller codes
* Expanded and updated problem sets.
Introduction to the Theory of Error-Correcting Codes, Third Edition is the ideal textbook for senior-undergraduate and first-year graduate courses on error-correcting codes in mathematics, computer science, and electrical engineering. [via]More editions of Introduction to the Theory of Error-Correcting Codes:
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Invitation to the Mathematics of Fermat-Wilesby Yves HellegouarchISBN 0123392519 (0-12-339251-9)
Hardcover, Academic Pr
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› Find signed collectible books: 'Invitation to the Mathematics of Fermat-Wiles'Book summary:Assuming only modest knowledge of undergraduate level math, Invitation to the Mathematics of Fermat-Wiles presents diverse concepts required to comprehend Wiles' extraordinary proof. Furthermore, it places these concepts in their historical context.
This book can be used in introduction to mathematics theories courses and in special topics courses on Fermat's last theorem. It contains themes suitable for development by students as an introduction to personal research as well as numerous exercises and problems. However, the book will also appeal to the inquiring and mathematically informed reader intrigued by the unraveling of this fascinating puzzle.
Key Features
* Rigorously presents the concepts required to understand Wiles' proof, assuming only modest undergraduate level math
* Sets the math in its historical context
* Contains several themes that could be further developed by student research and numerous exercises and problems
* Written by Yves Hellegouarch, who himself made an important contribution to the proof of Fermat's last theorem
* Written by Yves Hellegouarch, who himself made an important contribution to the proof of Fermat's last theorem. [via]More editions of Invitation to the Mathematics of Fermat-Wiles:
Mathematical Circusby Martin GardnerISBN 0394747127 (0-394-74712-7)
Softcover, Vintage Books
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The Mathematical Experienceby Philip J. Davis, Reuben HershISBN 0395929687 (0-395-92968-7)
Softcover, Houghton Mifflin
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- The Mathematical Experience: ISBN 0140224564 (0-14-022456-4)
Softcover, Penguin USA - The Mathematical Experience: ISBN 039532131X (0-395-32131-X)
Softcover, Houghton Mifflin - The Mathematical Experience: ISBN 0395321573 (0-395-32157-3)
Hardcover, Houghton Mifflin - The Mathematical Experience: ISBN 0395929687 (0-395-92968-7)
Softcover, Houghton Mifflin
- The Mathematical Experience: ISBN 0140224564 (0-14-022456-4)
Mathematical Traveler : Exploring the Grand History of Numbersby Calvin C. ClawsonISBN 0306446456 (0-306-44645-6)
Hardcover, HarperCollins Canada, Limited
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Multiplicative Number Theoryby Harold DavenportISBN 0387905332 (0-387-90533-2)
Hardcover, Springer Verlag
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Multiplicative Number Theoryby Hugh L. Montgomery, Harold Davenport, F.W. Gehring, S. Axler, K. A. RibetISBN 0387950974 (0-387-95097-4)
Hardcover, Springer Verlag
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› Find signed collectible books: 'Multiplicative Number Theory'Book summary:The new edition of this thorough examination of the distribution of prime numbers in arithmetic progressions offers many revisions and corrections as well as a new section recounting recent works in the field. The book covers many classical results, including the Dirichlet theorem on the existence of prime numbers in arithmetical progressions and the theorem of Siegel. It also presents a simplified, improved version of the large sieve method. [via]
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The New Book of Prime Number Recordsby Paulo RibenboimISBN 0387944575 (0-387-94457-5)
Hardcover, Springer Verlag
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Notes on Fermat's Last Theoremby Alf Van Der PoortenISBN 0471062618 (0-471-06261-8)
Hardcover, Wiley-Interscience
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Number Fieldsby D.A. MarcusISBN 0387902791 (0-387-90279-1)
Softcover, Springer Verlag
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Number: The Language Of Science, The Masterpiece Science Editionby Tobias Dantzig, Joseph Mazur, Barry MazurISBN 0131856278 (0-13-185627-8)
Hardcover, Penguin Group USA
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› Find signed collectible books: 'Number: The Language Of Science, The Masterpiece Science Edition'Book summary:Number is an eloquent, accessible tour de force that reveals how the concept of number evolved from prehistoric times through the twentieth century. Tobias Dantzig shows that the development of mathfrom the invention of counting to the discovery of infinityis a profoundly human story that progressed by trying and erring, by groping and stumbling. He shows how commerce, war, and religion led to advances in math, and he recounts the stories of individuals whose breakthroughs expanded the concept of number and created the mathematics that we know today.[via]More editions of Number: The Language Of Science, The Masterpiece Science Edition:
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Numbersby Heinz-Dieter Ebbinghaus, John H. EwingISBN 0387974970 (0-387-97497-0)
Softcover, Springer Verlag
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› Find signed collectible books: 'Numbers'Book summary:This book is about all kinds of numbers, from rationals to octonians, reals to infinitesimals. It is a story about a major thread of mathematics over thousands of years, and it answers everything from why Hamilton was obsessed with quaternions to what the prospect was for quaternionic analysis in the 19th century. It glimpses the mystery surrounding imaginary numbers in the 17th century and views some major developments of the 20th century. [via]
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One Two Three...Infinity: Facts and Speculations of Scienceby George GamowISBN 0486256642 (0-486-25664-2)
Softcover, Dover Pubns
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P-Adic Numbers, P-Adic Analysis and Zeta Functionsby Neal KoblitzISBN 0387960171 (0-387-96017-1)
Hardcover, Springer London, Limited
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› Find signed collectible books: 'P-Adic Numbers, P-Adic Analysis and Zeta Functions'Book summary:The first edition of this work has become the standard introduction to the theory of p-adic numbers at both the advanced undergraduate and beginning graduate level. This second edition includes a deeper treatment of p-adic functions in Ch. 4 to include the Iwasawa logarithm and the p-adic gamma-function, the rearrangement and addition of some exercises, the inclusion of an extensive appendix of answers and hints to the exercises, as well as numerous clarifications. [via]
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Pi and the Agm: A Study in Analytic Number Theory and Computational Complexityby Jonathan M. Borwein, Peter B. BorweinISBN 0471831387 (0-471-83138-7)
Hardcover, John Wiley & Sons Inc
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Prime Numbers: A Computational Perspectiveby Richard Crandall, Carl PomeranceISBN 0387252827 (0-387-25282-7)
Hardcover, Springer Verlag
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Prime Numbers: The Most Mysterious Figures In Mathby D. G. WellsISBN 0471462349 (0-471-46234-9)
Hardcover, John Wiley & Sons Inc
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› Find signed collectible books: 'Prime Numbers: The Most Mysterious Figures In Math'Book summary:A fascinating journey into the mind-bending world of prime numbers
Cicadas of the genus Magicicada appear once every 7, 13, or 17 years. Is it just a coincidence that these are all prime numbers? How do twin primes differ from cousin primes, and what on earth (or in the mind of a mathematician) could be sexy about prime numbers? What did Albert Wilansky find so fascinating about his brother-in-law's phone number?
Mathematicians have been asking questions about prime numbers for more than twenty-five centuries, and every answer seems to generate a new rash of questions. In Prime Numbers: The Most Mysterious Figures in Math, you'll meet the world's most gifted mathematicians, from Pythagoras and Euclid to Fermat, Gauss, and Erd?o?s, and you'll discover a host of unique insights and inventive conjectures that have both enlarged our understanding and deepened the mystique of prime numbers. This comprehensive, A-to-Z guide covers everything you ever wanted to know--and much more that you never suspected--about prime numbers, including:
* The unproven Riemann hypothesis and the power of the zeta function
* The "Primes is in P" algorithm
* The sieve of Eratosthenes of Cyrene
* Fermat and Fibonacci numbers
* The Great Internet Mersenne Prime Search
* And much, much more [via]More editions of Prime Numbers: The Most Mysterious Figures In Math:
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Prisoner's Dilemma: John Von Neumann, Game Theory and the Puzzle of the Bombby William PoundstoneISBN 038541580X (0-385-41580-X)
Softcover, Random House Inc
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Realm of Numbersby Isaac AsimovISBN 0449243990 (0-449-24399-0)
Softcover, Ballantine Books
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Recursive Functions in Computer Theoryby Rozsa PeterISBN 0470271957 (0-470-27195-7)
Hardcover, John Wiley & Sons Inc
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The Riemann Hypothesis: The Greatest Unsolved Problem in Mathematicsby Karl SabbaghISBN 0374529353 (0-374-52935-3)
Softcover, Farrar Straus & Giroux
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› Find signed collectible books: 'The Riemann Hypothesis: The Greatest Unsolved Problem in Mathematics'Book summary:Since 1859, when the shy German mathematician Bernhard Riemann wrote an eight-page article giving a possible answer to a problem that had tormented mathematical minds for centuries, the world's greatest mathematicians have been fascinated, infuriated, and obsessed with proving the Riemann hypothesis. They speak of it in awed terms and consider it to be an even more difficult problem than Fermat's last theorem, which was finally proven by Andrew Wiles in 1995.[via]
In The Riemann Hypothesis, acclaimed author Karl Sabbagh interviews some of the world's finest mathematicians who have spent their lives working on the problem--and whose approaches to meeting the challenges thrown up by the hypothesis are as diverse as their personalities.
Wryly humorous, lively, accessible and comprehensive, The Riemann Hypothesis is a compelling exploration of the people who do math and the ideas that motivate them to the brink of obsession--and a profound meditation on the ultimate meaning of mathematics.More editions of The Riemann Hypothesis: The Greatest Unsolved Problem in Mathematics:
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Stalking the Riemann Hypothesis: The Quest To Find hte Hidden Law Of Prime Numbersby DAN ROCKMOREISBN 0375727728 (0-375-72772-8)
Softcover, Random House Inc
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› Find signed collectible books: 'Stalking the Riemann Hypothesis: The Quest To Find hte Hidden Law Of Prime Numbers'Book summary:For 150 years the Riemann hypothesis has been the holy grail of mathematics. Now, at a moment when mathematicians are finally moving in on a proof, Dartmouth professor Dan Rockmore tells the riveting history of the hunt for a solution.In 1859 German professor Bernhard Riemann postulated a law capable of describing with an amazing degree of accuracy the occurrence of the prime numbers. Rockmore takes us all the way from Euclid to the mysteries of quantum chaos to show how the Riemann hypothesis lies at the very heart of some of the most cutting-edge research going on today in physics and mathematics. [via]
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Stalking The Riemann Hypothesis: The Quest To Find The Hidden Law Of Prime Numbersby Daniel N RockmoreISBN 037542136X (0-375-42136-X)
Hardcover, Random House Inc
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› Find signed collectible books: 'Stalking The Riemann Hypothesis: The Quest To Find The Hidden Law Of Prime Numbers'Book summary:In 1859 a German professor named Bernhard Riemann postulated a law capable of describing with an amazing degree of accuracy the baffling occurrence of prime numbers; coming up with its proof has been the holy grail of mathematicians ever since. In Stalking the Riemann Hypothesis, Dan Rockmore, a prominent mathematician in his own right, takes us from Euclids pondering of the infinitude of the primes through modern efforts to prove the Riemann hypothesisefforts that astonishingly connect the primes to the statistics of solitaire, chaos theory, and even the mysteries of quantum mechanics. Along the way, he introduces us to the many brilliant and fascinating thinkers who have contributed to this work, from the most famous mathematician of all time, Carl Friedrich Gauss (Riemanns teacher), to the intellectual giants David Hilbert and Freeman Dyson.
A lively, comprehensive, and accessible examination of one of the most compelling unsolved problems in mathematics, Stalking the Riemann Hypothesis tells us the full story of the quest to find that elusive solution. [via]More editions of Stalking The Riemann Hypothesis: The Quest To Find The Hidden Law Of Prime Numbers:
The Theory of Algebraic Numbersby Harry Pollard, Harold G. DiamondISBN 0486404544 (0-486-40454-4)
Softcover, Dover Pubns
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The Theory of the Riemann Zeta-Functionby E.C. Titchmarsh, D. R. Heath-BrownISBN 0198533691 (0-19-853369-1)
Softcover, Oxford Univ Pr
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Topics in Number Theoryby William Judson LevequeISBN 0486425398 (0-486-42539-8)
Softcover, Dover Pubns
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What Is Mathematicsby Richard Courant, Herbert RobbinsISBN 0195025172 (0-19-502517-2)
Softcover, Oxford Univ Pr
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What Is Mathematics?: An Elementary Approach to Ideas and Methodsby Ian Stewart, Richard Courant, Herbert RobbinsISBN 0195105192 (0-19-510519-2)
Softcover, Oxford Univ Pr
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› Find signed collectible books: 'What Is Mathematics?: An Elementary Approach to Ideas and Methods'Book summary:A 1996 revision of a timeless classic originally published in 1941. Highly recommended for any serious student, teacher or scholar of mathematics. [via]
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