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E: The Story of a Number
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Eli Maor
The story of pi has been told many times, both in scholarly works and in popular books. But its close relative, the number e, has fared less well. Despite the central role it plays in mathematics, its history has never before been written for a general audience. The present work fills this gap. Geared to the reader with only a modest background in ...
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A Beginner's Guide to Constructing the Universe: The Mathematical Archetypes of Nature, Art, and Science
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Michael S Schneider
An imaginative tour of the numbers one through ten that illustrates how they consistently recur in everything from nature, technology, art, and science to mythology and the unconscious in archetypal patterns and principles. Richly illustrated with computer graphics and classical art.
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Elementary Number Theory and Its Applications
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Kenneth H Rosen
The fourth edition of Kenneth Rosen's widely used and successful text, Elementary Number Theory and Its Applications, preserves the strengths of the previous editions, while enhancing the book's flexibility and depth of content coverage. The blending of classical theory with modern applications is a hallmark feature of the text. The Fourth ...
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Number Theory
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George E Andrews
Undergraduate text uses combinatorial approach to accommodate both math majors and liberal arts students. Covers the basics of number theory, offers an outstanding introduction to partitions, plus chapters on multiplicativity-divisibility, quadratic congruences, additivity, and more
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Mathematical Theory of Communication
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Claude E Shannon, Warren Weaver
Scientific knowledge grows at a phenomenal pace-but few books have had as lasting an impact or played as important a role in our modern world as "The Mathematical Theory of Communication", published originally as a paper on communication theory in the "Bell System Technical Journal" more than fifty years ago. Republished in book form shortly ...
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Not Even Wrong: The Failure of String Theory and the Search for Unity in Physical Law
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Peter Woit
When does physics depart the realm of testable hypothesis and come to resemble theology? Peter Woit argues that string theory isnt just going in the wrong direction, its not even science. Not Even Wrong shows that what many physicists call superstring theory is not a theory at all. It makes no predictions, not even wrong ones, and this very lack ...
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Elementary number theory
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David M Burton
"Elementary Number Theory, Sixth Edition", is written for the one-semester undergraduate number theory course taken by math majors, secondary education majors, and computer science students. This contemporary text provides a simple account of classical number theory, set against a historical background that shows the subject's evolution from ...
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Elementary Number Theory
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Gareth A Jones, Josephine M Jones, J M Tyrer-Jones
This book gives an undergraduate-level introduction to Number Theory, with the emphasis on fully explained proofs and examples; exercises (with solutions) are integrated into the text. The first few chapters, covering divisibility, prime numbers and modular arithmetic, assume only basic school algebra, and are therefore suitable for first or ...
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The Higher Arithmetic: An Introduction to the Theory of Numbers
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Harold Davenport
The theory of numbers is generally considered to be the 'purest' branch of pure mathematics and demands exactness of thought and exposition from its devotees. It is also one of the most highly active and engaging areas of mathematics. Now into its eighth edition The Higher Arithmetic introduces the concepts and theorems of number theory in a way ...
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An Introduction to the Theory of Numbers
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by
Ivan Morton Niven
This undergraduate textbook describes the computational aspects of number theory, such as techniques of factoring. Problems of varying difficulty are used throughout the text to aid comprehension.
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A Friendly Introduction to Number Theory
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by
Joseph Silverman
For courses in Elementary Number Theory for non-math majors, for mathematics education students, and for Computer Science students. This is an introductory undergraduate text designed to entice non-math majors into learning some mathematics, while teaching them to think mathematically at the same time. Starting with nothing more than basic high ...
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Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem
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by
Amir D Aczel, PhD
In 1995, a Princeton-based mathematician showed up at a scientific conference and dropped a bombshell. He had succeeded in deciphering one of mathematics' great secrets, one that thousands had puzzled over for many centuries: he had proven Fermat's Last Theorem in a 200 page paper. This is the story of the people, the history, and the cultures ...
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A First Course in Abstract Algebra
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by
Joseph J Rotman
For one-semester or two-semester undergraduate courses in Abstract Algebra.This new edition has been completely rewritten. The four chapters from the first edition are expanded, from 257 pages in first edition to 384 in the second. Two new chapters have been added: the first 3 chapters are a text for a one-semester course; the last 3 chapters are ...
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Number Properties GMAT Preparation Guide
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by
Manhattan GMAT Prep (Creator)
Number Properties (1 of the 8 books in Manhattan GMAT's Preparation Guide series) provides a highly organized and structured approach to the variety of questions in this quantitative content area. Students are presented with a comprehensive analysis of the properties and rules of integers tested on the GMAT--everything from prime products to ...
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Dr Euler's Fabulous Formula: Cures Many Mathematical Ills
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Paul J Nahin
'I used to think math was no fun 'cause I couldn't see how it was done. Now Euler's my hero. For, I now see why zero equals e[pi] i+1' - Paul Nahin, electrical engineer. In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even ...
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Beginning number theory
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by
Neville Robbins
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The Riemann Hypothesis: The Greatest Unsolved Problem in Mathematics
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by
Karl Sabbagh
An engaging, informative, and wryly humorous exploration of one of the great conundrums of all time In 1859 Bernhard Riemann, a shy German mathematician, wrote an eight-page article giving an answer to a problem that had long puzzled mathematicians. But he didn't provide a proof. In fact, he said he couldn't prove it but he thought that his ...
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Contributions to the Founding of the Theory of Transfinite Numbers
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by
Georg Cantor
The famous articles, 1895-7, that founded a new branch of mathematics. Covers addition, multiplication and exponentiation of cardinal numbers, smallest transfinite cardinal numbers, ordinal types of simple ordered aggregates, more. Translated with introduction by P. Jourdain.
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An Introduction to the Theory of Numbers
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by
G H Hardy, E M Wright
An Introduction to the Theory of Numbers by G.H. Hardy and E. M. Wright is found on the reading list of virtually all elementary number theory courses and is widely regarded as the primary and classic text in elementary number theory. Developed under the guidance of D.R. Heath-Brown this Sixth Edition of An Introduction to the Theory of Numbers ...
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Number. the Language of Science
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Tobias Dantzig
"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 mathafrom the invention of counting to the discovery of infinityais a profoundly human story that progressed by atrying and erring, by groping and ...
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Modular Forms and Fermat's Last Theorem
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by
Gary Cornell (Editor), Glenn Stevens (Editor), Joseph H Silverman (Editor)
This volume contains expanded versions of lectures given at an instructional conference on number theory and arithmetic geometry held August 9 through 18, 1995 at Boston University. The purpose of the conference, and of this book, is to introduce and explain the many ideas and techniques used by Wiles in his proof that every (semi- stable) ...
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Mathematical Mysteries: The Beauty and Magic of Numbers
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by
Calvin C Clawson
Why seemingly unrelated mathematical truths are connected in simple and beautiful equations continues to stump even mathematicians. This recreational math book takes the reader on a fantastic voyage into the world of natural numbers. From the earliest discoveries of the ancient Greeks to various fundamental characteristics of the natural number ...
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The Book of Numbers: The Secret of Numbers and How They Changed the World
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by
Peter J Bentley, PhD
Well illustrated with photos, diagrams and digital imagery, this is enthusiastic and intriguing chronicle searches for the meaning of numbers and explores puzzling aspects of the mathematical world, and the people who made it.
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Elementary Number Theory in Nine Chapters
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by
James J Tattersall
This textbook is intended to serve as a one-semester introductory course in number theory and in this second edition it has been revised throughout and many new exercises have been added. Historical perspective is included and emphasis is given to some of the subject's applied aspects; in particular the field of cryptography is highlighted. At the ...
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The Fabulous Fibonacci Numbers
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by
Dr. Alfred S Posamentier, Ingmar Lehmann
The most ubiquitous, and perhaps the most intriguing, number pattern in mathematics is the Fibonacci sequence. In this simple pattern beginning with two ones, each succeeding number is the sum of the two numbers immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). Far from being just a curiosity, this sequence recurs in structures ...
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