Elementary Number Theory by David Burton (English) Hardcover Book

Description: Elementary Number Theory by David Burton Suitable for the one-semester undergraduate number theory course taken by math majors, secondary education majors, and computer science students, this text provides a simple account of classical number theory, set against a historical background that shows the subjects evolution since antiquity. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description Elementary Number Theory, Seventh 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 subjects evolution from antiquity to recent research. Written in David Burtons engaging style, Elementary Number Theory reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history. Table of Contents Elementary Number Theory, 7e, by David M. Burton Table of Contents Preface New to this Edition 1Preliminaries 1.1Mathematical Induction 1.2The Binomial Theorem 2Divisibility Theory in the Integers 2.1Early Number Theory 2.2The Division Algorithm 2.3The Greatest Common Divisor 2.4The Euclidean Algorithm 2.5The Diophantine Equation 3Primes and Their Distribution 3.1The Fundamental Theorem of Arithmetic 3.2The Sieve of Eratosthenes 3.3The Goldbach Conjecture 4The Theory of Congruences 4.1Carl Friedrich Gauss 4.2Basic Properties of Congruence 4.3Binary and Decimal Representations of Integers 4.4Linear Congruences and the Chinese Remainder Theorem 5Fermats Theorem 5.1Pierre de Fermat 5.2Fermats Little Theorem and Pseudoprimes 5.3Wilsons Theorem 5.4The Fermat-Kraitchik Factorization Method 6Number-Theoretic Functions 6.1The Sum and Number of Divisors 6.2 The Möbius Inversion Formula 6.3The Greatest Integer Function 6.4An Application to the Calendar 7Eulers Generalization of Fermats Theorem 7.1Leonhard Euler 7.2Eulers Phi-Function 7.3Eulers Theorem 7.4Some Properties of the Phi-Function 8Primitive Roots and Indices 8.1The Order of an Integer Modulo n 8.2Primitive Roots for Primes 8.3Composite Numbers Having Primitive Roots 8.4The Theory of Indices 9The Quadratic Reciprocity Law 9.1Eulers Criterion 9.2The Legendre Symbol and Its Properties 9.3Quadratic Reciprocity 9.4Quadratic Congruences with Composite Moduli 10Introduction to Cryptography 10.1From Caesar Cipher to Public Key Cryptography 10.2The Knapsack Cryptosystem 10.3An Application of Primitive Roots to Cryptography 11Numbers of Special Form 11.1Marin Mersenne 11.2Perfect Numbers 11.3Mersenne Primes and Amicable Numbers 11.4Fermat Numbers 12Certain Nonlinear Diophantine Equations 12.1The Equation 12.2Fermats Last Theorem 13Representation of Integers as Sums of Squares 13.1Joseph Louis Lagrange 13.2Sums of Two Squares 13.3Sums of More Than Two Squares 14Fibonacci Numbers 14.1Fibonacci 14.2The Fibonacci Sequence 14.3Certain Identities Involving Fibonacci Numbers 15Continued Fractions 15.1Srinivasa Ramanujan 15.2Finite Continued Fractions 15.3Infinite Continued Fractions 15.4Farey Fractions 15.5Pells Equation 16Some Recent Developments 16.1Hardy, Dickson, and Erdös 16.2Primality Testing and Factorization 16.3An Application to Factoring: Remote Coin Flipping 16.4The Prime Number Theorem and Zeta Function Miscellaneous Problems Appendixes General References Suggested Further Reading Tables Answers to Selected Problems Index Details ISBN0073383147 Pages 448 Publisher McGraw-Hill Education - Europe Year 2010 Edition 7th ISBN-10 0073383147 ISBN-13 9780073383149 Format Hardcover Place of Publication London Country of Publication United States DEWEY 512.72 Short Title ELEM NUMBER THEORY 7/E Language English Media Book Series Higher Math Author David Burton UK Release Date 2010-02-16 Publication Date 2010-02-16 AU Release Date 2010-02-16 NZ Release Date 2010-02-16 US Release Date 2010-02-16 Imprint McGraw Hill Higher Education Edition Description 7th edition Audience Tertiary & Higher Education Replaces 9780073051888 Illustrations 9 Illustrations We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:138168733;

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