A friendly introduction to number theory

A friendly introduction to number theory

by Silverman, Joseph H.

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Title Statements

  • Full title :A friendly introduction to number theory / Joseph H. Silverman.

Edition Statements

  • Publication Date:©2014
  • Edition:Fourth edition

Publication Statements

  • Publisher(s):Pearson
  • Place of Publication:Noida
  • Language:eng
  • Publication Date:©2014

The Physical Object

  • Description:460 pages : : illustrations ; : 24 cm

Edition Identifiers

  • ISBN:0321816196, 9780321816191, 9789332535237, 933253523X
  • oclc:on1052832132
  • LC Classification:QA241
  • Dewey Decimal:512.7

Table of Contents

1What Is Number Theory?6 -- 2Pythagorean Triples13 -- 3Pythagorean Triples and the Unit Circle21 -- 4Sums of Higher Powers and Fermat's Last Theorem26 -- 5Divisibility and the Greatest Common Divisor30 -- 6Linear Equations and the Greatest Common Divisor37 -- 7Factorization and the Fundamental Theorem of Arithmetic46 -- 8Congruences55 -- 9Congruences, Powers, and Fermat's Little Theorem65 -- 10Congruences, Powers, and Euler's Formula71 -- 11Euler's Phi Function and the Chinese Remainder Theorem75 -- 12Prime Numbers83 -- 13Counting Primes90 -- 14Mersenne Primes96 -- 15Mersenne Primes and Perfect Numbers101 -- 16Powers Modulo m and Successive Squaring111 -- 17Computing k<sup>th</sup> Roots Modulo m118 -- 18Powers, Roots, and "Unbreakable" Codes123 -- 19Primality Testing and Carmichael Numbers129 -- 20Squares Modulo p141 -- 21^Is-1 a Square Modulo p? Is 2?148 -- 22Quadratic Reciprocity159 -- 23Proof of Quadratic Reciprocity171 -- 24Which Primes Are Sums of Two Squares?181 -- 25Which Numbers Are Sums of Two Squares?193 -- 26As Easy as One, Two, Three199 -- 27Euler's Phi Function and Sums of Divisors206 -- 28Powers Modulo p and Primitive Roots211 -- 29Primitive Roots and Indices224 -- …

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Subjects

Number theory Number theory -- Textbooks Textbooks

Writers

Silverman, Joseph H.

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