An edition of Theory of Numbers (2008)

Theory of Numbers

1st ed.
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Last edited by ImportBot
September 21, 2024 | History
An edition of Theory of Numbers (2008)

Theory of Numbers

1st ed.
  • 1 Currently reading

Theory of Numbers is a carefully written textbook for an elementary number theory course with minimal prerequisites. It begins with the classical theory of divisibility, primes, and modular arithmetic; and ends with computational topics of factorization, pseudoprimes, and primality testing. Ideal for self-study or for a one-semester course, the relatively small, measured contents include numerous exercises strategically dispersed throughout the text in order to retain theoretical context and reinforce understanding. As an extended workout, every chapter concludes with a partially guided project touching on a wide range of problems, from the old sums-of-squares theorems to the more recent cryptographical protocols.

Publish Date
Publisher
BookSurge
Language
English
Pages
136

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Edition Availability
Cover of: Theory of Numbers
Theory of Numbers
2008, BookSurge
in English - 1st ed.

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Book Details


Table of Contents

1. Divisibility
Page 1
2. Prime Numbers
Page 12
3. Modular Arithmetic
Page 21
4. Exponentiation
Page 31
5. Primitive Roots
Page 43
6. Quadratic Residues
Page 52
7. Factorization
Page 63
8. Pseudoprime Composites
Page 74
9. Primality Proving
Page 84
A. Mathematical Induction
Page 96
B. Binomial Coefficients
Page 98
C. Primitive Root Theorem
Page 101
D. Modular Square Roots
Page 103
E. Rabin's Probabilistic Test
Page 108
F. Testing Primes with Lucas Sequences
Page 110
Answers & Hints
Page 115
Primes < 10^4
Page 124
Pseudoprimes < 10^7
Page 127
Bibliography
Page 130
Notation
Page 133
Index
Page 134

Edition Notes

Includes bibliographical references (p. 130-132) and index.

Published in
North Charleston, SC

Classifications

Library of Congress
QA241 .W635 2008

The Physical Object

Pagination
viii, 136 p. :
Number of pages
136

Edition Identifiers

Open Library
OL17064587M
ISBN 10
1419687352
LCCN
2008900232
OCLC/WorldCat
242623927

Work Identifiers

Work ID
OL12033238W

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Download catalog record: RDF / JSON / OPDS | Wikipedia citation
September 21, 2024 Edited by ImportBot import existing book
December 22, 2020 Edited by MARC Bot import existing book
April 29, 2011 Edited by OCLC Bot Added OCLC numbers.
April 13, 2010 Edited by Open Library Bot Linked existing covers to the edition.
September 27, 2008 Created by ImportBot Imported from Library of Congress MARC record