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Elementary Number Theory by Kenneth Rosen Hardcover Fifth Edition
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Ubicado en: Lancaster, California, Estados Unidos
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N.º de artículo de eBay:187196409357
Última actualización el 07 jun 2025 16:58:22 H.EspVer todas las actualizacionesVer todas las actualizaciones
Características del artículo
- Estado
- ISBN
- 9780321237071
Acerca de este producto
Product Identifiers
Publisher
Addison-Wesley Longman, Incorporated
ISBN-10
0321237072
ISBN-13
9780321237071
eBay Product ID (ePID)
43117423
Product Key Features
Number of Pages
744 Pages
Publication Name
Elementary Number Theory and Its Applications
Language
English
Publication Year
2004
Subject
Number Theory
Features
Revised
Type
Textbook
Subject Area
Mathematics
Series
Alternative Etext Formats Ser.
Format
Trade Paperback
Dimensions
Item Height
0.5 in
Item Weight
42.3 Oz
Item Length
9.3 in
Item Width
7 in
Additional Product Features
Edition Number
5
Intended Audience
College Audience
LCCN
2004-057054
Illustrated
Yes
Edition Description
Revised edition
Table Of Content
P. What is Number Theory? 1. The Integers. Numbers and Sequences. Sums and Products. Mathematical Induction. The Fibonacci Numbers. 2. Integer Representations and Operations. Representations of Integers. Computer Operations with Integers. Complexity of Integer Operations. 3. Primes and Greatest Common Divisors. Prime Numbers. The Distribution of Primes. Greatest Common Divisors. The Euclidean Algorithm. The Fundemental Theorem of Arithmetic. Factorization Methods and Fermat Numbers. Linear Diophantine Equations. 4. Congruences. Introduction to Congruences. Linear Congrences. The Chinese Remainder Theorem. Solving Polynomial Congruences. Systems of Linear Congruences. Factoring Using the Pollard Rho Method. 5. Applications of Congruences. Divisibility Tests. The perpetual Calendar. Round Robin Tournaments. Hashing Functions. Check Digits. 6. Some Special Congruences. Wilson's Theorem and Fermat's Little Theorem. Pseudoprimes. Euler's Theorem. 7. Multiplicative Functions. The Euler Phi-Function. The Sum and Number of Divisors. Perfect Numbers and Mersenne Primes. Mobius Inversion. 8. Cryptology. Character Ciphers. Block and Stream Ciphers. Exponentiation Ciphers. Knapsack Ciphers. Cryptographic Protocols and Applications. 9. Primitive Roots. The Order of an Integer and Primitive Roots. Primitive Roots for Primes. The Existence of Primitive Roots. Index Arithmetic. Primality Tests Using Orders of Integers and Primitive Roots. <div STYLE="margin-left: 0
Synopsis
Elementary Number Theory and Its Applications is noted for its outstanding exercise sets, including basic exercises, exercises designed to help students explore key concepts, and challenging exercises. Computational exercises and computer projects are also provided. In addition to years of use and professor feedback, the fifth edition of this text has been thoroughly checked to ensure the quality and accuracy of the mathematical content and the exercises. The blending of classical theory with modern applications is a hallmark feature of the text. The Fifth Edition builds on this strength with new examples and exercises, additional applications and increased cryptology coverage. The author devotes a great deal of attention to making this new edition up-to-date, incorporating new results and discoveries in number theory made in the past few years.
LC Classification Number
QA241.R67 2005
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