Elementary Number Theory and Its Applications. 5th edition. Rosen

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Item specifics

Condition
Good: A book that has been read but is in good condition. Very minimal damage to the cover including ...
ISBN
9780321237071
Category

About this product

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
Language
English
Publication Name
Elementary Number Theory and Its Applications
Subject
Number Theory
Publication Year
2004
Features
Revised
Type
Textbook
Subject Area
Mathematics
Author
Kenneth H. Rosen
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
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
Edition Description
Revised edition
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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