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Alternative Etext Formats Ser.: Elementary Number Theory and Its Applications by Kenneth H. Rosen (2004, Trade Paperback)
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Computational exercises and computer projects are also provided. The blending of classical theory with modern applications is a hallmark feature of the text.
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Product Identifiers
PublisherAddison-Wesley Longman, Incorporated
ISBN-100321237072
ISBN-139780321237071
eBay Product ID (ePID)43117423
Product Key Features
Number of Pages744 Pages
LanguageEnglish
Publication NameElementary Number Theory and Its Applications
SubjectNumber Theory
Publication Year2004
FeaturesRevised
TypeTextbook
Subject AreaMathematics
AuthorKenneth H. Rosen
SeriesAlternative Etext Formats Ser.
FormatTrade Paperback
Dimensions
Item Height0.5 in
Item Weight42.3 Oz
Item Length9.3 in
Item Width7 in
Additional Product Features
Edition Number5
Intended AudienceCollege Audience
LCCN2004-057054
IllustratedYes
Table Of ContentP. 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 DescriptionRevised edition
SynopsisElementary 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 NumberQA241.R67 2005
