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Elementary Number Theory by Kenneth Rosen Hardcover Fifth Edition
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Elementary Number Theory by Kenneth Rosen Hardcover Fifth Edition
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Elementary Number Theory by Kenneth Rosen Hardcover Fifth Edition

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    eBay item number:187196409357
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    Item specifics

    Condition
    Very Good: A book that has been read but is in excellent condition. No obvious damage to the cover, ...
    ISBN
    9780321237071

    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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