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Elementary Number Theory by Kenneth Rosen (2010, Hardcover, New Edition)

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Elementary Number Theory by Kenneth H. Rosen (2010, HC, 6th Ed).

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Product Information

Elementary Number Theory, Sixth Edition , blends classical theory with modern applications and is notable for its outstanding exercise sets. A full range of exercises, from basic to challenging, helps readers explore key concepts and push their understanding to new heights. Computational exercises and computer projects are also available. Reflecting many years of professors' feedback, this edition offers new examples, exercises, and applications, while incorporating advancements and discoveries in number theory made in the past few years.

Product Identifiers

Publisher
Pearson Education
ISBN-10
0321500318
ISBN-13
9780321500311
eBay Product ID (ePID)
72444498

Product Key Features

Author
Kenneth Rosen
Publication Name
Elementary Number Theory
Format
Hardcover
Language
English
Features
New Edition
Publication Year
2010
Type
Textbook
Number of Pages
768 Pages

Dimensions

Item Length
9.2in
Item Height
1.2in
Item Width
7in
Item Weight
44 Oz

Additional Product Features

Lc Classification Number
Qa241.R67 2011
Edition Description
New Edition
Edition Number
6
Table of Content
Table of Contents What is Number Theory? The Integers. Numbers and Sequences. Sums and Products. Mathematical Induction. The Fibonacci Numbers. Integer Representations and Operations. Representations of Integers. Computer Operations with Integers. Complexity of Integer Operations. 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. Congruences. Introduction to Congruences. Linear Congrences. The Chinese Remainder Theorem. Solving Polynomial Congruences. Systems of Linear Congruences. Factoring Using the Pollard Rho Method. Applications of Congruences. Divisibility Tests. The perpetual Calendar. Round Robin Tournaments. Hashing Functions. Check Digits. Some Special Congruences. Wilson's Theorem and Fermat's Little Theorem. Pseudoprimes. Euler's Theorem. Multiplicative Functions. The Euler Phi-Function. The Sum and Number of Divisors. Perfect Numbers and Mersenne Primes. Mobius Inversion. Partitions. Cryptology. Character Ciphers. Block and Stream Ciphers. Exponentiation Ciphers. Knapsack Ciphers. Cryptographic Protocols and Applications. 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. Universal Exponents. Applications of Primitive Roots and the Order of an Integer. Pseudorandom Numbers. The EIGamal Cryptosystem. An Application to the Splicing of Telephone Cables. Quadratic Residues. Quadratic Residues and nonresidues. The Law of Quadratic Reciprocity. The Jacobi Symbol. Euler Pseudoprimes. Zero-Knowledge Proofs. Decimal Fractions and Continued. Decimal Fractions. Finite Continued Fractions. Infinite Continued Fractions. Periodic Continued Fractions. Factoring Using Continued Fractions. Some Nonlinear Diophantine Equations. Pythagorean Triples. Fermat's Last Theorem. Sums of Squares. Pell's Equation. Congruent Numbers. The Gaussian Integers. Gaussian Primes. Unique Factorization of Gaussian Integers. Gaussian Integers and Sums of Squares.
Copyright Date
2011
Target Audience
College Audience
Topic
General, Number Theory
Lccn
2010-002572
Dewey Decimal
512.7/2
Dewey Edition
22
Illustrated
Yes
Genre
Mathematics

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Elementary Number Theory by Kenneth Rosen (2010, Hardcover, New Edition)

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item 1 Elementary Number Theory and Its Application, 6th Edition

item 2 Elementary Number Theory and Its Application, 6th Edition - VERY GOOD

item 3 Elementary Number Theory and Its Application, 6th Edition, Rosen, Kenneth, 97803

item 4 Elementary Number Theory: And Its Applications by Kenneth Rosen: Used

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