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Elementary Number Theory by Kenneth Rosen (2010, Hardcover)
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Pages contain writing, marking, underlining, and highlighting throughout. Text block edges are bumped, show light discoloration, and may have been exposed to humidity.
- Buy it nowElementary Number Theory and Its Applications (6th Edition) Kenneth H. Rosen
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About this product
Product Identifiers
PublisherPearson Education
ISBN-100321500318
ISBN-139780321500311
eBay Product ID (ePID)72444498
Product Key Features
Number of Pages768 Pages
LanguageEnglish
Publication NameElementary Number Theory
Publication Year2010
SubjectGeneral, Number Theory
FeaturesNew Edition
TypeTextbook
Subject AreaMathematics
AuthorKenneth Rosen
FormatHardcover
Dimensions
Item Height0.4 in
Item Weight44 Oz
Item Length9.2 in
Item Width7 in
Additional Product Features
Edition Number6
Intended AudienceCollege Audience
LCCN2010-002572
Dewey Edition22
IllustratedYes
Dewey Decimal512.7/2
Edition DescriptionNew Edition
Table Of ContentTable 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.
SynopsisElementary 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., 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 students explore key concepts and push their understanding to new heights. Computational exercises and computer projects are also available. Reflecting many years of professor feedback, this edition offers new examples, exercises, and applications, while incorporating advancements and discoveries in number theory made in the past few years., Elementary Number Theory , 6/e, blends classical theory with modern applications and is notable for its outstanding exercise sets. A full range of exercises, from basic to challenging, helps students explore key concepts and push their understanding to new heights. Computational exercises and computer projects are also available. Reflecting many years of professor feedback, this edition offers new examples, exercises, and applications, while incorporating advancements and discoveries in number theory made in the past few years.
LC Classification NumberQA241.R67 2011
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