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Full Product Details

Author:   Manfred Schroeder
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Fifth Edition 2009
Dimensions:   Width: 15.50cm , Height: 2.50cm , Length: 23.50cm
Weight:   0.841kg
ISBN:  

9783540852971

ISBN 10:   3540852972
Pages:   431
Publication Date:   06 November 2008
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

A Few Fundamentals.- The Natural Numbers.- Primes.- The Prime Distribution.- Some Simple Applications.- Fractions: Continued, Egyptian and Farey.- Congruences and the Like.- Linear Congruences.- Diophantine Equations.- The Theorems of Fermat Wilson and Euler.- Permutations Cycles and Derangements.- Cryptography and Divisors.- Euler Trap Doors and Public-Key Encryption.- The Divisor Functions.- The Prime Divisor Functions.- Certified Signatures.- Primitive Roots.- Knapsack Encryption.- Residues and Diffraction.- Quadratic Residues.- Chinese and Other Fast Algorithms.- The Chinese Remainder Theorem and Simultaneous Congruences.- Fast Transformation and Kronecker Products.- Quadratic Congruences.- Pseudoprimes, Möbius Transform, and Partitions.- Pseudoprimes Poker and Remote Coin Tossing.- The Möbius Function and the Möbius Transform.- Generating Functions and Partitions.- From Error Correcting Codes to Covering Sets.- Cyclotomy and Polynomials.- Cyclotomic Polynomials.- Linear Systems and Polynomials.- Polynomial Theory.- Galois Fields and More Applications.- Galois Fields.- Spectral Properties of Galois Sequences.- Random Number Generators.- Waveforms and Radiation Patterns.- Number Theory Randomness and “Art”.- Self-Similarity, Fractals and Art.- Self-Similarity, Fractals, Deterministic Chaos and a New State of Matter.

Reviews

From the reviews of the fifth edition: “Number theory has been a very active field in the last twenty-seven years, and Schroeder’s text has a palimpsest quality, with later mathematical advances layered on earlier ones. … Number Theory in Science and Communication is rewarding to browse, or as a jumping-off point for further research … . It would be a good source of student projects in an undergraduate discrete mathematics or number theory course.” (Ursula Whitcher, The Mathematical Association of America, March, 2011)

From the reviews of the fifth edition: Number theory has been a very active field in the last twenty-seven years, and Schroeder's text has a palimpsest quality, with later mathematical advances layered on earlier ones. ... Number Theory in Science and Communication is rewarding to browse, or as a jumping-off point for further research ... . It would be a good source of student projects in an undergraduate discrete mathematics or number theory course. (Ursula Whitcher, The Mathematical Association of America, March, 2011)

From the reviews of the fifth edition: Number theory has been a very active field in the last twenty-seven years, and Schroeder's text has a palimpsest quality, with later mathematical advances layered on earlier ones. ... Number Theory in Science and Communication is rewarding to browse, or as a jumping-off point for further research ... . It would be a good source of student projects in an undergraduate discrete mathematics or number theory course. (Ursula Whitcher, The Mathematical Association of America, March, 2011)

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