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Title: Number Theory in Science and Communication With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity / by Manfred Schroeder.
Main Entry: Schroeder, Manfred.
SpringerLink (Online service)
Publisher: Springer Berlin Heidelberg,
Publication Date: 2009.
Publication Place: Berlin, Heidelberg :
ISBN: 9783540852988
Subject: Physics.
Coding theory.
Number theory.
Distribution (Probability theory).
Mathematical physics.
Physics.
Mathematical Methods in Physics.
Numerical and Computational Methods.
Coding and Information Theory.
Probability Theory and Stochastic Processes.
Number theory.
Edition: Fifth Edition.
Contents: <P>Introduction -- The Natural Numbers -- Primes -- The Prime Distribution -- Fractions: Continued, Egyptian and Farey -- Linear Congruences -- Diophantine Equations -- The Theorems of Fermat, Wilson and Euler -- Permutation, Cycles and Derangements -- Euler Trap Doors and Public-Key Encryption -- The Divisor Functions -- The Prime Divisor Functions -- Certified Signatures -- Primitive Roots -- Knapsack Encryption -- Quadratic Residues -- The Chinese Remainder Theorem and Simultaneous Congruences -- Fast Transformations and Kronecker Products -- Quadratic Congruences -- Psudoprimes, Poker and Remote Coin Tossing -- The Möbius Function and the Möbius Transform -- From Error Correction Codes to Covering Sets -- Generating Functions and Partitions -- Cyclotomic Polynomials -- Linear Systems and Polynomials -- Polynomial Theory -- Galois Fields -- Spectral Properties of Galois Sequences -- Random Number Generators -- Waveforms and Radiation Patterns -- Number Theory, Randomness and "Art".</P>.
Related Records: Springer eBooks
Printed edition: 9783540852971
Cover Image: http://images.amazon.com/images/P/9783540852988.jpg

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