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" Number theory in science and communication : "
M.R. Schroeder.
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BL
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| Record Number
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759334
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b579305
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| Main Entry
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M.R. Schroeder.
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| Title & Author
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Number theory in science and communication : : with applications in cryptography, physics, digital information, computing, and self-similarity\ M.R. Schroeder.
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| Edition Statement
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Third edition
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| Publication Statement
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Berlin ; New York : Springer, [, 1997] ©1997
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| Series Statement
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Springer series in information sciences, 7.
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| Page. NO
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(xxii, 362 pages) : illustrations (some color)
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| ISBN
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3662034301
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: 9783662034309
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| Contents
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Introduction --; The Natural Numbers --; Primes --; The Prime Distribution --; Fractions: Continued, Egyptian and Farey --; Linear Congruences --; Diophantine Equations --; The Theorems of Fermat, Wilson and Euler --; 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 Mbius Function and the Mbius Transform --; 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."
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| Abstract
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Number Theory in Science and Communication is an introduction for non-mathematicians. The book stresses intuitive understanding rather than abstract theory and highlights important concepts such as continued fractions, the golden ratio, quadratic residues and Chinese remainders, trapdoor functions, pseudoprimes and primituve elements. Their applications to problems in the real world is one of the main themes of the book. This third edition is augmented by recent advances in primes in progressions, twin primes, prime triplets, prime quadruplets and quintruplets, factoring with elliptic curves, quantum factoring, Golomb rulers and "baroque" integers.
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| Subject
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Getaltheorie.
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Nombres, Théorie des.
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| Subject
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Number theory.
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| Added Entry
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M R Schroeder
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