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- catalog abstract "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.".
- catalog contributor b10485978.
- catalog created "c1997.".
- catalog date "1997".
- catalog date "c1997.".
- catalog dateCopyrighted "c1997.".
- catalog description "Includes bibliographical references (p. [339]-349) and indexes.".
- catalog description "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 Möbius Function and the Möbius 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".".
- catalog description "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.".
- catalog extent "xxii, 362 p. :".
- catalog identifier "3540620060 (Berlin : softcover : acid-free paper)".
- catalog isPartOf "Springer series in information sciences, 0720-678X ; 7".
- catalog issued "1997".
- catalog issued "c1997.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog subject "512/.7 21".
- catalog subject "Coding theory.".
- catalog subject "Distribution (Probability theory).".
- catalog subject "Mathematical physics.".
- catalog subject "Number theory.".
- catalog subject "Physics.".
- catalog subject "QA241 .S318 1997".
- catalog tableOfContents "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 Möbius Function and the Möbius 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".".
- catalog title "Number theory in science and communication : with applications in cryptography, physics, digital information, computing, and self-similarity / M.R. Schroeder.".
- catalog type "text".