Number Theory in Science and Communication : With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity

"Number Theory in Science and Communication" is a well-known introduction for non-mathematicians to this fascinating and useful branch of applied mathematics . It stresses intuitive understanding rather than abstract theory and highlights important concepts such as continued fractions, the...

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Bibliografiske detaljer
Hovedforfatter: Schroeder, Manfred Robert, 1926-2009
Format: Livre numérique
Sprog:Anglais
Udgivet: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Udgivelse:Fourth Edition.
Serier:Springer Series in Information Sciences 7
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Edition sous un autre format:• Number Theory in Science and Communication, Texte imprimé, 9783540812531
• Number theory in science and communication, with applications in cryptography, physics, digital information, computing and self-similarity, M.R. Schroeder, 4th ed, Berlin, Springer, 2006, 1 vol. (XI-367 p.), Springer series in information sciences, 3-540-26596-1
Indholdsfortegnelse:
  • 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 Transformation and Kronecker Products Quadratic Congruences Pseudoprimes, 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" Self-Similarity, Fractals, Deterministic Chaos and a New State of Matter.