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

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"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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Schroeder, Manfred (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2009.
Edición:5th ed. 2009.
Temas:
Mathematical physics.
Coding theory.
Information theory.
Probabilities.
Number theory.
Mathematical Methods in Physics.
Theoretical, Mathematical and Computational Physics.
Coding and Information Theory.
Probability Theory.
Number Theory.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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