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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2006.
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| Edición: | 4th ed. 2006. |
| Colección: | Springer Series in Information Sciences ;
7 |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- 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.