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...
Uloženo v:
| Hlavní autor: | |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Vydání: | Fifth Edition. |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Number Theory in Science and Communication, Texte imprimé, 9783540853084 • Number Theory in Science and Communication, Texte imprimé, 9783642099014 • Number theory in science and communication, with applications in cryptography, physics, digital information, computing, and self-similarity, Manfred Schroeder, 5th edition, Berlin, Springer, 2009, 1 Vol. (XXIV-431 p.), 978-3-540-85297-1 |
Obsah:
- 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.