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

• Κύριος συγγραφέας: Schroeder, Manfred R. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Έκδοση: Fourth Edition.
• Σειρά: Springer Series in Information Sciences, 7
• Θέματα: Mathematics.; Coding theory.; Number theory.; Probabilities.; Physics.; Number Theory.; Mathematical Methods in Physics.; Numerical and Computational Physics.; Coding and Information Theory.; Probability Theory and Stochastic Processes.

"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...

Πίνακας περιεχομένων:

• 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.