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Number Theory in Science and Communication

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Cover of 'Number Theory in Science and Communication'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 The Natural Numbers
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    Chapter 3 Primes
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    Chapter 4 The Prime Distribution
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    Chapter 5 Fractions: Continued, Egyptian and Farey
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    Chapter 6 Linear Congruences
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    Chapter 7 Diophantine Equations
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    Chapter 8 The Theorems of Fermat Wilson and Euler
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    Chapter 9 Permutations Cycles and Derangements
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    Chapter 10 Euler Trap Doors and Public-Key Encryption
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    Chapter 11 The Divisor Functions
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    Chapter 12 The Prime Divisor Functions
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    Chapter 13 Certified Signatures
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    Chapter 14 Primitive Roots
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    Chapter 15 Knapsack Encryption
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    Chapter 16 Quadratic Residues
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    Chapter 17 The Chinese Remainder Theorem and Simultaneous Congruences
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    Chapter 18 Fast Transformation and Kronecker Products
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    Chapter 19 Quadratic Congruences
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    Chapter 20 Pseudoprimes Poker and Remote Coin Tossing
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    Chapter 21 The Möbius Function and the Möbius Transform
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    Chapter 22 Generating Functions and Partitions
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    Chapter 23 From Error Correcting Codes to Covering Sets
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    Chapter 24 Cyclotomic Polynomials
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    Chapter 25 Linear Systems and Polynomials
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    Chapter 26 Polynomial Theory
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    Chapter 27 Galois Fields
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    Chapter 28 Spectral Properties of Galois Sequences
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    Chapter 29 Random Number Generators
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    Chapter 30 Waveforms and Radiation Patterns
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    Chapter 31 Number Theory Randomness and “Art”
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    Chapter 32 Self-Similarity, Fractals, Deterministic Chaos and a New State of Matter
Attention for Chapter 1: Introduction
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Chapter title
Introduction
Chapter number 1
Book title
Number Theory in Science and Communication
Published by
Springer, Berlin, Heidelberg, January 2009
DOI 10.1007/978-3-540-85298-8_1
Book ISBNs
978-3-54-085297-1, 978-3-54-085298-8
Authors

Manfred Schroeder, Schroeder, Manfred