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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 Euler Trap Doors and Public-Key Encryption
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    Chapter 10 The Divisor Functions
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    Chapter 11 The Prime Divisor Functions
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    Chapter 12 Certified Signatures
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    Chapter 13 Primitive Roots
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    Chapter 14 Knapsack Encryption
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    Chapter 15 Quadratic Residues
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    Chapter 16 The Chinese Remainder Theorem and Simultaneous Congruences
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    Chapter 17 Fast Transformation and Kronecker Products
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    Chapter 18 Quadratic Congruences
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    Chapter 19 Pseudoprimes, Poker and Remote Coin Tossing
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    Chapter 20 The Möbius Function and the Möbius Transform
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    Chapter 21 Generating Functions and Partitions
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    Chapter 22 Cyclotomic Polynomials
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    Chapter 23 Linear Systems and Polynomials
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    Chapter 24 Polynomial Theory
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    Chapter 25 Galois Fields
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    Chapter 26 Spectral Properties of Galois Sequences
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    Chapter 27 Random Number Generators
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    Chapter 28 Waveforms and Radiation Patterns
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    Chapter 29 Number Theory, Randomness and “Art”
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    Chapter 30 Self-Similarity, Fractals, Deterministic Chaos and a New State of Matter
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Title
Number Theory in Science and Communication
Published by
Springer Berlin Heidelberg, June 2013
DOI 10.1007/978-3-662-03430-9
ISBNs
978-3-54-062006-8, 978-3-66-203430-9
Authors

Schroeder, Manfred R.

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