دانلود کتاب Cryptological Mathematics

فهرست مطالب :

Contents
Preface
1 Monoalphabetic Substitution Ciphers
1.1. Well-Ordering Axiom, Principle of Mathematical Induction
1.2. Prime Numbers, Division Algorithm, Greatest Common Divisor
1.3. Relatively Prime Integers, Fundamental Theorem of Arithmetic
1.4 Modular Arithmetic
1.5. Simple Ciphers
1.6. Cryptanalysis of Monoalphabetic Substitution Ciphers
1.7. Personalities
2 Polyalphabetic Substitution Ciphers
2.1. The Multiplication Principle
2.2. Permutations and Combinations
2.3. Probability
2.4. Independent Events and Expected Number
2.5. Disguising the Frequencies
2.6. Personalities
3 Polygraphic Substitution Ciphers
3.1. Elementary Polygraphic Substitution Ciphers
3.2. Elementary Matrix Theory
3.3. Hill\'s System
3.4. Personalities
4 Public Key Cryptography
4.1. More Number Theory
4.2. The RSA Algorithm
4.3. Two Examples
4.4. Other Illustrations of Public Key Cryptography
4.5. Personalities
A ASCII Code
B Taxonomy of Cryptology
C Answers to Even-Numbered Problems
Index