Introduction
1 Introduction to Proofs and Mathematical Logic
- 1.1 Proofs
2 Divisibility and Euclid’s Algorithm
3 Prime Numbers
4 Congruences
5 Congruences with a prime modulus
6 Euler’s Function
7 Applications to cryptography
8 More cryptography
9 Coursework Sheets
10 Appendix A - Well ordering principle
11 Appendix B - Peano’s Axioms
12 Appendix C - Infinite Cardinals
13 Appendix D - Euclidean Algorithm
14 Appendix E - Linear congruence
15 Appendix F - Simultaneous Linear congruences
16 Appendix G - Frequency calculator
17 Appendix H - Vigenère Cipher Calculator
18 Appendix I - Substitution Cipher Calculator
Solutions to Exercises
Content Index
References

MATH1001 Introduction to Number Theory

Chapter 16 Appendix G - Frequency calculator

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