Introduction to Number Theory

Cover

Erickson, M. and Vazzana, A., Introduction to Number Theory, Chapman & Hall/CRC Press, Boca Raton, 2008

Contents

I Core Topics

1 Introduction

2 Divisibility and Primes, Mathematica Notebook, Maple Worksheet

3 Congruences, Mathematica Notebook, Maple Worksheet

4 Cryptography, Mathematica Notebook, Maple Worksheet

5 Quadratic Residues, Mathematica Notebook, Maple Worksheet

II Further Topics

6 Arithmetic Functions, Mathematica Notebook, Maple Worksheet

7 Large Primes, Mathematica Notebook, Maple Worksheet

8 Continued Fractions, Mathematica Notebook, Maple Worksheet

9 Diophantine Equations, Mathematica Notebook, Maple Worksheet

III Advanced Topics

10 Analytic Number Theory, Maple Worksheet

11 Elliptic Curves, Mathematica Notebook, Maple Worksheet

12 Logic and Number Theory, Mathematica Notebook, Maple Worksheet

A Mathematica Basics, Mathematica Notebook

B Maple Basics, Maple Worksheet

C Web Resources

D Notation

References

Index