Introduction to Number Theory, second edition

 

Erickson, M., Vazzana, A., and Garth, D., Introduction to Number Theory, Chapman & Hall/CRC Press, Boca Raton, 2015

 

Contents

1. Introduction [Sage Worksheet]  [Mathematica Notebook]
2. Divisibility
3. Greatest Common Divisor [Sage Worksheet] [Mathematica Notebook]
4. Primes [Sage Worksheet] [Mathematica Notebook]
5. Congruences [Sage Worksheet] [Mathematica Notebook]
6. Special Congruences [Sage Worksheet] [Mathematica Notebook]
7. Primitive Roots [Sage Worksheet] [Mathematica Notebook]
8. Cryptography [Sage Worksheet] [Mathematica Notebook]
9. Quadratic Residues [Sage Worksheet] [Mathematica Notebook]
10. Applications of Quadratic Residues
11. Sums of Squares [Sage Worksheet] [Mathematica Notebook]
12. Further Topics in Diophantine Equations [Sage Worksheet] [Mathematica Notebook]
13. Continued Fractions [Sage Worksheet] [Mathematica Notebook]
14. Continued Fraction Expansions of Quadratic Irrationals [Sage Worksheet] [Mathematica Notebook]
15. Arithmetic Functions [Sage Worksheet] [Mathematica Notebook]
16. Large Primes [Sage Worksheet] [Mathematica Notebook]
17. Analytic Number Theory
18. Elliptic Curves [Sage Worksheet] [Mathematica Notebook]
19. Logic and Number Theory (Chapter available online only)

A Web Resources

B Notation

References

Index

Note: Sage Worksheets can be downloaded for use on a local machine, or can be re-uploaded to cloud.sagemath.com and opened there.

Mathematica Tutorial

Maple Tutorial

Other tutorials:

• sagemath.org tutorial
• wolfram.com tutorial collection

Mathematica and Maple files for First Edtion

Errata for the Second Edition