Thursday, July 28, 2016
Download A introduction to Number Theory and Algebra by Victor Shoup Download free PDF
A introduction to Number Theory and Algebra by Victor Shoup
“A introduction to Number Theory and Algebra” is written by “Victor Shoup”.This is his 2 version. This document contains hyperlinks and one can navigate by clicking on theorem,definition,equation,page number,URLs,chapter section and titles in the content of books.It also display a list of bookmarks that allow direct access to chapters and sections.It contains 20 chapters with index,appendix and bibliography.Contents of book are as follow.
1. Basic properties of integers
2. Congruence
3. Computing with large integers
4. Euclid’s Algorithm
5. The distribution of Primes
6. Abelian Groups
7. Rings
8. Finite and discrete probability distribution
9. Probabilistic Algorithms
10. Probabilistic testing
11. Finding generators and discrete logarithms in Z*p
12. Quadratic reciprocity and computing modular square roots
13. Modules and Vector Spaces
14. Matrices
15. Sub exponential-time discrete logarithms and factoring
16. More rings
17. Polynomial Arithmetic and applications
18. Linearly generated sequences and applications
19. Finite Fields
20. Algorithms for finite fields
21. Deterministic primality testing.
