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A introduction to Theory and Aebra by Victor Shoup
“A introduction to Theory and Aebra” is written by “Victor Shoup”.Thisis his 2version.Thisdocument contains hyperlinks and one can navigate by clicking on theorem,definition,equation,page ,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 Aorithm

5. The distribution of Primes

6. Abelian Groups

7. Rings

8. Finite and discrete probability distribution

9. Probabilistic Aorithms

10. Probabilistic testing

11. Finding s 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 appliions

18. Linrly erated sequences and appliions

19. Finite Fields

20. Aorithms for finite fields

21. Deterministic primality testing.

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