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Computational Introduction to Number Theory and Algebra

Computational Introduction to Number Theory and Algebra - 2nd edition

Computational Introduction to Number Theory and Algebra - 2nd edition

ISBN13: 9780521516440

ISBN10: 0521516447

Computational Introduction to Number Theory and Algebra by Victor Shoup - ISBN 9780521516440
Cover type: Hardback
Edition: 2ND 09
Copyright: 2009
Publisher: Cambridge University Press
Published:
International: No
Computational Introduction to Number Theory and Algebra by Victor Shoup - ISBN 9780521516440

ISBN13: 9780521516440

ISBN10: 0521516447

Cover type: Hardback
Edition: 2ND 09

List price: $69.99

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Summary

Preface; Preliminaries; 1. Basic properties of the integers; 2. Congruences; 3. Computing with large integers; 4. Euclid's algorithm; 5. The distribution of primes; 6. Abelian groups; 7. Rings; 8. Finite and discrete probability distributions; 9. Probabilistic algorithms; 10. Probabilistic primality 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. Subexponential-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; Appendix: Some useful facts; Bibliography; Index of notation; Index.

Other Editions of Computational Introduction to Number Theory and Algebra

Computational Introduction to Number Theory and Algebra by Victor Shoup - ISBN 9780521851541