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Computational Intro. to Number Theory...

Computational Intro. to Number Theory... - 2nd edition

ISBN13: 978-0521516440

Cover of Computational Intro. to Number Theory... 2ND 09 (ISBN 978-0521516440)
ISBN13: 978-0521516440
ISBN10: 0521516447
Cover type:
Edition/Copyright: 2ND 09
Publisher: Cambridge University Press
Published: 2009
International: No
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Computational Intro. to Number Theory... - 2ND 09 edition

ISBN13: 978-0521516440

Shoup

ISBN13: 978-0521516440
ISBN10: 0521516447
Cover type:
Edition/Copyright: 2ND 09
Publisher: Cambridge University Press

Published: 2009
International: No
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.

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