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Modern Computer Algebra Vital Source e-bog
Joachim von zur Gathen og Jürgen Gerhard
(2013)
Modern Computer Algebra
Joachim von zur Gathen og Jürgen Gerhard
(2013)
Sprog: Engelsk
Detaljer om varen
- 3. Udgave
- Vital Source searchable e-book (Reflowable pages)
- Udgiver: Cambridge University Press (April 2013)
- Forfattere: Joachim von zur Gathen og Jürgen Gerhard
- ISBN: 9781107241879
Bookshelf online: 5 år fra købsdato.
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Detaljer om varen
- Hardback: 808 sider
- Udgiver: Cambridge University Press (April 2013)
- Forfattere: Joachim von zur Gathen og Jürgen Gerhard
- ISBN: 9781107039032
1. Cyclohexane, cryptography, codes, and computer algebra;
Part I. Euclid:
2. Fundamental algorithms;
3. The Euclidean Algorithm;
4. Applications of the Euclidean Algorithm;
5. Modular algorithms and interpolation;
6. The resultant and gcd computation;
7. Application: decoding BCH codes;
Part II. Newton:
8. Fast multiplication;
9. Newton iteration;
10. Fast polynomial evaluation and interpolation;
11. Fast Euclidean Algorithm;
12. Fast linear algebra;
13. Fourier Transform and image compression;
Part III. Gauß:
14. Factoring polynomials over finite fields;
15. Hensel lifting and factoring polynomials;
16. Short vectors in lattices;
17. Applications of basis reduction;
Part IV. Fermat:
18. Primality testing;
19. Factoring integers;
20. Application: public key cryptography;
Part V. Hilbert:
21. Gröbner bases;
22. Symbolic integration;
23. Symbolic summation;
24. Applications; Appendix:
25. Fundamental concepts; Sources of illustrations; Sources of quotations; List of algorithms; List of figures and tables; References; List of notation; Index.