تحميل...
Modern computer algebra /
Computer algebra systems are now ubiquitous in all areas of science and engineering. This highly successful textbook, widely regarded as the "bible of computer algebra", gives a thorough introduction to the algorithmic basis of the mathematical engine in computer algebra systems. Designed...
| المؤلفون الرئيسيون: | , |
|---|---|
| التنسيق: | Printed Book |
| اللغة: | English |
| منشور في: |
United Kingdom:
Cambridge University Press,
2013.
|
| الطبعة: | Third edition. |
| الموضوعات: |
جدول المحتويات:
- 1. Cyclohexane, cryptography, codes, and computer algebra
- 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
- 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
- 14. Factoring polynomials over finite fields
- 15. Hensel lifting and factoring polynomials
- 16. Short vectors in lattices
- 17. Applications of basis reduction
- 18. Primality testing
- 19. Factoring integers
- 20. Application: public key cryptography
- 21. Gröbner bases
- 22. Symbolic integration
- 23. Symbolic summation
- 24. Applications
- 25. Fundamental concepts.