Modern computer algebra /Joachim von zur Gathen, Jürgen Gerhard.
Gathen, Joachim von zur,
Modern computer algebra /Joachim von zur Gathen, Jürgen Gerhard. - Third edition. - Cambridge : Cambridge University Press, (c)2013. - 1 online resource (815 pages) : illustrations
Includes bibliographies and index.
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.
Now in its third edition, this highly successful textbook is widely regarded as the 'bible of computer algebra'.
9781139856065 9781107248052 9781107250543
016416953 Uk
Computer algorithms.
Algorithms.
Electronic Books.
QA155 / .M634 2013
Modern computer algebra /Joachim von zur Gathen, Jürgen Gerhard. - Third edition. - Cambridge : Cambridge University Press, (c)2013. - 1 online resource (815 pages) : illustrations
Includes bibliographies and index.
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.
Now in its third edition, this highly successful textbook is widely regarded as the 'bible of computer algebra'.
9781139856065 9781107248052 9781107250543
016416953 Uk
Computer algorithms.
Algorithms.
Electronic Books.
QA155 / .M634 2013