Modern computer algebra / Joachim von zur Gathen, Jürgen Gerhard.
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 to accompa...
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| Main Authors: | , |
|---|---|
| Language: | English |
| Published: |
Cambridge :
Cambridge University Press,
2013.
|
| Edition: | Third edition. |
| Subjects: | |
| Physical Description: | xiii, 795 pages : illustrations (black and white, and colour) ; 26 cm |
| Format: | Book |
MARC
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| 100 | 1 | |a Gathen, Joachim von zur, |e author. |0 http://id.loc.gov/authorities/names/nb98055048 | |
| 245 | 1 | 0 | |a Modern computer algebra / |c Joachim von zur Gathen, Jürgen Gerhard. |
| 250 | |a Third edition. | ||
| 264 | 1 | |a Cambridge : |b Cambridge University Press, |c 2013. | |
| 300 | |a xiii, 795 pages : |b illustrations (black and white, and colour) ; |c 26 cm | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a unmediated |b n |2 rdamedia | ||
| 338 | |a volume |b nc |2 rdacarrier | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a 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. | |
| 520 | 3 | |a 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 to accompany one- or two- semester courses for advanced undergraduate or graduate students in computer science or mathematics, its comprehensiveness and reliability has also made it an essential reference for professionals in the area. Special features include: detailed study of algorithms including time analysis; implementation reports on several topics; complete proofs of the mathematical underpinnings; and a wide variety of applications (among others, in chemistry, coding theory, crytopgraphy, computational logic, and the design of calendars and musical scales). A great deal of historical information and illustration enlivens the text. | |
| 650 | 0 | |a Computer science |x Mathematics. |0 http://id.loc.gov/authorities/subjects/sh85042295 | |
| 650 | 0 | |a Algebra |x Data processing. |0 http://id.loc.gov/authorities/subjects/sh2007100982 | |
| 650 | 0 | |a Computer algorithms. |0 http://id.loc.gov/authorities/subjects/sh91000149 | |
| 700 | 1 | |a Gerhard, Jürgen, |d 1967- |e author. |0 http://id.loc.gov/authorities/names/nb99045337 | |
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