Research Catalog
Modern computer algebra
- Title
- Modern computer algebra / Joachim von zur Gathen and Jürgen Gerhard.
- Author
- Gathen, Joachim von zur.
- Publication
- Cambridge ; New York : Cambridge University Press, 1999.
Items in the Library & Off-site
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1 Item
| Status | Format | Access | Call Number | Item Location |
|---|---|---|---|---|
| Text | Use in library | QA76.9.A43 Z873 1999 | Off-site |
Details
- Additional Authors
- Gerhard, Jürgen, 1967-
- Description
- xiii, 753 pages : illustrations (some color), portraits (some color); 26 cm
- Summary
- Computer algebra systems are gaining more and more importance in all areas of science and engineering. This textbook gives a thorough introduction to the subject, which is the basis of the mathematical engine in computer algebra systems.
- Subject
- Bibliography (note)
- Includes bibliographical references (p. 698-727) and index.
- Contents
- 1. Cyclohexane, cryptography, codes, and computer algebra -- 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 -- 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 -- III. Gauss -- 14. Factoring polynomials over finite fields -- 15. Hensel lifting and factoring polynomials -- 16. Short vectors in lattices -- 17. Applications of basis reduction -- IV. Fermat -- 18. Primality testing -- 19. Factoring integers -- 20. Application: Public key cryptography -- V. Hilbert -- 21. Grobner bases -- 22. Symbolic integration -- 23. Symbolic summation -- 24. Applications -- 25. Fundamental concepts.
- ISBN
- 0521641764
- 9780521641760
- LCCN
- 99232072
- OCLC
- ocm41419772
- 41419772
- SCSB-798341
- Owning Institutions
- Princeton University Library