Modern computer algebra / Joachim von zur Gathen and Jürgen Gerhard.
Author
Published
- Cambridge ; New York : Cambridge University Press 1999
Physical description
xiii, 753 pages : illustrations (some color), portraits (some color) ; 26 cm
ISBN
- 0521641764
- 9780521641760
Notes
- Includes bibliographical references (pages 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.
Subject
- Algebra Data processing.
- Computer algorithms.
- Computer science Mathematics.
- Algorithms
- Algèbre Informatique.
- Algorithmes.
- Informatique Mathématiques.
- algorithms.
- Algebra Data processing
- Computer algorithms
- Computer science Mathematics
- Algorithmus
- Computeralgebra
- Computerwiskunde.
- Algoritmen.
- Algebra.
- Algebra Data processing.
- Computer algorithms.
- Computer science Mathematics.
- Algorithmes.
- Informatique Mathématiques.
- Calcul formel.
Other names
- Gerhard, Jürgen 1967-
- Gerhard, Jürgen 1967-
Related item
- http://catdir.loc.gov/catdir/description/cam0210/99232072.html
Genre
- Bibliography
- Illustrated
- text
Language
- English
Related Internet Resources
- Publisher description http://catdir.loc.gov/catdir/description/cam0210/99232072.html
- 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.
Holdings information at the University of Bristol Libraries
Live circulation data is not available.
| Location of copy | Shelfmark | Availability |
|---|---|---|
| Queen's Building Library | QA155.7.E4 GAT | |
| 7 day loan: vacation loan | ||
Link to external resource:
Resource Link: Table of contents: http://catdir.loc.gov/catdir/toc/cam027/99232072.html
Link to external resource:
Resource Link: Publisher description: http://catdir.loc.gov/catdir/description/cam0210/99232072.html
Link to external resource:
Resource Link: http://www-math.uni-paderborn.de/mca ; solutions des exercices, commentaires
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