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Modern Computer Algebra
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  • 54 colour illus. 29 tables 563 exercises
  • Page extent: 800 pages
  • Size: 247 x 174 mm
  • Weight: 1.763 kg

Library of Congress

  • Dewey number: 512/.00285
  • Dewey version: 22
  • LC Classification: QA155.7.E4 Z87 2003
  • LC Subject headings:
    • Algebra--Data processing
    • Computer algorithms
    • Computer science--Mathematics

Library of Congress Record


 (ISBN-13: 9780521826464 | ISBN-10: 0521826462)

  • Published September 2003

Replaced by 9781107039032


Designed to accompany one- or two-semester courses for advanced undergraduate or graduate students, this text's comprehensiveness and reliability also make it an essential reference for professionals. Errors have been corrected and new sections on greatest common divisors and symbolic integration have been added to this updated edition. First Edition Hb (1999): 0-521-64176-4


Introduction; 1. Cyclohexane, cryptography, codes and computer algebra; Part 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; Part 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; Part III. Gauß: 14. Factoring polynomials over finite fields; 15. Hensel lifting and factoring polynomials; 16. Short vectors in lattices; 17. Applications of basis reduction; Part IV. Fermat: 18. Primality testing; 19. Factoring integers; 20. Application: public key cryptography; Part V. Hilbert: 21. Gröbner bases; 22. Symbolic integration; 23. Symbolic summation; 24. Applications; Appendix: 25. Fundamental concepts; Sources of illustrations; Sources of quotations; List of algorithms; List of figures and tables; References; List of notation; Index.

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