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Modern computer algebra / Joachim von zur Gathen, Jürgen Gerhard.

By: Contributor(s): Material type: TextTextPublication details: Cambridge : Cambridge University Press, 2013.Edition: Third editionDescription: 1 online resource (815 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781139856065
  • 1139856065
  • 9781299772717
  • 1299772714
  • 9781107248052
  • 1107248051
  • 9781107250543
  • 1107250544
  • 9781107248885
  • 1107248884
Subject(s): Genre/Form: Additional physical formats: Print version:: Modern Computer Algebra.DDC classification:
  • 512.0028 22
LOC classification:
  • QA155.7.E4
Online resources:
Contents:
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.
Summary: Now in its third edition, this highly successful textbook is widely regarded as the 'bible of computer algebra'.
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Electronic-Books Electronic-Books OPJGU Sonepat- Campus E-Books EBSCO Available

Print version record.

Now in its third edition, this highly successful textbook is widely regarded as the 'bible of computer algebra'.

Includes bibliographical references 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.

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