rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Modern computer algebra
  name:
    name part: Gathen, Joachim von zur
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Gerhard, Jürgen
    name part: 1967-
    role:
      role term: author.
  type of resource: text
  genre: bibliography
  origin info:
    place:
      place term: enk
    date issued: 2013
    edition: Third edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: print
    extent: xiii, 795 pages : illustrations (some color) ; 26 cm.
  abstract: 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.
  table of 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.
  note: Joachim von zur Gathen, Jürgen Gerhard.
  note: First published in 1999.
  note: Includes bibliographical references (pages 734-767) and index.
  subject:
    topic: Algebra
    topic: Data processing
  subject:
    topic: Computer algorithms
  subject:
    topic: Computer science
    topic: Mathematics
  classification: QA155.7.E4 G38 2013
  classification: 512.0028
  identifier: 9781107039032 (Cloth)
  identifier: 1107039037 (Cloth)
  record info:
    record content source: CDX
    record creation date: 130419
    record change date: 20151206085650.0
    record identifier: in00003413551