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Modern Computer Algebra by Jürgen Gerhard and Joachim Von Zur Gathen (2003, Hardcover)
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About this product
Product Identifiers
PublisherCambridge University Press
ISBN-100521826462
ISBN-139780521826464
eBay Product ID (ePID)2398965
Product Key Features
Number of Pages800 Pages
LanguageEnglish
Publication NameModern Computer Algebra
SubjectProgramming / Algorithms, General, Algebra / General, Discrete Mathematics
Publication Year2003
FeaturesRevised
TypeTextbook
AuthorJürgen Gerhard, Joachim Von Zur Gathen
Subject AreaMathematics, Computers
FormatHardcover
Dimensions
Item Height1.7 in
Item Weight62.2 Oz
Item Length10.1 in
Item Width7.2 in
Additional Product Features
Edition Number2
Intended AudienceScholarly & Professional
LCCN2003-283128
Reviews'This book is a delight: I heartily recommend it.'London Mathematical Society Newsletter'I predict it will be a major success.'Steve Cook, '� this lively and exciting volume represents the state of the art in textbooks on computer algebra. Every student and instructor in this area will want a copy.' Mathematical Reviews, From reviews of the first edition:'Wow! What a beautifully produced book, and what a wealth of information.'Don Knuth, '... this lively and exciting volume represents the state of the art in textbooks on computer algebra. Every student and instructor in this area will want a copy.' Mathematical Reviews, From reviews of the first edition: 'Wow! What a beautifully produced book, and what a wealth of information.' Don Knuth, 'This book is a delight: I heartily recommend it.’London Mathematical Society Newsletter'I predict it will be a major success.’Steve Cook, From reviews of the first edition: ?Wow! What a beautifully produced book, and what a wealth of information.'? Don Knuth, 'This book is a delight: I heartily recommend it.' London Mathematical Society Newsletter ?I predict it will be a major success.' Steve Cook, From reviews of the first edition:'Wow! What a beautifully produced book, and what a wealth of information.’Don Knuth
Dewey Edition22
IllustratedYes
Dewey Decimal512/.00285
Table Of ContentIntroduction; 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.
Edition DescriptionRevised edition
SynopsisDesigned 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, This is the new edition of the comprehensive and authoritative textbook designed for advanced undergraduate or graduate students in computer science or mathematics. It is also an essential reference for professionals. The text has been smoothed and corrected, and updated with new sections including greatest common divisors and symbolic integration., Computer algebra systems are gaining importance in all areas of science and engineering. This textbook gives a thorough introduction to the algorithmic basis of the mathematical engine in computer algebra systems. It is designed to accompany one- or two-semester courses for advanced undergraduate or graduate students in computer science or mathematics. Its comprehensiveness and authority also make 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; a wide variety of applications (among others, in chemistry, coding theory, cryptography, computational logic, and the design of calendars and musical scales). Some of this material has never appeared before in book form. For the new edition, errors have been corrected, the text has been smoothed and updated, and new sections on greatest common divisors and symbolic integration have been added.
LC Classification NumberQA155.7.E4 Z87 2003
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