Modern computer algebra / Joachim von zur Gathen, Bonn-Aachen International Center for Information Technology (B-IT), Jürgen Gerhard, Maplesoft, Waterloo.

By: Gathen, Joachim von zur [author.]Contributor(s): Gerhard, Jürgen, 1967- [author.]Material type: TextTextLanguage: English Publisher: Cambridge : Cambridge University Press, 2013Edition: Third editionDescription: xiii, 795 pages : illustrations (some color) ; 26 cmContent type: text Media type: unmediated Carrier type: volumeISBN: 1107039037 (cloth)Subject(s): Algebra -- Data processing | Computer algorithms | Computer science -- MathematicsLOC classification: QA155.7.E4 Z87 2013
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.
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.
Item type Current library Shelving location Call number Copy number Status Date due Barcode
Books MEF Üniversitesi Kütüphanesi
Genel Koleksiyon QA 155.7 .E4 Z87 2013 (Browse shelf (Opens below)) Available 0004136
Books MEF Üniversitesi Kütüphanesi
Genel Koleksiyon QA 155.7 .E4 Z87 2013 (Browse shelf (Opens below)) c.2 Available 0004137
Books MEF Üniversitesi Kütüphanesi
Genel Koleksiyon QA 155.7 .E4 Z87 2013 (Browse shelf (Opens below)) c.3 Available 0004138

First published in 1999.

Includes bibliographical references (pages 734-767) 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.

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.