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010 a| 2013431595;

016 7 a| 0164169532| Uk;

020 a| 9781107039032 (Cloth);

020 a| 1107039037 (Cloth);

035 a| (WaSeSS)ssj0000894076;

042 a| lccopycat;

049 a| EREEa| NEHH;

050 00 a| QA155.7.E4b| Z87 2013;

082 04 a| 512.0028;

100 1 a| Gathen, Joachim von zur.=| ^A683452;

245 10 a| Modern computer algebrah| [electronic resource] /c| Joachim von zur Gathen, Jürgen Gerhard.;

250 a| Third edition.;

260 a| Cambridge :b| Cambridge University Press,c| 2013.;

300 a| xiii, 795 pages :b| illustrations (some color) ;c| 26 cm;

500 a| First published in 1999.;

504 a| Includes bibliographical references (pages 734-767) and index.;

505 0 a| 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.;

506 a| Available only to authorized users.;

520 3 a| 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.;

538 a| Mode of access: World Wide Web;

650 0 a| Algebrax| Data processing.=| ^A141734;

650 0 a| Computer algorithms.=| ^A285321;

650 0 a| Computer sciencex| Mathematics.=| ^A236643;

655 0 a| Electronic books.=| ^A491897;

700 1 a| Gerhard, Jürgen,d| 1967-=| ^A592940;

856 40 z| Full text available from Ebook Central - Academic Completeu| https://ebookcentral.proquest.com/lib/eastcarolina/detail.action?docID=1357372;

947 a| (OCoLC)ocn842411159;

949 a| CLICK ON WEB ADDRESSw| ASISh| JOYNER188;

949 a| CLICK ON WEB ADDRESSw| ASISh| HSL77;

949 a| CLICK ON WEB ADDRESSw| ASISh| JMUSIC60;

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998 a| 5195589;

999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 5195589-1001l| JNETm| JOYNERr| Ys| Yt| JNESSBKu| 11/1/2019x| EBOOKz| JERESOURCE;

999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 5195589-2001l| HSLELECm| HSLr| Ys| Yt| HEBKu| 11/1/2019x| EBOOKz| HERESOURCE;

999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 5195589-3001l| MNETm| JMUSICr| Ys| Yt| MNESSBKu| 11/1/2019x| EBOOKz| JERESOURCE;

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

Author/creator	Gathen, Joachim von zur
Other author	Gerhard, Jürgen, 1967-
Format	Electronic
Edition	Third edition.
Publication Info	Cambridge : Cambridge University Press, 2013.
Description	xiii, 795 pages : illustrations (some color) ; 26 cm
Supplemental Content	Full text available from Ebook Central - Academic Complete
Subjects	Algebra--Data processing. Computer algorithms. Computer science--Mathematics.

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	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.
General note	First published in 1999.
Bibliography note	Includes bibliographical references (pages 734-767) and index.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2013431595
ISBN	9781107039032 (Cloth)
ISBN	1107039037 (Cloth)

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

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