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Joachim von zur Gathen og Jürgen Gerhard
(2013)
Cambridge University Press
1.499,00 kr.
1.349,10 kr.
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Modern Computer Algebra
Joachim von zur Gathen og Jürgen Gerhard
(2013)
Sprog: Engelsk
Cambridge University Press
1.299,00 kr.
1.169,10 kr.
5 stk på lager
Hvor kan jeg afhente varen?Detaljer om varen
- 3. Udgave
- Vital Source searchable e-book (Reflowable pages)
- Udgiver: Cambridge University Press (April 2013)
- Forfattere: Joachim von zur Gathen og Jürgen Gerhard
- ISBN: 9781107241879
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, cryptography, computational logic, and the design of calendars and musical scales). A great deal of historical information and illustration enlivens the text. In this third edition, errors have been corrected and much of the Fast Euclidean Algorithm chapter has been renovated.
Licens varighed:
Bookshelf online: 5 år fra købsdato.
Bookshelf appen: ubegrænset dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 5 sider kan printes ad gangen
Copy: højest 5 sider i alt kan kopieres (copy/paste)
Bookshelf online: 5 år fra købsdato.
Bookshelf appen: ubegrænset dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 5 sider kan printes ad gangen
Copy: højest 5 sider i alt kan kopieres (copy/paste)
Detaljer om varen
- Hardback: 808 sider
- Udgiver: Cambridge University Press (April 2013)
- Forfattere: Joachim von zur Gathen og Jürgen Gerhard
- ISBN: 9781107039032
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, cryptography, computational logic, and the design of calendars and musical scales). A great deal of historical information and illustration enlivens the text. In this third edition, errors have been corrected and much of the Fast Euclidean Algorithm chapter has been renovated.
Introduction;
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.
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.
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