Modern Computer Algebra / Edition 3

Modern Computer Algebra / Edition 3

by Joachim von zur Gathen
     
 

Now in its third edition, this highly successful textbook is widely regarded as the 'bible of computer algebra'.See more details below

Overview

Now in its third edition, this highly successful textbook is widely regarded as the 'bible of computer algebra'.

Product Details

ISBN-13:
9781107039032
Publisher:
Cambridge University Press
Publication date:
04/30/2013
Edition description:
New Edition
Pages:
815
Product dimensions:
6.97(w) x 10.00(h) x 1.50(d)

Table of Contents

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.

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