Modern Computer Algebra
$108.00 ( ) USD
- Joachim von zur Gathen, Bonn-Aachen International Center for Information Technology
- Jürgen Gerhard, Maplesoft, Canada
Adobe eBook Reader
Other available formats:
Looking for an examination copy?
If you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact email@example.com providing details of the course you are teaching.
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.Read more
- Detailed algorithms with analysis, and complete proofs (none left to the reader)
- Student-friendly with gentle introductions and overviews
- Includes many illustrations and applications and much historical background
- Solutions to selected exercises are available from the book's webpage
Reviews & endorsements
"I have to say that not only can one apply the book as a flexible textbook for many courses, but its comprehensiveness and clear style also make it an excellent reference text for computer science researchers and grad[uate] students, and anyone else interested in developing exact solution codes."
Alexander Tzanov, Computing ReviewsSee more reviews
"… a polished introduction to algorithms for performing algebraic operations on a computer … The book is almost as interesting for the advanced mathematics (mostly in ring and ideal theory and in linear algebra) that is needed to develop the algorithms. It assumes familiarity with the fundamentals of these topics, but does include a 25-page appendix summarizing the needed background. It is well-equipped with exercises, ranging from numerical practice to extensions and variants on results in the body."
Allen Stenger, MAA Reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Edition: 3rd Edition
- format: Adobe eBook Reader
- isbn: 9781107240759
- contains: 55 b/w illus. 53 colour illus. 40 tables 560 exercises
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
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
25. Fundamental concepts
Sources of illustrations
Sources of quotations
List of algorithms
List of figures and tables
List of notation
Welcome to the resources site
Here you will find free-of-charge online materials to accompany this book. The range of materials we provide across our academic and higher education titles are an integral part of the book package whether you are a student, instructor, researcher or professional.
Find resources associated with this titleYour search for '' returned .
Type Name Unlocked * Format Size
*This title has one or more locked files and access is given only to instructors adopting the textbook for their class. We need to enforce this strictly so that solutions are not made available to students. To gain access to locked resources you either need first to sign in or register for an account.
These resources are provided free of charge by Cambridge University Press with permission of the author of the corresponding work, but are subject to copyright. You are permitted to view, print and download these resources for your own personal use only, provided any copyright lines on the resources are not removed or altered in any way. Any other use, including but not limited to distribution of the resources in modified form, or via electronic or other media, is strictly prohibited unless you have permission from the author of the corresponding work and provided you give appropriate acknowledgement of the source.
If you are having problems accessing these resources please email firstname.lastname@example.org
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email email@example.comRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×