Solving Polynomial Equation Systems II
Macaulay's Paradigm and Gröbner Technology
£200.00
Part of Encyclopedia of Mathematics and its Applications
- Author: Teo Mora, University of Genoa
- Date Published: May 2005
- availability: Available
- format: Hardback
- isbn: 9780521811569
£
200.00
Hardback
Other available formats:
eBook
Looking for an inspection copy?
This title is not currently available on inspection
-
The second volume of this comprehensive treatise focusses on Buchberger theory and its application to the algorithmic view of commutative algebra. In distinction to other works, the presentation here is based on the intrinsic linear algebra structure of Groebner bases, and thus elementary considerations lead easily to the state-of-the-art in issues of implementation. The same language describes the applications of Groebner technology to the central problems of commutative algebra. The book can be also used as a reference on elementary ideal theory and a source for the state-of-the-art in its algorithmization. Aiming to provide a complete survey on Groebner bases and their applications, the author also includes advanced aspects of Buchberger theory, such as the complexity of the algorithm, Galligo's theorem, the optimality of degrevlex, the Gianni-Kalkbrener theorem, the FGLM algorithm, and so on. Thus it will be essential for all workers in commutative algebra, computational algebra and algebraic geometry.
Read more- Elementary introduction to Groebner bases and Buchberger's Algorithm which also discusses the state-of-the-art of the best implementations
- Survey of last twenty years work on applying Groebner technology to commutative algebra
- Unique in stressing modern framework for computational work and solution methods
Reviews & endorsements
'The author treats all relevant steps and results in great detail also including advanced and most recent developments respectively, both of the theoretical and the algorithmic side … an abundance of worked out examples shows the effectivity of the various algorithms.' Monatshefte für Mathematik
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: May 2005
- format: Hardback
- isbn: 9780521811569
- length: 784 pages
- dimensions: 242 x 165 x 42 mm
- weight: 1.261kg
- availability: Available
Table of Contents
Preface
Part III. Gauss, Euclid, Buchberger - Elementary Gröbner Bases:
20. Hilbert
21. Gauss
22. Buchberger
23. Macaulay I
24. Gröbner I
25. Gebauer and Traverso
26. Spear
Part IV. Duality:
27. Noether
28. Möller I
29. Lazard
30. Macaulay II
31. Gröbner II
32. Gröbner III
33. Möller II
Part IV. Beyond Dimension Zero:
34. Gröbner IV
35. Gianni Trager Zacharias
36. Macaulay III
37. Galligo
38. Giusti
Bibliography
Index.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
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 ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×