| Title:
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GROBNER DEFORMATIONS OF HYPERGEOMETRIC DIFFERENTIAL EQUATIONS
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| By: |
Mutsumi Saito, Bernd Sturmfels, Nobuki Takayama |
| Format: |
Hardback |
| List price:
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£54.99 |
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| ISBN 10: |
3540660658 |
| ISBN 13: |
9783540660651 |
| Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
| Pub. date: |
12 November, 1999 |
| Edition: |
2000 ed. |
| Series: |
Algorithms and Computation in Mathematics 6 |
| Pages: |
254 |
| Description: |
This mathematical text contains a number of original research results on holonomic systems and hypergeometric functions, and raises many open problems for future research in this area. |
| Synopsis: |
The theory of Grobner bases is a main tool for dealing with rings of differential operators. This book reexamines the concept of Grobner bases from the point of view of geometric deformations. The algorithmic methods introduced in this book are particularly useful for studying the systems of multidimensional hypergeometric PDE's introduced by Gelfand, Kapranov, and Zelevinsky. A number of original research results are contained in the book, and many open problems are raised for future research in this rapidly growing area of computational mathematics. |
| Illustrations: |
5 Illustrations, black and white; VIII, 254 p. 5 illus. |
| Publication: |
Germany |
| Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
| Returns: |
Returnable |