Overview
- This book is the first on this topic
- It is a research monograph that can also be used as a course text for graduate courses in symbolic computation, algebraic geometry, and algebraic analysis
- Includes supplementary material: sn.pub/extras
Part of the book series: Algorithms and Computation in Mathematics (AACIM, volume 6)
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Table of contents (5 chapters)
Reviews
".. The book is very well written and, despite the deep results it contains, it is easy to read. Each chapter provides good and nice examples illustrating all main notions. In the reviewer's opinion this book can be addressed not only to researchers but also to beginners in D-module theory and expecially in algorithmic D-module theory."
Francisco Jesus Castro-Jimenez, Mathematical Reviews, Issue 2001i
"In recent years the theory of Gröbner bases has found several applications in various fields of symbolic computations, in particular in applications related to combinatorics. (...) The book is well written. (...) The monograph requires a consequent reading in order to discover all the beauties and the surprising connections between several different branches of mathematics, coming together in the text. This book contains a number of original research results on holonomic systems and hypergeometric functions. The reviewer is sure that it will be the standard reference for computational aspects and research on D-modules in the future. It raises many open problems for future work in this area.
(Zentralblatt für Mathematik und ihre Grenzgebiete 0946.13021)
"... The book is very well written and, despite the deep results it contains, it is easy to read. Each chapter provides good and nice examples illustrating all main notions. In the reviewer's opinion this book can be addressed not only to reearchers but also to beginners in D-module theory and especially in algorithmic D-module theory."
(F. J. Castro-Jimenez, Mathematical Reviews 2002)
Authors and Affiliations
Bibliographic Information
Book Title: Gröbner Deformations of Hypergeometric Differential Equations
Authors: Mutsumi Saito, Bernd Sturmfels, Nobuki Takayama
Series Title: Algorithms and Computation in Mathematics
DOI: https://doi.org/10.1007/978-3-662-04112-3
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2000
Hardcover ISBN: 978-3-540-66065-1Published: 12 November 1999
Softcover ISBN: 978-3-642-08534-5Published: 14 August 2011
eBook ISBN: 978-3-662-04112-3Published: 09 March 2013
Series ISSN: 1431-1550
Edition Number: 1
Number of Pages: VIII, 254
Number of Illustrations: 5 b/w illustrations
Topics: Analysis, Computational Mathematics and Numerical Analysis, Algorithms, Algebraic Geometry, Theoretical, Mathematical and Computational Physics, Combinatorics