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Groebner Deformations of Hypergeometric Differential Equations, Algorithms and Computation in Mathematics, Volume 6 [Hardcover]

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Item description for Groebner Deformations of Hypergeometric Differential Equations, Algorithms and Computation in Mathematics, Volume 6 by Mutsumi Saito...

In recent years, new algorithms for dealing with rings of differential operators have been discovered and implemented. A main tool is the theory of Grbner bases, which is reexamined here from the point of view of geometric deformations. Perturbation techniques have a long tradition in analysis; Grbner deformations of left ideals in the Weyl algebra are the algebraic analogue to classical perturbation techniques. The algorithmic methods introduced here are particularly useful for studying the systems of multidimensional hypergeometric PDEs introduced by Gelfand, Kapranov and Zelevinsky. The Grbner deformation of these GKZ hypergeometric systems reduces problems concerning hypergeometric functions to questions about commutative monomial ideals, and leads to an unexpected interplay between analysis and combinatorics. This book contains a number of original research results on holonomic systems and hypergeometric functions, and raises many open problems for future research in this area.



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Item Specifications...


Pages   272
Est. Packaging Dimensions:   Length: 9.52" Width: 6.44" Height: 0.75"
Weight:   1.01 lbs.
Binding  Hardcover
Release Date   Jan 7, 2000
Publisher   Springer
ISBN  3540660658  
ISBN13  9783540660651  


Availability  85 units.
Availability accurate as of Mar 28, 2017 11:27.
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Product Categories

1Books > Special Features > New & Used Textbooks
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > Differential Equations
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
4Books > Subjects > Science > General
5Books > Subjects > Science > Mathematics > Applied > Differential Equations
6Books > Subjects > Science > Mathematics > General
7Books > Subjects > Science > Mathematics > Geometry & Topology > Algebraic Geometry
8Books > Subjects > Science > Mathematics > Mathematical Analysis



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