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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations

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Groebner Deformations of Hypergeometric Differential Equations (Hardcover, 2000 ed.) Loot Price: R1,170
Discovery Miles 11 700
You Save: R175 (13%)
Groebner Deformations of Hypergeometric Differential Equations (Hardcover, 2000 ed.): Mutsumi Saito, Bernd Sturmfels, Nobuki...

Groebner Deformations of Hypergeometric Differential Equations (Hardcover, 2000 ed.)

Mutsumi Saito, Bernd Sturmfels, Nobuki Takayama

Series: Algorithms and Computation in Mathematics, 6

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List price R1,345 Loot Price R1,170 Discovery Miles 11 700 | Repayment Terms: R109 pm x 12* You Save R175 (13%)

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In recent years, new algorithms for dealing with rings of differential operators have been discovered and implemented. A main tool is the theory of Gröbner bases, which is reexamined here from the point of view of geometric deformations. Perturbation techniques have a long tradition in analysis; Gröbner 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 Gröbner 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.

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Algorithms and Computation in Mathematics, 6
Release date: November 1999
First published: 2000
Authors: Mutsumi Saito • Bernd Sturmfels • Nobuki Takayama
Dimensions: 235 x 155 x 15mm (L x W x T)
Format: Hardcover
Pages: 254
Edition: 2000 ed.
ISBN-13: 978-3-540-66065-1
Categories: Books > Science & Mathematics > Mathematics
Books > Computing & IT > General theory of computing
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis
Books > Science & Mathematics > Mathematics > Geometry
Books > Computing & IT > General theory of computing > Mathematical theory of computation
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
LSN: 3-540-66065-8
Barcode: 9783540660651

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