In recent years, new algorithms for dealing with rings of differential operators have been discovered and implemented. A main tool is the theory of Gr�bner bases, which is reexamined here from the point of view of geometric deformations. Perturbation techniques have a long tradition in analysis; Gr�bner 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 ...
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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 Gr�bner bases, which is reexamined here from the point of view of geometric deformations. Perturbation techniques have a long tradition in analysis; Gr�bner 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 Gr�bner 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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Add this copy of Groebner Deformations of Hypergeometric Differential to cart. $23.35, good condition, Sold by Greenworld Books rated 4.0 out of 5 stars, ships from Arlington, TX, UNITED STATES, published 1999 by Springer.
Edition:
1999, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
1999
Language:
English
Alibris ID:
18528706046
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Good condition book with a firm cover and clean readable pages. Shows normal use including some light wear or limited notes highlighting yet remains a dependable copy overall. Supplemental items like CDs or access codes may not be included.
Add this copy of Gr? Bner Deformations of Hypergeometric Differential to cart. $30.72, new condition, Sold by Media Smart rated 3.0 out of 5 stars, ships from Hawthorne, CA, UNITED STATES, published 1999 by Springer.
Edition:
1999, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Add this copy of Grobner Deformations of Hypergeometric Differential to cart. $38.74, new condition, Sold by discount_scientific_books rated 5.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 1999 by Springer-Verlag Berlin and Heidelberg GmbH & Co. K.
Edition:
1999, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Add this copy of Groebner Deformations of Hypergeometric Differential to cart. $50.16, new condition, Sold by discount_scientific_books rated 5.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES.
Edition:
1999, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Add this copy of Grobner Deformations of Hypergeometric Differential to cart. $52.90, new condition, Sold by discount_scientific_books rated 5.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 1999 by Springer-Verlag Berlin and Heidelberg GmbH & Co. K.
Edition:
1999, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
