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Can I read Groebner Deformations of Hypergeometric Differential Equations, Algorithms and Computation in Mathematics, Volume 6 (Algorithms and Computation in Mathematics (6)) on EtoBox?
Groebner Deformations of Hypergeometric Differential Equations, Algorithms and Computation in Mathematics, Volume 6 (Algorithms and Computation in Mathematics (6)) by Mutsumi Saito, Bernd Sturmfels, Nobuki Takayama, Mutsumi Saito is a nonfiction available to read on EtoBox.
What is Groebner Deformations of Hypergeometric Differential Equations, Algorithms and Computation in Mathematics, Volume 6 (Algorithms and Computation in Mathematics (6)) about?
In recent years, new algorithms for dealing with rings of differential operators have been discovered and implemented. A main tool is the theory of Groebner bases, which is reexamined here from the point of view of geometric deformations. Perturbation techniques have a long tradition in analysis; Groebner 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 Groebner 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.
Who reads Groebner Deformations of Hypergeometric Differential Equations, Algorithms and Computation in Mathematics, Volume 6 (Algorithms and Computation in Mathematics (6))?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Mutsumi Saito, Bernd Sturmfels, Nobuki Takayama, Mutsumi Saito
- Publisher
- Springer Berlin
- Published
- 2000
- Language
- EN
- ISBN
- 9783540660651
- Category
- nonfiction
- Subjects
- Mathematics, Computer Science, Science
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