By Mutsumi Saito, Bernd Sturmfels, Nobuki Takayama

The speculation of Gröbner bases is a chief device for facing earrings of differential operators. This e-book reexamines the concept that of Gröbner bases from the viewpoint of geometric deformations. The algorithmic equipment brought during this e-book are rather invaluable for learning the structures of multidimensional hypergeometric PDE's brought via Gelfand, Kapranov, and Zelevinsky. a few unique learn effects are inside the booklet, and plenty of open difficulties are raised for destiny study during this quickly becoming sector of computational arithmetic.

Show description

Read Online or Download Groebner Deformations of Hypergeometric Differential Equations, Algorithms and Computation in Mathematics, Volume 6 PDF

Best Combinatorics books

Bent Functions: Results and Applications to Cryptography

Bent features: effects and purposes to Cryptography deals a distinct survey of the gadgets of discrete arithmetic often called Boolean bent capabilities. As those maximal, nonlinear Boolean services and their generalizations have many theoretical and useful purposes in combinatorics, coding concept, and cryptography, the textual content offers an in depth survey in their major effects, offering a scientific review in their generalizations and purposes, and contemplating open difficulties in class and systematization of bent capabilities.

A First Course in Combinatorial Mathematics (Oxford Applied Mathematics and Computing Science Series)

Now in a brand new moment version, this quantity provides a transparent and concise remedy of an more and more very important department of arithmetic. a distinct introductory survey whole with easy-to-understand examples and pattern difficulties, this article contains details on such uncomplicated combinatorial instruments as recurrence family, producing capabilities, prevalence matrices, and the non-exclusion precept.

Winning Solutions (Problem Books in Mathematics)

This e-book presents the mathematical instruments and problem-solving event had to effectively compete in high-level challenge fixing competitions. every one part provides very important history details after which offers quite a few labored examples and workouts to assist bridge the distance among what the reader could already understand and what's required for high-level competitions.

Combinatorial Designs: A Tribute to Haim Hanani (Annals of Discrete Mathematics)

Haim Hanani pioneered the concepts for developing designs and the speculation of pairwise balanced designs, best on to Wilson's life Theorem. He additionally led the way in which within the research of resolvable designs, masking and packing difficulties, latin squares, 3-designs and different combinatorial configurations.

Additional info for Groebner Deformations of Hypergeometric Differential Equations, Algorithms and Computation in Mathematics, Volume 6

Show sample text content

Rated 4.84 of 5 – based on 9 votes