Mutsumi Saito,
Bernd Sturmfels,
Nobuki Takayama
Gröbner Deformations of Hypergeometric Differential Equations
Paperback Engels 2011 9783642085345
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
The theory of Gröbner bases is a main tool for dealing with rings of differential operators. This book reexamines the concept of Gröbner bases from the point of view of geometric deformations. The algorithmic methods introduced in this book are particularly useful for studying the systems of multidimensional hypergeometric PDE's introduced by Gelfand, Kapranov, and Zelevinsky. A number of original research results are contained in the book, and many open problems are raised for future research in this rapidly growing area of computational mathematics.
Specificaties
ISBN13:9783642085345
Taal:Engels
Bindwijze:paperback
Aantal pagina's:254
Uitgever:Springer Berlin Heidelberg
Druk:0
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Inhoudsopgave
1. Basic Notions.- 2. Solving Regular Holonomic Systems.- 3. Hypergeometric Series.- 4. Rank versus Volume.- 5. Integration of D-modules.- References.
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