2011, ISBN: 3642085342

[EAN: 9783642085345], Neubuch, [PU: Springer Berlin Heidelberg], GRÖBNERBASEN; GRÖBNERBASES; HYPERGEOMETRICFUNCTION; HYPERGEOMETRISCHEFUNKTIONEN; WEYLALGEBRA; COMBINATORIALCOMMUTATIVEALGE… Meer...

[EAN: 9783642085345], Neubuch, [PU: Springer Berlin Heidelberg], GRÖBNERBASEN; GRÖBNERBASES; HYPERGEOMETRICFUNCTION; HYPERGEOMETRISCHEFUNKTIONEN; WEYLALGEBRA; COMBINATORIALCOMMUTATIVEALGEBRA; DIFFERENTIALEQUATION; HOLONOMESYSTEME; HOLONOMICSYSTEMS; HYPERGEOMETRICFUNCTIONS; KOMBINATORISCHEKOMMUTATIVEALGEBRA; COMBINATORICS, Druck auf Anfrage Neuware -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. 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 in this book are particularly useful for studying the systems of multidimensional hypergeometric partial differentiel equations introduced by Gel'fand, Kapranov and Zelevinsky. The Gröbner deformation of these GKZ hypergeometric systems reduces problems concerning hypergeometric functions to questions about commutative monomial ideals, and thus 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 it raises many open problems for future research in this rapidly growing area of computational mathematics ' 264 pp. Englisch, Books<

2014, ISBN: 9783642085345

[ED: Taschenbuch], [PU: Springer Berlin Heidelberg], Neuware - The theory of Gröbner bases is a main tool for dealing with rings of differential operators. This book reexamines the concep… Meer...

[ED: Taschenbuch], [PU: Springer Berlin Heidelberg], Neuware - 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. 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 in this book are particularly useful for studying the systems of multidimensional hypergeometric partial differentiel equations introduced by Gel'fand, Kapranov and Zelevinsky. The Gröbner deformation of these GKZ hypergeometric systems reduces problems concerning hypergeometric functions to questions about commutative monomial ideals, and thus 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 it raises many open problems for future research in this rapidly growing area of computational mathematics '- Besorgungstitel - vorauss. Lieferzeit 3-5 Tage., DE, [SC: 2.40], Neuware, gewerbliches Angebot, 235x155x14 mm, 264, [GW: 406g], Banküberweisung, Offene Rechnung, Kreditkarte, PayPal, Offene Rechnung (Vorkasse vorbehalten), Internationaler Versand<

2011, ISBN: 3642085342

Softcover reprint of the original 1st ed. 2000 Kartoniert / Broschiert Diskrete Mathematik, Mathematische Analysis, allgemein, Algebraische Geometrie, Mathematische Physik, Algorithmen … Meer...

Softcover reprint of the original 1st ed. 2000 Kartoniert / Broschiert Diskrete Mathematik, Mathematische Analysis, allgemein, Algebraische Geometrie, Mathematische Physik, Algorithmen und Datenstrukturen, GröbnerBasen; Gröbnerbases; Hypergeometricfunction; HypergeometrischeFunktionen; Weylalgebra; combinatorialcommutativealgebra; differentialequation; holonomeSysteme; holonomicsystems; hypergeometricfunctions; kombinatorischekommutativeAlgebra; combinatorics, mit Schutzumschlag 11, [PU:Springer Berlin Heidelberg; Springer-Verlag GmbH]<

2011, ISBN: 9783642085345

Springer, Taschenbuch, Auflage: Softcover reprint of the original 1st ed. 2000, 264 Seiten, Publiziert: 2011-08-14T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 5 black & white illustra… Meer...

Springer, Taschenbuch, Auflage: Softcover reprint of the original 1st ed. 2000, 264 Seiten, Publiziert: 2011-08-14T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 5 black & white illustrations, biography, 0.83 kg, Verkaufsrang: 2059, Algorithmen, Programmierung & Webdesign, Computer & Internet, Kategorien, Bücher, Geometrie, Naturwissenschaft & Mathematik, Fachbücher, Naturwissenschaften & Technik, Mathematische Physik, Springer, 2011<