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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Arithmetik & Algebra Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers
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Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers
(Gebundene Ausgabe, Englisch)
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Beschreibung
This edited volume presents a fascinating collection of lecture notes focusing on differential equations from two viewpoints: formal calculus (through the theory of Gröbner bases) and geometry (via quiver theory). Gröbner bases serve as effective models for computation in algebras of various types. Although the theory of Gröbner bases was developed in the second half of the 20 th century, many… works on computational methods in algebra were published well before the introduction of the modern algebraic language. Since then, new algorithms have been developed and the theory itself has greatly expanded. In comparison, diagrammatic methods in representation theory are relatively new, with the quiver varieties only being introduced – with big impact – in the 1990s. Divided into two parts, the book first discusses the theory of Gröbner bases in their commutative and noncommutative contexts, with a focus on algorithmic aspects and applications of Gröbner bases to analysison systems of partial differential equations, effective analysis on rings of differential operators, and homological algebra. It then introduces representations of quivers, quiver varieties and their applications to the moduli spaces of meromorphic connections on the complex projective line. While no particular reader background is assumed, the book is intended for graduate students in mathematics, engineering and related fields, as well as researchers and scholars. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
21.02.2020
Sprache
Englisch
EAN
9783030264536
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Algorithms and Computation in Mathematics
Sonderedition
Nein
Seitenanzahl
371
Auflage
1st edition 2019
Einbandart
Gebundene Ausgabe
Schlagwörter
commutative and noncommutative Gröbner bases, D-modules, B-functions, quiver varieties, moduli spaces, meromorphic connections, ordinary differential equations, partial differential equations
Thema-Inhalt
PBF - Algebra
PBMW - Algebraische Geometrie
PBKJ - Differentialrechnung und -gleichungen
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Birkhäuser, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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