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Two Algebraic Byways from Differential Equations: Groebner Bases and Quivers (Hardcover, 1st ed. 2020) Loot Price: R3,272
Discovery Miles 32 720
Two Algebraic Byways from Differential Equations: Groebner Bases and Quivers (Hardcover, 1st ed. 2020): Kenji Iohara, Philippe...

Two Algebraic Byways from Differential Equations: Groebner Bases and Quivers (Hardcover, 1st ed. 2020)

Kenji Iohara, Philippe Malbos, Masa-Hiko Saito, Nobuki Takayama

Series: Algorithms and Computation in Mathematics, 28

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Loot Price R3,272 Discovery Miles 32 720 | Repayment Terms: R307 pm x 12*

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This edited volume presents a fascinating collection of lecture notes focusing on differential equations from two viewpoints: formal calculus (through the theory of Groebner bases) and geometry (via quiver theory). Groebner bases serve as effective models for computation in algebras of various types. Although the theory of Groebner bases was developed in the second half of the 20th 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 Groebner bases in their commutative and noncommutative contexts, with a focus on algorithmic aspects and applications of Groebner bases to analysis on 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.

General

Imprint: Springer Nature Switzerland AG
Country of origin: Switzerland
Series: Algorithms and Computation in Mathematics, 28
Release date: February 2020
First published: 2020
Editors: Kenji Iohara • Philippe Malbos • Masa-Hiko Saito • Nobuki Takayama
Dimensions: 235 x 155mm (L x W)
Format: Hardcover
Pages: 371
Edition: 1st ed. 2020
ISBN-13: 978-3-03-026453-6
Categories: Books > Science & Mathematics > Mathematics > Mathematical foundations > General
Books > Science & Mathematics > Mathematics > Algebra > General
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
LSN: 3-03-026453-X
Barcode: 9783030264536

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