This edited volume presents a fascinating collection of lecture notes focusing on differential equations from two viewpoints: formal calculus (through the theory of Gr???bner bases) and geometry (via quiver theory). Gr???bner bases serve as effective models for computation in algebras of various types. Although the theory of Gr???bner 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 ...
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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 Gr???bner bases) and geometry (via quiver theory). Gr???bner bases serve as effective models for computation in algebras of various types. Although the theory of Gr???bner 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 Gr???bner bases in their commutative and noncommutative contexts, with a focus on algorithmic aspects and applications of Gr???bner 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.
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Add this copy of Two Algebraic Byways From Differential Equations: Gr? to cart. $105.55, new condition, Sold by Media Smart rated 4.0 out of 5 stars, ships from Hawthorne, CA, UNITED STATES, published 2021 by Springer.
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New. Print on demand Trade paperback (US). Glued binding. 371 p. Contains: Unspecified, Illustrations, black & white, Illustrations, color. Algorithms and Computation in Mathematics, 28.
Add this copy of Two Algebraic Byways from Differential Equations: Gr to cart. $121.72, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2020 by Springer Nature Switzerland AG.
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New. Print on demand Contains: Illustrations, black & white, Illustrations, color. Algorithms and Computation in Mathematics . XI, 371 p. 56 illus., 1 illus. in color. Intended for professional and scholarly audience.
Add this copy of Two Algebraic Byways From Differential Equations: Gr to cart. $199.41, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2020 by Springer.
