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Involution

Name: Involution
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 02108259
Price: 152.59 EUR
Availability: InStock
Author: Werner M. Seiler
ISBN: 9783642012860

The Formal Theory of Differential Equations and its Applications in Computer Algebra

Werner M. Seiler

Language

English

Book Hardback

Libristo code: 02108259

Publishers Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, November 2009

The book provides a self-contained account of the formal theory of general, i.e. also under- and ove... Full description

Libristo code: 02108259

373 b

152.59 € VAT included

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The book provides a self-contained account of the formal theory of general, i.e. also under- and overdetermined, systems of differential equations which in its central notion of involution combines geometric, algebraic, homological and combinatorial ideas. It presents for the first time in book form the theory of Pommaret bases, a special kind of Gröbner bases closely related to Koszul homology, and contains an extensive discussion of the existence and uniqueness of solutions of formally well-posed initial value problems and a novel presentation of Vessiot's dual version of the Cartan-Kähler theory. Special emphasis is put on a constructive approach leading to effective algorithms.