Author: Evelyne Tournier
Edition: First Edition
Binding: Hardcover
ISBN: 012696260X
Publisher: Academic Press
Edition: First Edition
Binding: Hardcover
ISBN: 012696260X
Publisher: Academic Press
Computer Algebra and differential equations
Computer Algebra & Differential Equations
The book provides a self-contained account of the formal theory of general, ie 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 Grbner 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-Khler theory. Special emphasis is put on a constructive approach leading to effective algorithms.
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