Front cover image for Involution The Formal Theory of Differential Equations and its Applications in Computer Algebra

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

Werner M. Seiler (Author)
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
eBook, English, 2010
1st ed. 2010 View all formats and editions
Springer Berlin Heidelberg : Imprint: Springer, Berlin, Heidelberg, 2010