Kniha Involution Werner M. Seiler

Involution

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

Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 10-13 dnů
3 426
The book provides a self-contained account of the formal theory of general, i.e. also under- and ove...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2009
Stránek
650
EAN
9783642012860
ISBN
3642012868
Enbook ID
02108259
Hmotnost
1285
Rozměry
155 x 235 x 45

Kompletní popis

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.

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