Pfaff's Problem and Its Generalizations

Inbunden, Engelska, 1969

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Beskrivning

In its simplest form, the Pfaff problem (formulated by Pfaff in 1819) consists of determining the maximal integrable manifold of a Pfaffian system, i.e. of a system of vector fields in $R^n$. This book gives a solution of this problem and discusses various generalizations, giving an essentially complete treatment of the theory as it was known in 1949.

Produktinformation

Utgivningsdatum:1969-01-30
Vikt:765 g
Format:Inbunden
Språk:Engelska
Serie:Chelsea Publications
Förlag:American Mathematical Society
ISBN:9780828402217

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Innehållsförteckning

Algebraic preliminaries Analytical preliminaries The outer problem Classification of covariant vector fields and pfaffians The simplest arithmetic invariants of covariant $q$-vector fields Contact transformations Theory of vector manifolds and element manifolds The inner problem Theory of $\mathfrak {S}^m_d$-fields Solution of systems of differential equations Table of operations Suggestions for the solution of exercises Bibliography Index.