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Pfaff's problem and its generalizations

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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.

Author(s): J. A. Schouten
Series: AMS Chelsea Publishing
Publisher: American Mathematical Society
Year: 1969

Language: English
Pages: 559
City: Oxford