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Pfaff's problem and its generalizations

Обложка книги Pfaff's problem and its generalizations

Pfaff's problem and its generalizations

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.
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