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(By J. A. Schouten)



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Format: DJVU

Language: English

Publisher: American Mathematical Society



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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