By J. A. Schouten
In its easiest shape, the Pfaff challenge (formulated through Pfaff in 1819) involves choosing the maximal integrable manifold of a Pfaffian approach, i.e. of a approach of vector fields in $R^n$. This e-book supplies an answer of this challenge and discusses a number of generalizations, giving an basically entire remedy of the speculation because it was once recognized in 1949.
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