This book gives a treatment of exterior differential systems. It will in- clude both the general theory and various applications. An exterior differential system is a system of equations on a manifold defined by equating to zero a number of exterior differential forms. When all the forms are linear, it is called a pfaffian system. Our object is to study its integral manifolds, i. e., submanifolds satisfying all the equations of the system. A fundamental...
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Differential Equations Geometry & Topology Math Mathematics Science & Math Topology