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Description of  Exterior Differential Systems and the Calculus of Variations (Progress in Mathematics, Vol. 25)

Exterior Differential Systems and the Calculus of rnVariations gives a presentation of the calculus of var- rniations for functionals defined on integral manifolds rnof exterior differential systems. The theory of differ- rnential systems is used both to provide the theoretical rnbackground, and to work out the numerous examples rndrawn from differential geometry and mechanics. The rnsubject material lies at the confluence of several of the rnmost active areas of mathematics, and, because of the rnemphasis on examples and explicit solutions to special rnproblems using general techniques, may be especially rnuseful to students.