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The book is devoted to recent research in the global variational theory on smooth manifolds. Its main objective is an extension of the classical variational calculus on Euclidean spaces to (topologically nontrivial) finite-dimensional smooth manifolds; to this purpose...
This is a comprehensive exposition of topics covered by the American Mathematical Society's classification "Global Analysis, dealing with modern developments in calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers...
This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet...
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