Геометрия

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Advanced Differential Geometry for Theoreticians

Автор: Gennadi Sardanashvily
Год: 2013
Издание: LAP Lambert Academic Publishing
Страниц: 220
ISBN: 9783659378157
In contrast with quantum theory, classical field theory can be formulated in a strict mathematical way by treating classical fields and dynamic variables as sections of smooth fiber bundles. This book aims to compile the relevant material on fiber bundles, jet manifolds, connections, graded manifolds and Lagrangian theory. The book is based on the graduate and post graduate courses of lectures given at the Department of Theoretical Physics of Moscow State University (Russia). It addresses to a wide audience of mathematicians, mathematical physicists and theoreticians.
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