Advanced Differential Geometry for Theoreticians - Sardanashvily, Gennadi
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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.

Produktbeschreibung
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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Autorenporträt
Gennadi Sardanashvily, theoretician and mathematical physicist, graduated from Moscow State University in 1973, Ph.D. (1980) and D.Sc. (1998), Principal research scientist at the Department of Theoretical Physics of Moscow State University, published more than 300 scientific works and 23 text books and monographs.