Infinite-Dimensional Manifolds: 1975 Lecture Notes by Robert Geroch (PDF)

Description

Robert Geroch’s lecture notes “Infinite-Dimensional Manifolds” provide a concise, clear, and helpful introduction to a wide range of subjects, which are essential in mathematical and theoretical physics – Banach spaces, open mapping theorem, splitting, bounded linear mappings, derivatives, mean value theorem, manifolds, mappings of manifolds, scalar and vector fields, tensor products, tensor spaces, natural tensors, tensor fields, tensor bundles, Lie derivatives, integral curves, geometry of Lie derivatives, exterior derivatives, derivative operators, partial differential equations, and Riemannian geometry. Like in his other books, Geroch explains even the most abstract concepts with the help of intuitive examples and many (over 60) figures. Like Geroch’s other books, this book too can be used for self-study since each chapter contains examples plus a set of problems given in the Appendix.

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Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I am still reading this but it is very interesting so far. Very interesting view of tensors, lie derivatives and other concepts. Well explained consistent and clear.

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