Infinite-Dimensional Manifolds 1975 Lecture Notes
Infinite-Dimensional Manifolds 1975 Lecture Notes by Robert Geroch, published by Minkowski Institute Press on December 16, 2013, spans 138 pages and is presented in English. This work serves as a clear introduction to various essential topics in mathematical and theoretical physics, including Banach spaces, manifolds, and Riemannian geometry. Geroch’s approach emphasizes clarity, utilizing intuitive examples and over 60 figures to elucidate even the most abstract concepts.
Readers will find that the book is structured to facilitate self-study, with each chapter featuring examples and a set of problems in the Appendix. The content covers a broad spectrum of subjects, such as tensor products and partial differential equations, making it a valuable resource for those interested in the mathematical foundations of physics. This edition is designed to be accessible, providing a solid grounding in the principles that underpin advanced topics in science and mathematics.
Official synopsis Publisher
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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