Author : Robert Geroch
Release : 2013-12-16
Genre : Mathematics
Kind : eBook
Book Rating : 169/5 ( reviews)
GET EBOOK
Book Synopsis Infinite-Dimensional Manifolds by : Robert Geroch
Download or read book Infinite-Dimensional Manifolds written by Robert Geroch. This book was released on 2013-12-16. Available in PDF, EPUB and Kindle. Book excerpt: 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.