Infinite-Dimensional Manifolds: 1975 Lecture Notes (Paperback) (ISBN-13: 9781927763155)

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.

Author: Robert Geroch
ISBN-10: 1927763150
ISBN-13: 9781927763155
Publisher: Minkowski Institute Press
Language: English
Published: 12/16/2013
Pages: 138
Format: Paperback
Weight: 0.43lbs
Size: 9.00h x 6.00w x 0.30d