Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers
| Author | : | |
| Rating | : | 4.57 (669 Votes) |
| Asin | : | 904813563X |
| Format Type | : | paperback |
| Number of Pages | : | 453 Pages |
| Publish Date | : | 2015-01-23 |
| Language | : | English |
DESCRIPTION:
"A Unique and Invaluable Resource for Differential Geometry and General Relativity." according to Chris J.. For the last few months I have been struggling through Robert Wald's General Relativity and the appendices in Sean Carroll's Spacetime and Geometry in an attempt to start learning the mathematical formalism of General Relativity (As opposed to the "here is the answer, the derivation and p. raymund aglipay said This book rocks like Newton and Gauss.. Man, this is a very instructional manual that can help just about anyone having problems learning differential geometry. I give it two tangent vectors up.
The book includes 50 figures. The exercises go from elementary computations to rather sophisticated tools. Audience: The book will be useful to advanced undergraduate and graduate students of mathematics, theoretical physics, and some branches of engineering.. It is the first book consisting of completely solved problems on differentiable manifolds, and therefore will be a complement to the books on theory. A 42-page formulary is included which will be useful as an aide-mémoire, especially for teachers and researchers on these topics. This book is a collection of 375 completely solved exercises on differentiable manifolds, Lie groups, fibre bundles, and Riemannian manifolds
The material included here will help many teachers to improve their course material as well as students to come to grips with the necessary abstractions of the field.” (M. … There is a very useful collection of formulas and tables at the end of the book.” (Thomas Püttmann, Zentralblatt MATH, Vol. … helpful to anyone who needs to acquire a solid working technique in these fields and to students who have problems to illustrate concepts, methods, and theorems by examples. From the reviews: “This is a collection of solved problems on differentiable manifolds, Lie groups, and Riemannian geometry. 1183, 2010) “The present book provides a remedy for this dilemma, and does so in a very convincing manner. … use it as a source of homework or exam exercises.” (Peter J. … Supplementary material at the end of the book includes a terse review of definitions, terminology, notation, and background
He is currently a scientific researcher at the Instituto de Seguridad de la Información (ISI), CSIC, Madrid, Spain. Gadea taught at the Universities of Santiago de Compostela and Valladolid, Spain. He is a co-author of two monographs on these topics. Outside of mathematics, his chief interests is