Manifolds, Tensors, and Forms: An Introduction for Mathematicians and Physicists
| Author | : | |
| Rating | : | 4.42 (902 Votes) |
| Asin | : | 1107042194 |
| Format Type | : | paperback |
| Number of Pages | : | 340 Pages |
| Publish Date | : | 2016-11-23 |
| Language | : | English |
DESCRIPTION:
Paul Renteln is Professor of Physics in the Department of Physics, California State University, San Bernardino, where he has taught a wide range of courses in physics. . He is also Visiting Associate in the Department of Mathematics, California Institute of Technology, where he conducts research into combinatorics
He is also Visiting Associate in the Department of Mathematics, California Institute of Technology, where he conducts research into combinatorics. About the Author Paul Renteln is Professor of Physics in the Department of Physics, California State University, San Bernardino, where he has taught a wide range of courses in physics.
Great intuition, efficient notation, a joy to read. On the face of things you might agree with the other reviewers that this covers the same topics as other similar texts however, to compare this book with another just on the basis of a table of contents is absurd. This book is efficient. The author's definitions and notation are superior to many other texts. The notation and typesetting is modern, crisp, a joy to read. This book is like the text of Flander's in it's ambition to exhibit the power of differential form calculation. But, havi. A strong background in abstract and linear algebra is recommended but not required Gabe Jurado Straight to the point textbook for the mathematically inclined physicist. With respect to the first three chapters, you will encounter more of the theory which builds the foundation for application in the succeeding chapters. A strong background in abstract and linear algebra is recommended but not required. This book provides experienced insight into the relationship between physics and mathematical theory through numerous exercises, necessary examples, and thought provoking hints.. Looks like just another terse differential geometry book A. Ali Looks like just another terse differential geometry book. I don't see anything novel in either ideas or presentation. For price I would stick with Bishop and Goldberg as it's equally terse but far cheaper. For exposition I would go with Suhubi's "Exterior Analysis" as the author discusses the ideas carefully, with worked examples.
Solutions to the problems are available for instructors at cambridge/9781107042193.. Providing a succinct yet comprehensive treatment of the essentials of modern differential geometry and topology, this book's clear prose and informal style make it accessible to advanced undergraduate and graduate students in mathematics and the physical sciences. It also features over 250 detailed exercises, and a variety of applications revealing fundamental connections to classical mechanics, electromagnetism (including circuit theory), general relativity and gauge theory. The text covers the basics of multilinear algebra, differentiation and integration on manifolds, Lie groups and Lie algebras, homotopy and de Rham cohomology, homology, vector bundles, Riemannian and pseudo-Riemannian geometry, and degree theory