Manifolds, Tensors, and Forms: An Introduction for Mathematicians and Physicists

Paul Renteln

ISBN 10: 1107042194 / ISBN 13: 9781107042193

Published by Cambridge University Press, 2014

Spine is tight. Cover is slightly worn, particularly along edges. Inside is clean and unmarked. Seller Inventory # 1145962

Synopsis:

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. 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. 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. Solutions to the problems are available for instructors at www.cambridge.org/9781107042193.

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. He is also Visiting Associate in the Department of Mathematics, California Institute of Technology, where he conducts research into combinatorics.

Bibliographic Details

Title: Manifolds, Tensors, and Forms: An ...
Publisher: Cambridge University Press
Publication Date: 2014
Binding: Hard cover
Condition: Very good
Dust Jacket Condition: No jacket