Manifolds, Tensors, and Forms by Paul Renteln

Manifolds, Tensors, and Forms by Paul Renteln

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.

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.

SKU	Unavailable
ISBN 13	9781107042193
ISBN 10	1107042194
Title	Manifolds, Tensors, and Forms
Author	Paul Renteln
Condition	Unavailable
Publisher	Cambridge University Press
Year published	2013-11-21
Number of pages	340
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable