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

Renteln, Paul

Hardcover

ISBN 10: 1107042194 ISBN 13: 9781107042193

Publisher: Cambridge University Press, 2013

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 this title

Book Description

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 features over 250 detailed exercises and discusses a variety of applications.

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.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2013
• ISBN 10: 1107042194
• ISBN 13: 9781107042193
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 340