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

Renteln, Paul

ISBN 10: 1107042194 / ISBN 13: 9781107042193

Published by Cambridge University Press, 2013

About this Item

Seller Inventory # I-9781107042193

Bibliographic Details

Title: Manifolds, Tensors, and Forms: An ...

Publisher: Cambridge University Press

Publication Date: 2013

Binding: Hardcover

Condition: New

About this title

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.

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.