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

Renteln, Paul

Couverture rigide

ISBN 10 : 1107042194 ISBN 13 : 9781107042193

Editeur : Cambridge University Press, 2013

A propos du livre

Présentation de l'éditeur

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.

Biographie de l'auteur

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.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2013
• ISBN 10: 1107042194
• ISBN 13: 9781107042193
• Reliure: Relié
• Langue: anglais
• Nombre de pages: 340