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

Renteln, Paul

 
9781107042193: Manifolds, Tensors, and Forms: An Introduction for Mathematicians and Physicists
Couverture rigide
ISBN 10 : 1107042194 ISBN 13 : 9781107042193
Editeur : 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.

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À propos 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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2013
Langue
anglais
ISBN 10 
1107042194
ISBN 13 
9781107042193
Reliure
Relié
Nombre de pages
340
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

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