Manifolds, tensors, and forms : an introduction for mathematicians and physicists
 Responsibility
 Paul Renteln.
 Language
 English.
 Publication
 Cambridge, UK ; New York : Cambridge University Press, 2014.
 Physical description
 xii, 329 pages : illustrations ; 26 cm
Access
Available online
Math & Statistics Library
Stacks
Call number  Status 

QA641 .R46 2014  Unknown 
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Creators/Contributors
 Author/Creator
 Renteln, Paul, 1959 author.
Contents/Summary
 Bibliography
 Includes bibliographical references (pages 317320) and index.
 Contents

 Preface 1. Linear algebra 2. Multilinear algebra 3. Differentiation on manifolds 4. Homotopy and de Rham cohomology 5. Elementary homology theory 6. Integration on manifolds 7. Vector bundles 8. Geometric manifolds 9. The degree of a smooth map Appendixes References Index.
 (source: Nielsen Book Data)
 Publisher's Summary
 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 pseudoRiemannian 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.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2014
 ISBN
 9781107042193 (alk. paper)
 1107042194 (alk. paper)