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  1. Home
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  3. Manifolds, Tensors, and Forms
  • Cited by 18
Publisher:
Cambridge University Press
Online publication date:
June 2014
Print publication year:
2013
Online ISBN:
9781107324893
DOI:
https://doi.org/10.1017/CBO9781107324893
Subjects:
Mathematics, Physics and Astronomy, Mathematical Methods, Geometry and Topology
Information

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. 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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Contents

Contents
References
References
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