Manifolds, Tensors, and Forms An Introduction for Mathematicians and Physicists By: Paul Renteln Publisher: Cambridge University Press Print ISBN: 9781107042193, 1107042194 eText ISBN: 9781107703131, 1107703131 Edition: 1st Format: EPUB Available from $ 60.00 USD SKU: 9781107703131 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. Additional ISBNs 9781107597075, 1107597072 SKU: 9781107042193 Ebooks here: https://ebookscoffee.sellpass.io/products/Manifolds-Tensors-and-Forms