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Manifolds, Tensors, and Forms - by Paul Renteln (Hardcover)

CTNR897451 09781107042193 CTNR897451

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2026-07-08 USD 81.08

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Manifolds, Tensors, and Forms - by  Paul Renteln (Hardcover)
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Number of Pages: 340
Genre: Science
Sub-Genre: Physics
Format: Hardcover
Publisher: Cambridge University Press
Age Range: Adult
Book theme: Mathematical & Computational
Author: Paul Renteln
Language: English



About the Book



Comprehensive treatment of the essentials of modern differential geometry and topology for graduate students in mathematics and the physical sciences.



Book 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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