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 .
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EAN: 9781107042193
UPC: 9781107042193
ISBN: 9781107042193
MPN: N/A
Book Title: Manifolds, Tensors, and Forms: An Introduction for
Item Length: 24.6 cm
Number of Pages: 340 Pages
Publication Name: Manifolds, Tensors, and Forms: an Introduction for Mathematicians and Physicists
Language: English
Publisher: Cambridge University Press
Item Height: 246 mm
Subject: Mathematics, Physics
Publication Year: 2013
Type: Textbook
Item Weight: 770 g
Author: Paul Renteln
Item Width: 170 mm
Format: Hardcover