Manifolds, Tensors, and Forms: An Introduction for Mathematicians and Physicists

Book Name: Manifolds, Tensors, and Forms: An Introduction for Mathematicians and Physicists
Author: Renteln P
Publisher: Cambridge University Press
ISBN-10: 978-1-107-04219-3
Year: 2013
Pages: 343
Language: English
File size: 6 Mb
File format: PDF

Manifolds, Tensors, and Forms: An Introduction for Mathematicians and Physicists Pdf Book Description:

Supplying a succinct yet comprehensive treatment of the principles of modern differential geometry and topology, this book’s clear prose and casual design make it available to advanced undergraduate and graduate students in math and the physical sciences.

The text covers the fundamentals 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 level theory. Additionally, it includes over 250 comprehensive exercises, along with many different applications showing basic connections to classical mechanics, electromagnetism (like circuit concept ), general relativity and gauge theory.