Manifolds, Tensors, and Forms: An Introduction for

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

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.
Country USA
Brand Cambridge University Press
Manufacturer Cambridge University Press
Binding Hardcover
ItemPartNumber 20838937
UnitCount 1
UPCs 884990635387
EANs 9781107042193
ReleaseDate 0000-00-00

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