Can I read Manifolds and Differential Geometry (Graduate Studies in Mathematics, 107) on EtoBox?

Manifolds and Differential Geometry (Graduate Studies in Mathematics, 107) by Jeffrey M. Lee is a nonfiction available to read on EtoBox.

What is Manifolds and Differential Geometry (Graduate Studies in Mathematics, 107) about?

"Differential geometry began as the study of curves and surfaces using the methods of calculus. In time, the notions of curve and surface were generalized along with associated notions such as length, volume, and curvature. At the same time the topic has become closely allied with developments in topology. The basic object is a smooth manifold, to which some extra structure has been attached, such as a Riemannian metric, a symplectic form, a distinguished group of symmetries, or a connection on the tangent bundle. This book is a graduate-level introduction to the tools and structures of modern differential geometry. Included are the topics usually found in a course on differentiable manifolds, such as vector bundles, tensors, differential forms, de Rham cohomology, the Frobenius theorem and basic Lie group theory. The book also contains material on the general theory of connections on vector bundles and an in-depth chapter on semi-Riemannian geometry that covers basic material about Riemannian manifolds and Lorentz manifolds. An unusual feature of the book is the inclusion of an early chapter on the differential geometry of hypersurfaces in Euclidean space. There is also a section

Who reads Manifolds and Differential Geometry (Graduate Studies in Mathematics, 107)?

Author

Jeffrey M. Lee

Publisher

American Mathematical Society; Brand: American Mathematical Society

Published

2009

Language

EN

ISBN

9781470469825

Category

nonfiction

Subjects

Mathematics, Stem