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Introduction to Smooth Manifolds (Graduate Texts in Mathematics) by John M. Lee is a nonfiction available to read on EtoBox.

What is Introduction to Smooth Manifolds (Graduate Texts in Mathematics) about?

<p><P>This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research&#151;- smooth structures, tangent vectors and covectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms, de Rham cohomology, vector fields, flows, foliations, Lie derivatives, Lie groups, Lie algebras, and more. The approach is as concrete as possible, with pictures and intuitive discussions of how one should think geometrically about the abstract concepts, while making full use of the powerful tools that modern mathematics has to offer. Along the way, the book introduces students to some of the most important examples of geometric structures that manifolds can carry, such as Riemannian metrics, symplectic structures, and foliations. The book is aimed at students who already have a solid acquaintance with general topology, the fundamental group, and covering spaces, as well as basic undergraduate linear algebra and real analysis. John M. Lee is Professor of Mathematics at the University of Washington in Seattle, where he regular

Who reads Introduction to Smooth Manifolds (Graduate Texts in Mathematics)?

Author

John M. Lee

Publisher

Springer-Verlag Telos

Published

2002

Language

EN

ISBN

9780387954486

Category

nonfiction

Subjects

Mathematics, Stem