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Introduction to Topological Manifolds (Graduate Texts in Mathematics, No. 202) by John M. Lee is a nonfiction available to read on EtoBox.

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This book is an introduction to manifolds at the beginning graduate level. It contains the essential topological ideas that are needed for the further study of manifolds, particularly in the context of differential geometry, algebraic topology, and related fields. Its guiding philosophy is to develop these ideas rigorously but economically, with minimal prerequisites and plenty of geometric intuition. A course on manifolds differs from most other introductory mathematics graduate courses in that the subject matter is often completely unfamiliar. Unlike algebra and analysis, which all math majors see as undergraduates, manifolds enter the curriculum much later. It is even possible to get through an entire undergraduate mathematics education without ever hearing the word "manifold." Yet manifolds are part of the basic vocabulary of modern mathematics, and students need to know them as intimately as they know the integers, the real numbers, Euclidean spaces, groups, rings, and fields. In his beautifully-conceived Introduction, the author motivates the technical developments to follow by explaining some of the roles manifolds play in diverse branches of mathematics and physi

Who reads Introduction to Topological Manifolds (Graduate Texts in Mathematics, No. 202)?

Author

John M. Lee

Publisher

Springer London, Limited

Published

2000

Language

EN

ISBN

9780387950266

Category

nonfiction

Subjects

Mathematics, Stem