Logo - springer
Slogan - springer

Mathematics - Geometry & Topology | An Introduction to Manifolds

An Introduction to Manifolds

Series: Universitext

Tu, Loring W.

2nd ed. 2011, XVIII, 410p. 124 illus., 1 illus. in color.

Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$39.95

(net) price for USA

ISBN 978-1-4419-7400-6

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase


learn more about Springer eBooks

add to marked items

Softcover
Information

Softcover (also known as softback) version.

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$59.95

(net) price for USA

ISBN 978-1-4419-7399-3

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

  • Includes an extensive bibliography with added historical references
  • Provides hints and solutions for selected exercises making this book ideal for self-study
  • Improves upon an already successful first edition
  • Provides a comprehensive understanding of a large body of important mathematics in geometry and topology
Manifolds, the higher-dimensional analogues of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory. In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book the reader should be able to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its de Rham cohomology. Along the way the reader acquires the knowledge and skills necessary for further study of geometry and topology. The second edition contains fifty pages of new material. Many passages have been rewritten, proofs simplified, and new examples and exercises added. This work may be used as a textbook for a one-semester graduate or advanced undergraduate course, as well as by students engaged in self-study. The requisite point-set topology is included in an appendix of twenty-five pages; other appendices review facts from real analysis and linear algebra. Hints and solutions are provided to many of the exercises and problems. Requiring only minimal undergraduate prerequisites, "An Introduction to Manifolds" is also an excellent foundation for the author's publication with Raoul Bott, "Differential Forms in Algebraic Topology."

Content Level » Graduate

Keywords » De Rham Theory - Euclidean spaces - Lie algebras - Lie groups - algebraic geometry - degeneracy loci - differential forms - differential geometry - geometric topology - geometry of manifolds - manifolds - tangent space

Related subjects » Analysis - Geometry & Topology

Table of contents / Preface / Sample pages 

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Manifolds and Cell Complexes (incl. Diff. Topology).