About this product

Product Information

Manifolds, the higher-dimensional analogs 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 kwledge and skills necessary for further study of geometry and topology. The requisite point-set topology is included in an appendix of twenty pages; other appendices review facts from real analysis and linear algebra. Hints and solutions are provided to many of the exercises and problems. This work may be used as the text for a one-semester graduate or advanced undergraduate course, as well as by students engaged in self-study. Requiring only minimal undergraduate prerequisites, 'Introduction to Manifolds' is also an excellent foundation for Springer's GTM 82, 'Differential Forms in Algebraic Topology'.

Product Identifiers

PublisherSpringer-Verlag New York Inc.

ISBN-101441973990

ISBN-139781441973993

eBay Product ID (ePID)106442688

Product Key Features

Number of PagesXviii, 410 Pages

Publication NameIntroduction to Manifolds

LanguageEnglish & English

Publication Year2010

SubjectMathematics

TypeTextbook

AuthorLoring W. Tu

Subject AreaMathematics

SeriesUniversitext Ser.

FormatPaperback

Dimensions

Item Weight23.2 Oz

Item Length9.3 in

Item Width6.1 in

Height235mm

Width155mm

Weight658g

Additional Product Features

Date of Publication06/10/2010

Edition Number2

Intended AudienceScholarly & Professional

Place of PublicationNew York, NY

Spine23mm

Series TitleUniversitext

GenreMathematics

Country of PublicationUnited States

Author BiographyLoring W. Tu was born in Taipei, Taiwan, and grew up in Taiwan,Canada, and the United States. He attended McGill University and Princeton University as an undergraduate, and obtained his Ph.D. from Harvard University under the supervision of Phillip A. Griffiths. He has taught at the University of Michigan, Ann Arbor, and at Johns Hopkins University, and is currently Professor of Mathematics at Tufts University in Massachusetts. An algebraic geometer by training, he has done research at the interface of algebraic geometry,topology, and differential geometry, including Hodge theory, degeneracy loci, moduli spaces of vector bundles, and equivariant cohomology. He is the coauthor with Raoul Bott of Differential Forms in Algebraic Topology.

Content Note123 Black & White Illustrations, 1 Colour Illustrations, Biography

Edition Statement2nd Ed. 2011