Manifolds, the higherdimensional 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 knowledge and skills necessary for further study of geometry and topology. The requisite pointset 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 onesemester graduate or advanced undergraduate course, as well as by students engaged in selfstudy. Requiring only minimal undergraduate prerequisites, 'Introduction to Manifolds' is also an excellent foundation for Springer's GTM 82, 'Differential Forms in Algebraic Topology'.
About Loring W. Tu
Loring 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."Details Book
Author  :  Loring W. Tu 
Publisher  :  SpringerVerlag New York Inc. 
Data Published  :  06 October 2010 
ISBN  :  1441973990 
EAN  :  9781441973993 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  428 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
Reviews An Introduction to Manifolds

Margo Anderson Get eBook An Introduction to Manifolds
Finally I get this ebook, thanks for all these I can get now!

Lisa Doran Best website free download ebook
I was suspicious at first when i got redirected to the membership site. Now I'm really excited i found this online library....many thanks Kisses

Markus Jensen How to download An Introduction to Manifolds eBook?
I did not think that this would work, my best friend showed me this website, and it does! I get my most wanted eBook

Roddy Murray
My friends are so mad that they do not know how I have all the high quality ebook which they do not!

Lukasz Czaru
so many fake sites. this is the first one which worked! Many thanks


Andrew Smith
Just select your click then download link, and complete an offer to start downloading the ebook. If there is a survey it only takes 5 minutes, try any survey which works for you.

Kevin Mason
lol it did not even take me 5 minutes at all! XD

