Differential Topology [electronic resource] | Hirsch, Morris W
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Author: Hirsch, Morris W
Added by: sketch
Added Date: 2015-12-30
Publication Date: 1976
Language: eng
Subjects: Mathematics, Cell aggregation, Cell aggregation, Mathematics
Publishers: New York, NY : Springer New York
Collections: folkscanomy miscellaneous, folkscanomy, additional collections
ISBN Number: 9781468494495, 146849449X
Pages Count: 600
PPI Count: 600
PDF Count: 1
Total Size: 76.24 MB
PDF Size: 18.41 MB
Extensions: djvu, gif, pdf, gz, zip, torrent, log, mrc
Downloads: 3.53K
Views: 53.53
Total Files: 18
Media Type: texts
Description
Differential Topology
Author: Morris W. Hirsch
Published by Springer New York
ISBN: 978-1-4684-9451-8
DOI: 10.1007/978-1-4684-9449-5
Introduction -- Manifolds and Maps -- Function Spaces -- Transversality -- Vector Bundles and Tubular Neighborhoods -- Degrees, Intersection Numbers and the Euler Characteristic -- Morse Theory -- Corbodism -- Isotopy -- Surfaces -- Bibliography -- Appendix -- Index
This book gives the reader a thorough knowledge of the basic topological ideas necessary for studying differential manifolds. These topics include immersions and imbeddings, approach techniques, and the Morse classification of surfaces and their cobordism. The author keeps the mathematical prerequisites to a minimum; this and the emphasis on the geometric and intuitive aspects of the subject make the book an excellent and useful introduction for the student. There are numerous excercises on many different levels ranging from practical applications of the theorems to significant further development of the theory and including some open research problems
Author: Morris W. Hirsch
Published by Springer New York
ISBN: 978-1-4684-9451-8
DOI: 10.1007/978-1-4684-9449-5
Introduction -- Manifolds and Maps -- Function Spaces -- Transversality -- Vector Bundles and Tubular Neighborhoods -- Degrees, Intersection Numbers and the Euler Characteristic -- Morse Theory -- Corbodism -- Isotopy -- Surfaces -- Bibliography -- Appendix -- Index
This book gives the reader a thorough knowledge of the basic topological ideas necessary for studying differential manifolds. These topics include immersions and imbeddings, approach techniques, and the Morse classification of surfaces and their cobordism. The author keeps the mathematical prerequisites to a minimum; this and the emphasis on the geometric and intuitive aspects of the subject make the book an excellent and useful introduction for the student. There are numerous excercises on many different levels ranging from practical applications of the theorems to significant further development of the theory and including some open research problems
