Differential Topology

ISBN-10: 0387901485
ISBN-13: 9780387901480
Edition: 5th 1976 (Reprint)
Authors: Morris W. Hirsch
List price: $89.95 Buy it from $61.49
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Description: 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  More...

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Book details

List price: $89.95
Edition: 5th
Copyright year: 1976
Publisher: Springer
Publication date: 9/16/1997
Binding: Hardcover
Pages: 222
Size: 6.50" wide x 9.75" long x 0.50" tall
Weight: 1.320
Language: English

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.

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

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