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25 Remote Warehouse Mathematics- Geometry and Trigonometry

Differential topology

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Differential topology Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

"A very valuable book. In little over 200 pages, it presents a well-organized and surprisingly comprehensive treatment of most of the basic material in differential topology, as far as is accessible without the methods of algebraic topology....There is an abundance of exercises, which supply many beautiful examples and much interesting additional information, and help the reader to become thoroughly familiar with the material of the main text." --MATHEMATICAL REVIEWS

Table of Contents

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.

Product Details

ISBN:
9780387901480
Author:
Hirsch, Morris W.
Publisher:
Springer
Location:
New York, NY
Subject:
Geometry - General
Subject:
Differential topology
Subject:
Topology - General
Subject:
Topology
Subject:
Differentialtopologie
Subject:
Manifolds and Cell Complexes (incl. Diff.Topology)
Subject:
Mathematics-Geometry and Trigonometry
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Cell aggregation_xMathematics
Copyright:
Edition Number:
6
Edition Description:
1st ed. 1976. Corr. 6th printing
Series:
Graduate texts in mathematics ;
Series Volume:
no. 18-1933
Publication Date:
19760701
Binding:
HARDCOVER
Language:
English
Illustrations:
Yes
Pages:
250
Dimensions:
235 x 155 mm 1140 gr

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Related Subjects


Science and Mathematics » Mathematics » Advanced
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Mathematics » Topology

Differential topology New Hardcover
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$99.25 In Stock
Product details 250 pages Springer-Verlag,1976. - English 9780387901480 Reviews:
"Synopsis" by , "A very valuable book. In little over 200 pages, it presents a well-organized and surprisingly comprehensive treatment of most of the basic material in differential topology, as far as is accessible without the methods of algebraic topology....There is an abundance of exercises, which supply many beautiful examples and much interesting additional information, and help the reader to become thoroughly familiar with the material of the main text." --MATHEMATICAL REVIEWS
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