ENGLISH

Intuitive combinatorial topology

By A. Shenitzer , J. Stillwell , V.G. Boltyanskii , V.A. Efremovich

Book information

Publisher
Springer
Year
2001
ISBN
9780387951140, 0387951148
Open Library ID
OL17012014M
Language
english
Format
DJVU
Filesize
1 MB (1314431 bytes)
Pages
149\149
Library
Kolxo3
DPI
300
Time added
2010-07-29 05:14:56

Description

Topology is a relatively young and very important branch of mathematics. It studies properties of objects that are preserved by deformations, twistings, and stretchings, but not tearing. This book deals with the topology of curves and surfaces as well as with the fundamental concepts of homotopy and homology, and does this in a lively and well-motivated way. There is hardly an area of mathematics that does not make use of topological results and concepts. The importance of topological methods for different areas of physics is also beyond doubt. They are used in field theory and general relativity, in the physics of low temperatures, and in modern quantum theory. The book is well suited not only as preparation for students who plan to take a course in algebraic topology but also for advanced undergraduates or beginning graduates interested in finding out what topology is all about. The book has more than 200 problems, many examples, and over 200 illustrations.

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