" . . . that famous pedagogical method whereby one begins with the
general and proceeds to the particular only after the student is
too confused to understand even that anymore. " Michael Spivak This
text was written as an antidote to topology courses such as Spivak
It is meant to provide the student with an experience in geomet
describes. ric topology. Traditionally, the only topology an
undergraduate might see is point-set topology at a fairly abstract
level. The next course the average stu dent would take would be a
graduate course in algebraic topology, and such courses are
commonly very homological in nature, providing quick access to
current research, but not developing any intuition or geometric
sense. I have tried in this text to provide the undergraduate with
a pragmatic introduction to the field, including a sampling from
point-set, geometric, and algebraic topology, and trying not to
include anything that the student cannot immediately experience.
The exercises are to be considered as an in tegral part of the text
and, ideally, should be addressed when they are met, rather than at
the end of a block of material. Many of them are quite easy and are
intended to give the student practice working with the definitions
and digesting the current topic before proceeding. The appendix
provides a brief survey of the group theory needed."
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Series: |
Undergraduate Texts in Mathematics |
Release date: |
December 2012 |
First published: |
1993 |
Authors: |
L.Christine Kinsey
|
Dimensions: |
235 x 155 x 15mm (L x W x T) |
Format: |
Paperback
|
Pages: |
281 |
Edition: |
Softcover reprint of the original 1st ed. 1993 |
ISBN-13: |
978-1-4612-6939-7 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Topology >
General
Promotions
|
LSN: |
1-4612-6939-3 |
Barcode: |
9781461269397 |
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