Math 441 - Comments on Reserve Books
The course text and several other books on topology will be on reserve in
the Math Library (C-306 Padelford Hall).
If you'd like to get a general idea of what topology is about, or to see
some of the applications of topology (few of which we will have time
to study), try either of the following.
- Goodman, Sue E., Beginning Topology, QA611 .P585 2009.
This book has lots of pictures and infomal arguments.
For an introduction to topology, read "An Overview" and Chapter 1.
Then browse in the later chapters to learn about applications.
- Adams, Colin C. and Robert D. Franzosa,
Introduction to Topology: Pure and Applied, QA611 .A3455 2008
Includes a standard introduction to topology, plus brief discussions of
applications of topology in other areas of mathematics and also chemistry,
physics, computer graphics, robotics, and other fields.
For alternative explanations and additional examples,
I recommend the following texts.
Both start with metric topology and have lots of exercises.
I may sometimes indicate sections of these books as optional reading.
- Patty, C. Wayne, Foundations of Topology,
QA611 .P33 1997
was the 441 text for a couple of years. It's a bit dense, but
may be a good complement to Munkres when you want a different explanation.
-
Sieradski, Allan J., An Introduction to Topology and Homotopy,
QA611 .S48 1992.
I wanted to use this for a text, but it's out of print.
It has lots of pictures and lots of examples.
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Most recently updated on October 3, 2014.