- Elementary Topology: Second Edition by Michael C. Gemignani
Superb introduction to rapidly expanding area of mathematical thought. Fundamentals of metric spaces, topologies, convergence, compactness, connectedness, homotopy theory and other essentials. Numerous exercises, plus section on paracompactness and complete regularity. References throughout. Includes 107 illustrations.
Amazon.com: Elementary Topology: Second Edition (Dover Books on Mathematics) (9780486665221): Michael C. Gemignani: Books
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Note: Recommended by John Banks.
- Introduction to General Topology by Joshi - amazon.com
K. D. Joshi, Introduction to General Topology. A Halsted Press Book. John Wiley & Sons, Inc., New York, 1983. xii+412 pp. ISBN: 0-470-27556-1. K D Joshi obtained his Ph D in Mathematics from Indiana University,USA in 1972 and has been teaching mathematics at IIT Bombay since 1975. He has been involved with the conduct of the Joint Entrance Examination (JEE) in various capacities for over two decades. He has many books to his credit one of which is Calculus for Scientists and Engineers published by Narosa Publishing House in 2002.
Amazon.com: Introduction to General Topology (9780852264447): K.D. Joshi: Books
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Note: Really good book. Lots of explaining of motivation, wordy in a good way. His personal homepage is found here: http://www.math.iitb.ac.in/~kdjoshi/ Melbourne Uni Maths library has a copy.
- Topology (2nd Edition) - by James Munkres - amazon.com
This introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology. Includes many examples and figures. GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and Separation Axioms. The Tychonoff Theorem. Metrization Theorems and paracompactness. Complete Metric Spaces and Function Spaces. Baire Spaces and Dimension Theory. ALGEBRAIC TOPOLOGY. The Fundamental Group. Separation Theorems. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of Covering Spaces. Applications to Group Theory. For anyone needing a basic, thorough, introduction to general and algebraic topology and its applications.
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Note: John Banks recommended it. More formal than gemignani's 'elementary topology'.
- FreeMind - Wikipedia, the free encyclopedia
FreeMind is a free mind mapping application written in Java. FreeMind is licensed under the GNU General Public License. Along with the advantage of unlimited free usage, it provides extensive export capabilities. An XHTML export allows you to create a mapped image with links to a folding outline. Natara Software's Bonsai outliner also allows you to import the mindmap into a hierarchical list, thereby allowing you to easily carry around your maps (in outline form) on your Palm PDA.
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