A collection of online Lecture Notes for Topology.

                        ㄱ. http://math.vassar.edu/faculty/McCleary/Topos.html

                        ㄴ. http://www.geocities.com/alex_stef/mylist.html

                  ㄷ. http://www.math.cornell.edu/~hatcher/Top/TopNotes.pdf

              A topological magic trick 1 : Coffee and Donut (from Wikipedia)

                   A topological magic trick 2

               If a set X has n elements, how many distinct topologies are there on X?

                   The answers for this are 1, 4,  29,  355,  6942,............

             These are the first five terms in a very interesting sequence of integers(A000798)

                   (cf. On-Line Encyclopedia of Integer Sequences)

              However there is no known simple formula for the number of topologies on a set

                   with n elements.

                  Miscellany

                  Cycloid : http://mathworld.wolfram.com/Cycloid.html

                  A. Mathematica

                      www.mathematica.co.kr 

                  B. Maple

                      www.mapleapps.com     

                      Calculus-lab-2200

                   C. Manipulation Math with Java

                   D. Riemann Integral

                   E. Tower of Hanoi

                   F.  Fourier Series

                       1. Fourier Series

                       2. Fourier Series(Maple)

                       3. Fourier Series(Java)

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