Differential geometry and topology

What is this world? How can we see it from which point of view?

When you see, hear, touch, smell, taste, or feel this world, mather language is so powerful to draw the experience. A color of red can be related to anything which you have memorized with the color.  From the point of view of common sense, a color of red is blood, sun, passion, danger or stop of trafic light.  So as mentioned above,  a sense of this world is usually described by mother languages.

As you know, there are many mother languages in the world and the meaning is different from each others as well as the difference of individuals even in the same language speaker. 

In same world, there are mathmatics, physics, biology and science. To see or feel this world by observation can have many problems about the observation tool.

Math has its history over 2000 years, and Sir Issac Newton who wrote The Principia, one of most important scientific book, developped differetial and integral calculs in 17 century.

Once you recognize something as what you think, it needs a huge amount of energy to amend the concept, which may be one of human brain nature. In 20 century, as the Newton's world had became familier with scientist and the concept of differetial geometry was systemized, topology was born.  It is amazing that new concept changes the world, even though this world is always changing under the principle of entropy.

Now for me, I would very like to develop my Apps of Math to see and feel how this world can be. It would not be a teacher, but programs that lead people to next paradime.

Thank you for reading, and please check http://play.google.com/store/apps/developer?id=MathContext