I want to research curves .
equation of curves
visualization of the equations
analyzing the visualization + equations
explore and experiment with the equation generated visualizations
( that involves cutting pasting equations through code ...etc)
Henri Poincare --[the value of science] [science and hypothesis]
[book of curves]
[standard curves and plane ]
[exploration of strange curves]
[computational beauty of nature]
(focused on) :
cartesian coordinate system
polar coordinate system
coordinate curves and surfaces
(lightly reading on)
I would like to try not to cover too many filed of mathematics, too complex system and theories. All the filed i have been researching seems from really old baroque time. Therefore, i am aware of the fact that some of the statement might not be true or relevant anymore. I am not sure what is it that fascinating me so much .
I am interested in the theory of how mathematically number sets form the plane and generate motions to "clam" the plane and dimensions. as i find computer graphic is such an wonderful platform to jiggle all the numbers and viewable.
Also, I wish my researching progress will improve my computer science and programming knowledge.
I have not enough skill to test out complex number system and differential geometry in programming at this stage , however i am really interested in getting into the general information. I have already read some books and papers about complex numbers and differential geometry both in mathematical terms and also in philosophy meanings. I did not completely understand them, however they are readable.
Excuse for my not appropriate format, I will improve once it gets on the path!
I do not mind rewrite it into a proper format and writing style once allows me more time.