definition of some concepts in geometry.
Hello dear friends:
I study electronics at the university but I am very interested in understandig the exact definition of some basic concepts in math. for example I really like to know & understand the exact & mathematical definition of following elements in geometry:
actually I think that there is a close correlation between geometry & calculus so understanding these concepts will help me studying the calculus better.
Any help that you can give me would be appreciated.
caulculus without geometry?
First I want to thank you for the answers. what ThePerfectHacker says is very interesting. you say that the geometry has not a strong mathematical foundation (owing to the lack of definitions of point,line, ...) but there are many concepts in math (especially in calculus) that are defined using geometry or are related to it, for example: angle, trig functions, the integration which calculates the area, the derivative which calculates the slope of the tangent line of a curve & ... you also said that the mathematicans dont accept geometrical proves. now I have another question:
Is it possible to introduce & study concepts like angle, trig functions, limit & continuity, integration (the area) , derivative (the slope of tangent line) & in general the calculus (specially the 3 dimentional calculus) just without any geometry?
this is the question that I have been thinking to it for a long time & I will be really grateful if your help me.