Recent content by copperboy

Could you please explaim why [itex]dA = R^2 \sin \theta d\theta d\phi[/tex] in detail?

I don't know how to calculate the following rigid bodies with different geometries, can anybody help me? Thin spherical shell: I=(2/3)MR^2 Solid sphere: I=(2/5)MR^2 Thanks in advance.

Add them together you'll get f(n+1)-1, it's divergence.

zolit said -- "I thought of using the definition of a limit to get to lim [ f(x)/x] then set g(x)=x and then use L'hopital's rule." My point of view is this, when it comes to prove something, you can either based your solutions on definition or some existing theorem. L'hopital's rule requires...

Can anyone here give me an example on how analysis and abstract algebra be used in further study of math?

I say those two subjects are more important when it comes to the FOUNDATION of math because my teacher told me so in class. I don't know why and my teacher doesn't want to tell us and she just said you'll see that yourself when you learn more. So I posted here to ask those who have already...

Why do people say that Mathematical Analysis and Abstract Algebra are the two most important when it comes to the foundation of math? Maybe there are people before me have already asked such questions and I'd like to find the answers from other people, or discuss with others on this forum, or...

Why not use your knowledge of calculus?