Don't get how to write proofs!
I'm a high school student who really wants to major in mathematics. I love reading proofs, but when the book [What is Mathematics by Courant] asks me to do proofs, I have absolutely no idea of where to start. Should I just give up my aspiration to major in math...
Do you guys ever get this tingly feeling in your brain after you spend a long time trying to figure out how to solve a problem (eg mathematical proof) and finally getting it?
I'm a senior currently taking AP Physics C: Mechanics and really like the class, and am thinking about majoring in it in college. However, I know that college math is nothing like high school math. Is college physics similar to AP Physics C?
Question:
Let f be a real-valued function on the plane such that
for every square ABCD in the plane, f(A) + f(B) +
f(C) + f(D) = 0. Does it follow that f(P ) = 0 for all
points P in the plane?
Answer:
Yes, it does follow. Let P be any point in the plane. Let
ABCD be any square with...
Homework Statement
A ball (hollow sphere) of radius .11m and mass .444kg is mounted on a frictionless axle. A massless cord is wrapped around the ball supporting an object of mass .02kg. Find the angular acceleration of the wheel, linear acceleration of the object and tension in the cord...
Homework Statement
Let B be a non-empty set, and supose that {Sa : a\inB} is an B- indexed family of subsets of a set S. Then we have,
(\cup a\in B Sa)c = \bigcapa\in B Sac.
Homework Equations
The Attempt at a Solution
I tried to show that the two were both subsets of each...