In this video on proof, Björn Hartgerman explains the importance of proving mathematical theorems and how to do it. Using the example of proving the stereographic projection of circles, he shows that a mathematical proof must use reasoning to be convincing, and has to explain why it is indeed true. He covers important concepts like Euclid's axioms, Pythagoras' theorem, and Thales' theorem, and shows how they can be used to prove theorems. Ultimately, he demonstrates how the stereographic projection carries circles onto circles, proving the importance of proof in mathematics.
Learn what it means to prove theorems in mathematics and why it is important.