36 Methods of Mathematical Proof

If the proof of a theorem is not immediately apparent, it may be because you are trying the wrong approach. Below are some effective methods of proof that might aim you in the right direction. Proof by obviousness: “The proof is so clear that it need not be mentioned.” Proof by general agreement: “All in …

Mathematics for Human Flourishing

Mathematics for Human Flourishing Why does the practice of mathematics often fall short of our ideals and hopes?  How can the deeply human themes that drive us to do mathematics be channeled to build a more beautiful and just world in which all can truly flourish?  I gave this Retiring Presidential Address at the AMS-MAA Joint Winter …