Torricelli's Trumpet (or Gabriel's Horn): A Paradox of Area and Volume скачать в хорошем качестве

Torricelli's Trumpet (or Gabriel's Horn): A Paradox of Area and Volume

If you've taken some calculus before, you know how we can use integrals to define different measures of size: lengths, areas, volumes, etc. Before the Fundamental Theorem of Calculus was formalized by Newton and Leibniz, there was a lot of interest in using some pseudo-calculus methods to find interesting results, many of which about the nature of infinity itself. Evangelista Torricelli was interested in a seemingly paradoxical 3-dimensional shape: one whose volume was finite, but whose surface area was infinite. This is a short introduction to Torricelli's Trumpet, commonly called Gabriel's Horn. --------------- I tweet math things on Twitter:   / mathprofpeter   I stream math things on Twitch:   / professorpeter   ---------------