The overpowered Laplace technique for summing series. Published 2023-08-24 Download video MP4 360p Download video MP4 720p Recommendations 18:50 A differential equation with YouTube's favorite special function. 20:50 Clever Tricks with the Alternating Harmonic Series: Rearrangement Strategies 12:45 Sum of the First n Non-Square Integers 15:01 how Laplace solved the Gaussian integral 11:27 A deceivingly tough integral 15:14 a powerful counting trick you don't want to miss!! 11:21 a mysteriously special number 18:44 A deceivingly difficult differential equation. 11:07 Ramanujan's master theorem is insanely overpowered!!! example using the Fresnel integrals 08:22 A Ratio of Two Infinite Geometric Series 21:26 an amazing and mysterious approximation for pi! 17:44 do you know about the "reciprocal gamma function"?? 15:42 How Euler took derivatives. 13:06 One crazy looking integral 32:32 Why don't they teach simple visual logarithms (and hyperbolic trig)? 14:32 Fermat's unique method of integration. 37:35 Terence Tao's central limit theorem, Double Factorials (!!) and the Moment Method #SoME3 10:20 INCORRECT PROOF of Fermat's Last Theorem 24:14 How Archimedes inspired me to approximate cube roots. Similar videos 00:35 How REAL Men Integrate Functions 15:55 Newton's Sum 12:13 Feynman's technique is the greatest integration method of all time 08:15 Laplace Transform: Integral definition, properties and a simple IVP 16:06 Solving an integral equation using special functions. 08:26 One of the coolest integrals on YouTube! 15:07 Hypergeometric functions and Elliptic Integrals -- Part 1 10:51 IV-II Laplace Transform 05:23 life changing integration by parts trick 12:28 A surprisingly wonderful infinite series result 13:04 raabe 4K 00:29 Not the reaction he was hoping for 🥴 39:39 Differential Equations: Properties of Laplace Transforms 20:54 a nice product from Ramanujan -- featuring 3 important constants! 20:39 gamma reflection via double and contour integration. 19:30 a notorious functional equation. More results