Theory of Curves Differential Geometry Reading Stream Review | Philosophy | Episode 9

Welcome back 500 subscribers 🥳 Thanks everyone for liking my vids on the way in and really helping to push my content out there! Today's video is a review of the material in Chapter 2 from the Differential Geometry Book I've been reading in the past episodes, namely the Theory of Curves. The Kreyszig Differential Geometry book I've been reading in these videos: https://amzn.to/3U6OnbH The Kühnel book I've recently compared the Kreyszig book to: https://amzn.to/3Js7sQP MIT OCW 18.950 Differential Geometry: https://ocw.mit.edu/courses/18-950-di... 📩 Questions/Business inquiries: [email protected] TIMESTAMPS ============ 0:00 Solon is reprimanded by an old Egyptian priest 0:30 Introduction 3:55 School of Athens interpretation (Philosophy a la Socrates, Plato, and Aristotle) 6:29 Socrates 9:19 Heidegger and Nietzsche are reactions to Descartes and Plato 13:00 Philosophical Idealism from Plato to Hegel 19:00 George Wilhlelm Friedrich Hegel (Aufhebung) 21:13 Hegel's Bagels 21:56 The 3 key moments of Western Philosophy according to Slavoj Zizek 22:23 Jolly Jacques Lacan the radical Neo-Freudian psychoanalyst 32:20 Aristotle 37:42 Plato & Timaeus background 39:55 The setting of Timaeus 40:33 Timaeus proves he is the O.G. of Math/Philosophy/Physics stream of consciousness rants lmfao 43:43 Context for the Critias/Solon/Egyptian priest quote at the beginning 45:48 Reading from Critias' prologue about Solon in Timaeus 47:10 End of philosophical rant; reading a quote with "osculation" from Gravity's Rainbow by Thomas Pynchon 48:41 Reading a comment from a viewer like you! 50:26 Skimming a Theoretical Physics book 55:11 Skimming Wald's General Relativity (pretending to be a physicist lol) 59:59 Comparing the Kreyszig and Kühnel Differential Geometry Books 1:00:13 Editing snafu 1:01:04 Back at it again 1:05:28 Trash-talking about the classical Gram-Schmidt procedure. QR gang 😤 Rant about numerical stability of algorithms 1:09:59 Back to the Kühnel notes 1:15:40 Skimming the MIT OCW 18.950 Differential Geometry, Theory of Curves Lecture Notes (Lectures 1-10) 1:19:19 ASMR Sea Salt & Almond Dark Chocolate + Honey break 1:19:52 MIT OCW 18.950 Homework 1, Problem 2 partial answer 1:23:44 MIT OCW 18.950 Homework 2, Problem 2 (MATLAB exercise!!!) partial answer