Скачать или смотреть Visual Algebra Lecture 0.1: What is Visual Algebra all about?

Thank you for tuning in! I am finalizing my Visual Algebra book, which is around 800 pages with over 500 pictures, and I am currently making a 100+ video lecture series that covers the entire text. In this video, I'll tell you about this forthcoming book, and how it differs from other visual algebra texts such as ones from my friends and colleagues Nathan Carter (2009) and Dana Ernst (2016). I'll describe how this new YouTube series differs from my 2016 "Visual Group Theory" playlist. Then, I'll discuss some "myths" of Visual Algebra, before working through three original problems from various final exams, to give you a flavor of what sort of original questions can be asked with this new pedagogy. If you want to see more, in a follow-up video, I'll go over a bunch of "Visual Algebra highlights" with light commentary. Don't hesitate to shoot me an email if you have any questions!

Course & book webpage (with complete lecture note slides, HW, exams, etc.): https://www.math.clemson.edu/~macaule...

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CHAPTERS

0:00 Introduction
2:04 Two Cayley graphs of a dihedral group
4:44 A brief history of Visual Algebra
9:53 New Visual Algebra recording studio!
10:37 Visual Algebra vs. Visual Group Theory
16:07 Topical outline & table of contents
26:02 New topics in Visual Algebra (not in VGT)
28:10 LMFDB group database
29:07 Visual Algebra myths
34:07 Sample final exam problem #1 (Spring 2024, ugrad)
40:04 Sample final exam problem #2 (Fall 2023, grad)
44:41 Sample final exam problem #3 (Spring 2024, ugrad)
49:42 First isomorphism theorem visual
49:56 Concluding remarks & further resources