Geometric Measure Theory - Lecture 1/6

Topics: Course outline, motivation, and ZFC prerequisites

Textbook: Geometric Measure Theory by Herbert Federer

0:00 Course Overview
9:20 History of Geometric Measure Theory
16:59 Applications of GMT
19:20 Break for Questions
31:25 Binary Relations
32:08 Partial Orders
36:02 Total Orders
37:48 Well Orders
40:08 Initial Segments
42:44 Induction on Well Orderings
44:46 Regularity Axiom & Ordinals
51:22 Ordinal Arithmetic
52:42 Transfinite Induction & Wrap-up

[ltwycew]

I hope you didn’t think I was being critical. No one can argue that Federer (and Whitney) deserves top billing. Your pilot was very well done. I hope you can release the full series soon. Too little attention is given to geometric integration theory and currents

[CedarDrawers]

PROFESSOR: my village CELEBRATE YOU, PROFESSOR. LOVE FROM INDIA FAMILY, and NEPAL TOO!🌏🔨🎉💪

[oyugioyugi]

Were more videos taken?? This is an incredibly well-done lecture, and we need more!!

[ltwycew]

I think you will enjoy Whitney’s first chapter especially. And it’s always rewarding to read the old masters and see how they were struggling with new concepts

[ltwycew]

Why do you not mention Whitney's excellent intro, "Geometric Integration Theory" and Krantz/Parks, "Geometric Measure Theory"?