←back to thread

Sheafification – The optimal path to mathematical mastery: The fast track (2022)

(sheafification.com)
95 points atomicnature | 3 comments | 31 Aug 25 04:31 UTC | HN request time: 0.001s | source
Show context
stared ◴[31 Aug 25 08:04 UTC] No.45081360[source]▶
I am not sure if I agree with the list. I mean, one red flag is the frequent mention of Landau & Lifshitz. It is considered a "standard textbook", but I feel it stuck there by inertia. There are quite a few choices of both less boring and more insightful.

(Back when I was reading such stuff, 20 years ago, the Feynman Lectures provided orders magnitude more insight. And fun.)

replies(3): >>45081701 #>>45082538 #>>45083825 #
1. lambdas ◴[31 Aug 25 09:11 UTC] No.45081701[source]▶
Shivlov for the one and only text in linear algebra is rough. IMO, it’s a little terse and fast paced. Efficient if you’re already well versed enough to be dangerous, but otherwise I think might slow down the beginner to a crawl in places.

Same for Hartshorne’s Algebraic Geometry. Neither of these are bad textbooks at all, they both have a place on my bookshelf, but certainly better options have appeared through the years (for AG, I’d be remiss to mention Ravi Vakil’s fantastic The Rising Sea, due for a physical publishing October, and Ulrich Görtz & Torsten Wedhorn two part series)

replies(1): >>45081734 #
2. mna_ ◴[31 Aug 25 09:16 UTC] No.45081734[source]▶
What would you recommend as a supplement to Shilov's LA book?
replies(1): >>45082178 #
3. epsilonic ◴[31 Aug 25 10:53 UTC] No.45082178[source]▶
Linear Algebra and Geometry by Igor Shafarevich, coupled with Linear Algebra by Friedberg, Insel, and Spence; the latter has great problems to work with, whereas the former is for a lucid exposition.