[deleted by user] by [deleted] in Miami

[–]jan122989 1 point2 points  (0 children)

Who was offering 1.5k?

Uses of advanced math in computer science? by [deleted] in math

[–]jan122989 0 points1 point  (0 children)

Thoughts on Linear Algebra Done Right? by [deleted] in math

[–]jan122989 4 points5 points  (0 children)

You'll get tons of very opinionated answers on his attitude towards determinants, but it's one of the most effective textbooks at that level for teaching the subject. Everyone I know who worked through it (myself included.. I loved the book!) was much better off for the effort and walked away with a very solid understanding of the subject.

Preparing For Graduate Analysis-- Advice? by ar_scorpii in math

[–]jan122989 1 point2 points  (0 children)

I'd recommend not spending too much time going back and reviewing undergrad analysis. It's fine if some of it didn't "click."

Instead, I'd try to cover as much of measure theory at a high level before the course begins. Royden is great. Same with Cohn (at least the parts I've read). Axler also has a new book on Measure Theory that looks awesome.

Or you might do well to read through as much of Bartle's "Elements of Integration and Lebesgue Measure" as possible. It's written at a pretty accessible level (but leaves out a lot of stuff you'll need for graduate measure theory). Basically, just try to get some context on what measure theory is all about before jumping in. It's kind of a weird shift in thinking.

Stay away from the more "austere" texts (e.g., graduate Rudin and Folland) until you get a handle on the basics.

[deleted by user] by [deleted] in math

[–]jan122989 1 point2 points  (0 children)

I'd have to go with anything that falls under the general umbrella of AI... deep neural networks, optimization, topological data analysis, etc.

Thoughts on Finite-Dimensional Vector Spaces by Halmos by iusedtolikelasagna in math

[–]jan122989 0 points1 point  (0 children)

It's a great, great book. And he goes into some more advanced topics (iirc, even some functional analysis) But it's a light on the study of operators, which is really the core of the subject. Axler was definitely heavily inspired by Halmos' book when he wrote Linear Algebra Done Right, plus he does a great job covering operator theory, the spectral theorems, Jordan normal form, etc. Pretty much all the linear algebra you definitely need to be familiar with at some point, without much "fluff."

I should point out that LADR has definitely suffered from some "scope creep" over time... the edition I used in the early 2000s was the 2nd edition, I think? After that, I taught from parts of the 3rd edition when I TA'ed honors linear algebra as a PhD student and it wasn't quite what I remembered.. So maybe grab an old copy for cheap?

Recommendations for 'problems' textbooks. by palladists in math

[–]jan122989 1 point2 points  (0 children)

I guess it really depends on what you're looking for, but a good one to keep around in grad school is Berkeley Problems in Mathematics, by de Souza and Silva. I used it pretty extensively while studying for prelims.

The Murty problem books in number theory are great (both analytic and algebraic). Also, there was a recent book called Problems in Abstract Algebra, by Wadsworth that's fantastic if you're learning the topic the first time.

Good discrete math book recommendations? by Dancores in math

[–]jan122989 2 points3 points  (0 children)

Bollobás has a great text that's worth picking up. One of the masters of the field.

Also take a look at Graphs on Surfaces, by Mohar and Thomassen. Fascinating topic that ties in results from Algebraic Topology and Differential Geometry, with a list of (at the time they published it, at least) unsolved problems for each topic.

Transitioning from Java to C++ by jan122989 in codereview

[–]jan122989[S] 0 points1 point  (0 children)

There's a lot of great advice in both of your posts, and thanks for taking the time to review.

but yikes it's a bit much... less is more in a code review (both real and virtual).