I'm a PhD student working in this field and have TA'd multiple years for a graduate course covering this material.

It'd be nice if you could go over why you think you'd be a good candidate to cover the subject.

Will add this to my list of ed-tech start-up ideas to validate.

Cryonics ideas in practice:

"The technique involves replacing all of a patient's blood with a cold saline solution, which rapidly cools the body and stops almost all cellular activity. "If a patient comes to us two hours after dying you can't bring them back to life. But if they're dying and you suspend them, you have a chance to bring them back after their structural problems have been fixed," says surgeon Peter Rhee at the University of Arizona in Tucson, who helped develop the technique."

http://www.newscientist.com/article/mg22129623.000-gunshot-victims-to-be-suspended-between-life-and-death.html

Dummit & Foote's Abstract Algebra is a good algebra book and Munkres' Topology is a good topology book. They're pretty advanced, though. In university one normally one tackles them in late undergrad or early grad years after taking some proof-based analysis and linear algebra courses. There are gentler introductions to algebra and topology, but I haven't read them.

I am not going to be able to recommend any books. I learned all my math directly from professors' lectures.

What is your goal in learning math?

If you want to learn for MIRI purposes, and youve already seen some math, then relearning calculus might not be worth your time

I advise that you read the first 3 books on your list, and then reevaluate. If you do not know any more math than what is generally taught before calculus, then you have no idea how difficult math will be for you or how much you will enjoy it.

It is important to ask what you want to learn math for. The last four books on your list are categorically different from the first four (or at least three of the first four). They are not a random sample of pure math, they are specifically the subset of pure math you should learn to program AI. If that is your goal, the entire calculus sequence will not be that useful.

If your goal is to learn physics or economics, you should learn calculus, statistics, analysis.

If you want to have a true understanding of the math that is built into rationality, you want probability, statistics, logic.

If you want to learn what most math PhDs learn, then you need things like algebra, analysis, topology.

I'm interested in learning pure math, starting from precalculus. Can anyone give advise on what textbooks I should use? Here's my current list (a lot of these textbooks were taken from the MIRI and LW's best textbook list):

• Calculus for Science and Engineering
• Calculus - Spivak
• Linear Algebra and its Applications - Strang
• Linear Algebra Done Right
• Div, Grad, Curl and All That (Vector calc)
• Fundamentals of Number Theory - LeVeque
• Basic Set Theory
• Discrete Mathematics and its Applications
• Introduction to Mathematical Logic
• Abstract Algebra - Dummit

I'm well versed in simple calculus, going back to precalc to fill gaps I may have in my knowledge. I feel like I'm missing some major gaps in knowledge jumping from the undergrad to graduate level. Do any math PhDs have any advice?

Thanks!

"from 11PM to 5PM PST on Saturday, Jan. 4th."

Guessing you meant 11AM. -Edit: The Eventbrite link says 11AM to 7PM. What is it?

I wasn't convinced about testimonials from CFAR camps (also as a student, the price deterred me), but with a money back guarantee it seems like the opportunity cost of spending 6 hours at CFAR outweighs whatever else I would do. Tempted to go.

In one section, you spelled Kirsh's name Kirsch. Also, it was unexpected to see my professor show up on a Lesswrong post.