Are there any good websites/books/forums that have a large archive/repository of maths questions ranging from end of high school to grad level maths that actually require a decent amount of thinking and work?
If you can't think of any post miscellaneous maths problems around the same level (bonus points for those sweet integrals)
Are there any good websites/books/forums that have a large archive/repository of maths questions ranging from end of...
Isaac Williams
Ian Murphy
>Are there any good websites/books/forums that have a large archive/repository of maths questions ranging from end of high school to grad level maths that actually require a decent amount of thinking and work?
gen.lib.rus.ec
Nathan Roberts
Apparently this site is banned in the UK for some reason?
Adam Mitchell
lmao
Luis Murphy
arxiv.org
These have some interesting backstory as well
Dominic Long
Any of those Math Olympiad books that focus on solving problems.
I believe Tao has a good one, so does Zeitz with his Art & Craft of problem solving though they aren't grad level.
If you truly want one volume of text(s) that can do this then get The Art of Computer Programming by Don Knuth. There's countless number theory, algebra, combinatorics and other problems in there. Hell even the chapters on historical notes have 30+ difficult problems ranging from research problems to highschool level "Finish this 6th century algorithm so it halts" and the books contain worked out answers too so you can see where you fucked up. The beginning 2 chapters also will give you a crash course in these topics, with books he advises for further reading if you don't understand what's happening.
For example, Vol 5B is a free draft on his website entirely about probability/stochastic calc/martingales, and it contains 500+ worked out exercises.
Jonathan Brown
Holy hell, by the sounds of it, this is exactly what I need. Will definitely check out, thanks for sharing the knowledge user!
Bentley Lopez
> Jewish problems
Almost kek'd before I actually read it. Seems like a good set of problems, thank you.
Michael Sanchez
The books are extremely difficult in parts, like the grad level shit in Vol 2 when dealing with number theory and some of the intensely difficult combinatorics problems in the huge 4A vol but the only official pre-reqs to reading it are "Some expose to calculus" (Knuth read Thomas' Calculus version 2) and "the ability to write a program or two" which at that time meant assembly language programming.
To satisfy #2 you can always watch these lectures (they will be populated as the term goes on) cs.cmu.edu
Here's a good review of Vol 1
commandlinefanatic.com
Ryan Butler
Alright, thanks for the warning. Would you suggest starting with The Art of Computer Programming or Concrete Mathematics?