Speaking of CS, apparently now it's important to know something about high dimensional spaces and their volumes. I have linked a PDF below. What part of math does it belong to? I am not sure pure Linear Algebra and Real Analysis deal with such problems? Could it be Measure Theory or Convex Geometry? I am looking for literature or at least the names of subsets of math that deal with such problems starting from the ver…
The appendix has the material the book depends on.
The course description includes this: "The course is cross-listed as a joint undergraduate/graduate course. The course will be fast paced and theoretical, so mathematical maturity and comfort with material in 15-251 and basic algorithms is required. The suggested prerequisites are 15-251 [0] and 15-451 [1]. (In exceptional cases, if you haven't taken these courses at CMU but feel that you have the required mathematical background and would like to try this course, you may sign-up for the course after the obtaining the instructors' permission.) Students who have taken 15-359 and enjoyed it are particularly encouraged to consider taking this course. The overlap with 15-359 will be small, so doing both courses in parallel is also encouraged."