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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 do

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 very beginning. https://www.cs.cmu.edu/~venkatg/teaching/CStheory-infoage/chap1-high-dim-space.pdf https://www.cs.cmu.edu/~venkatg/teaching/CStheory-infoage/ch...

asdojasdosadsa 9y ago
What's your answer to the last exercise?
Blackthorn 9y ago
Looks like similar stuff from my calculus 3 class.
sn9 9y ago
You can find a link to the whole book here: https://www.cs.cmu.edu/~venkatg/teaching/CStheory-infoage/ https://www.cs.cmu.edu/~venkatg/teaching/CStheory-infoage/ 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." [0] https://www.cs.cmu.edu/~./15251/course-info.html https://www.cs.cmu.edu/~./15251/course-info.html [1] https://www.cs.cmu.edu/~15451/ https://www.cs.cmu.edu/~15451/

asdojasdosadsa 9y ago

What's your answer to the last exercise?

Blackthorn 9y ago

Looks like similar stuff from my calculus 3 class.

sn9 9y ago

You can find a link to the whole book here: https://www.cs.cmu.edu/~venkatg/teaching/CStheory-infoage/ https://www.cs.cmu.edu/~venkatg/teaching/CStheory-infoage/ 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." [0] https://www.cs.cmu.edu/~./15251/course-info.html https://www.cs.cmu.edu/~./15251/course-info.html [1] https://www.cs.cmu.edu/~15451/ https://www.cs.cmu.edu/~15451/