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Material already "learned" in class that should be reviewed (this has first priority because the reward per unit time is better since I already half understand this stuff):
| Name | Description | Status | Notes | ||||||
| Vaughn Pratt stuff: algebraic logic | i read a little bit on airplanes, etc | CS353 handouts chapters 1-3 | |||||||
| Vaughn Pratt stuff: category theory | Graphs with paths. Also, a very general framework for universal algebra | i read a little bit on airplanes, etc | CS353 handout, chapter 4 | ||||||
| Vaughn Pratt stuff: Chu spaces | i don't understand them intuitively yet, but anything Vaugn likes must be cool | not started | CS353 Chu Space quarter class notes, also http://chu.stanford.edu/guide.html | ||||||
| Chuck's physics book | The mathematics of modern physics in one concise package | on first chapter | |||||||
| Review linear algebra | not started | ||||||||
| harvard's intro math courses | \ http://www.math.harvard.edu/~ctm/home/text/class/harvard/55a/08/html/index.html http://www.math.harvard.edu/~ctm/home/text/class/harvard/55b/09/html/index.html https://www.google.com/search?client=ubuntu&channel=fs&q=harvard+55a+55b&ie=utf-8&oe=utf-8 | ||||||||
| Review modern algebra | not started | ||||||||
| (Re)read Enderton | in middle of book | ||||||||
| Review linear systems theory and intro control theory | not started | ||||||||
| Review the reader from graduate linear systems class | not started | ||||||||
| Review statistical signal processing | not started | ||||||||
| Read Basic Category Theory for Computer Scientists by Pierce | not started | ||||||||
| Mine that combinatorics paper | Learn the details of the stuff in https://www.dpmms.cam.ac.uk/~wtg10/2cultures.pdf | read the paper once | |||||||
New material:
| Name | Description | Status | Notes | ||||||||
| Differential geometry | not started | Need to learn in order to understand grandfather's thesis! | |||||||||
| Algebraic geometry | not started | ||||||||||
| Differential topology | not started | ||||||||||
| Algebraic topology | not started | ||||||||||
| Set theory and transfinite stuff | not started | ||||||||||
| Statistics | not started | https://pavpanchekha.com/blog/stats1.html http://greenteapress.com/thinkstats2/ http://www3.wabash.edu/econometrics/EconometricsBook/index.htm http://bayes.wustl.edu/etj/prob/book.pdf | |||||||||
| Taleb's book on risk | Silent Risk | not started | |||||||||
| Mandelbrot's seven states of randomness | have read the wiki page | https://en.wikipedia.org/wiki/Seven_states_of_randomness | |||||||||
| Grandy's thesis | Learn enough math to understand my grandfather's thesis | not started | "Homothetic Correspondences Between Riemannian Spaces" by E. Baylis Shanks | ||||||||
| cohomology | Learn about cohomology (and homology and homotopy to boot) | not started | |||||||||
| homotopy type theory | http://homotopytypetheory.org/book/ also stuff hyperlinked at the end of section [1] | not started | |||||||||
| type theory | https://en.wikipedia.org/wiki/Intuitionistic_type_theory | not started | |||||||||
| network science, extremal properties of graph metrics | http://thesis.library.caltech.edu/6749/1/DionysiosBarmpoutis-PhDThesis.pdf | not started | |||||||||
| game theory | not started | ||||||||||
| complex analysis | found http://www.math.binghamton.edu/dennis/complex.pdf on sidewalk, probably used at UCSD (also from http://math.sfsu.edu/beck/complex.html ) | not started | |||||||||
| http://betterexplained.com/cheatsheet/ | not started | ||||||||||
| the books that chuck recommended | |||||||||||
| https://www.quantstart.com/articles/How-to-Learn-Advanced-Mathematics-Without-Heading-to-University-Part-3 and https://www.quantstart.com/articles/How-to-Learn-Advanced-Mathematics-Without-Heading-to-University-Part-3 and parts 1 and 2 |
this website mentions some things that may be of interest:
