Difference between revision 11 and current revision
No diff available.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: