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Math is a much, much broader field than the part of Computer Science than SICP covers, so it's really hard to search for "consistent and broad knowledge through
by zodiac 13y ago
Math is a much, much broader field than the part of Computer Science than SICP covers, so it's really hard to search for "consistent and broad knowledge throughout all areas". Do you really need to learn analytic number theory? category theory? axiomatic set theory? tensor calculus?
My suggestion would be to narrow it down to a specific field you're interested in like abstract algebra and ask for suggestions about that field. Even narrowed down the field might be too big - a basic introduction to abstract algebra would probably contain the same amount of information as SICP.
CS people tend to find discrete math and linear algebra most useful in their work, but maybe you want to learn something just for the sake of it and not for work.
- nextos 13y agoI was planning to structure my learning around linear algebra and real analysis, sort of like Harvard's Math 55 does. Apart from that I wanted to expand on basic set theory, geometry, combinatorics and probability theory to have a well-rounded basic education. My ultimate goal is to be able to digest advanced probability and statistics books.
- kenferry 13y agoI don't know an answer to your original question. Re: statistics and such though, I have heard very good things about http://www.indiana.edu/~kruschke/DoingBayesianDataAnalysis/ http://www.indiana.edu/~kruschke/DoingBayesianDataAnalysis/ If you are interested in a Math 55 approach (yikes! I took 25), you could consider using their syllabus. http://abel.math.harvard.edu/~elkies/M55a.02/index.html http://abel.math.harvard.edu/~elkies/M55a.02/index.html
- pmiller2 13y agoSet theory: You should definitely look at Naive Set Theory by Halmos. Despite the name, it's totally rigorous development of ZF set theory with discussion on the meaning and equivalent statements of AC.
- nextos 13y agoWhat about Lawvere's Conceptual Mathematics or Sets for Mathematics?
- elviejo 13y agoPrecisely my interes what is the SICP equivalent for: Discrte Math ? And for Linear Algebra?