I am afraid that sounds curmudgeonly, but I have also seen students shoot themselves in the foot because they decided they didn't need a class for their not very well informed goals.
2,804 karma · joined November 16, 2009
I am afraid that sounds curmudgeonly, but I have also seen students shoot themselves in the foot because they decided they didn't need a class for their not very well informed goals.
I find a page of math textbook takes about 30 minutes (at least) to really work it over until you understand it.
Personally, I don't much like working in groups or watching video lectures. To learn math, you have to be able work problems by yourself, so you might as well just do that.
David Morin has some great self study books:
http://www.people.fas.harvard.edu/%7Edjmorin/book.html
I have a math BA from a regional state college, usually scored in the top 5 on the tests, and I am self teaching physics / me /ee about 5 hours per week after work.
And I meant "white" literally, to point out the absurdity that poverty is a function of skin color as opposed to deep class organization. If light skin color is what made one rich and powerful, then Catholic Irish would be at the top. But...
This (bullshit) is what they thought in the 1890s,and is why physics was considered boring, basically a dead field. Oops!
Any particular "arbitrary formalized language of symbols" is validated by experiment, either explicitly or implicitly. Humanity/ culture keeps the string games that works and jettison the ones that don't; it is a slow, collaborative process. We have worked out a pretty good "arbitrary formalized language of symbols", but not because we derived these string games or intuited them, but rather because we test them daily.
To be a formalist doesn't imply that a person under-appreciates the mysterious power of mathematics, just that they don't believe in an underlying psuedo-Kantian "truth".
Also, as I understand it, advanced physics is necessarily done formally only, since our intuition is so ridiculous at the atomic scale and all the equations like Schrodingers are only postulated, then verified empirically.
Also, it is snarky and under-informed, but I think of this debate as Hilbert (Hilbert!) and Some Guy.
I also think an experienced reader can navigate more quickly (yes fraction of seconds) in a physical book than possible when you have to set bookmarks and use them in some drop down system.
I would love to see a human factors study comparing hyperlink eReader versus paper book.
I find for technical books, paper is far superior. The layout is much better for graphics/ equations, plus the traditional layout of a book (with some post it stickies) is optimized for easy navigation/ jumping back and forth.
One thing I miss about paper books is their three-dimensionality. If you are an experienced reader, knowing where you are in the thickness of a book is just as important for navigating the book as a whole as where you are in any given page. And I don't think the GUI bookmarks work quite as well as paper, personally.
Really, it is all about fractions of a second, but it adds up.
(Personally, I don't care about the aesthetics, feel and smell of the paper, blah blah, I just still think paper technical books win for .)
Also, Stevens Advanced Programming in the Unix Environment is a great book to work through.