How to Study Mathematics (2017)
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How to Study Mathematics (2017)
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Re: How to Study Mathematics (2017)
#2I would love to get back and really learn math. I was really interested back in High School with Geometry and Algebra. But my interested totally burned out with poorly taught and punishing Calculus classes in College.
Re: How to Study Mathematics (2017)
#3I would love to get back and really learn math. I was really interested back in High School with Geometry and Algebra. But my interested totally burned out with poorly taught and punishing Calculus classes in College.
“Calculus Made Easy” might help you get back into it. Lots of discussion over the years on it:
Re: How to Study Mathematics (2017)
#4Bad rules. My suggestions ask yourself the following all the time
1) Do I ~really~ understand what the definition / theorem is supposed to tell me.
2) A proof is just a reason why something is true in maths. Do you understand ~why~ a statement is true?
3) Exercise all the time. You won't learn math by memorizing definitions, theorems and proofs.
Re: How to Study Mathematics (2017)
#5Also, use computers! I use SAGE extensively to get a feeling for lots of mathematical objects!
1. Grobner bases: http://bollu.github.io/computing-equivalent-gate-sets-using-...
2. Localization: https://github.com/bollu/bollu.github.io/blob/8cd335687ff3ef...
3. More broadly, an answer on math.stackexchange on how to debug math: https://math.stackexchange.com/questions/1769475/how-to-debu...
4. (WIP) continued fractions to compute pi: https://bollu.github.io/fractions/index.html
And so forth. I find the computational aspects of most theories to be very rich, and it's really gratifying to code something up and "read off" the results.
Re: How to Study Mathematics (2017)
#6Slight tangent - any suggestions on none conventional ways to teach children math?
Re: How to Study Mathematics (2017)
#7I would love to get back and really learn math. I was really interested back in High School with Geometry and Algebra. But my interested totally burned out with poorly taught and punishing Calculus classes in College.
It's a long journey with many paths. The best you can do is set aside time everyday. I do an hour and it adds up quickly.
Re: How to Study Mathematics (2017)
#8I would love to get back and really learn math. I was really interested back in High School with Geometry and Algebra. But my interested totally burned out with poorly taught and punishing Calculus classes in College.
What would anyone recommend to someone who really only had high school math[0] to get up to speed on enough math to handle more advanced computer science concepts?
I’m really interested but all the material I can find is either for kids (which just isn’t sufficiently stimulating for an adult) or aimed at college kids with a decent background in math that is fresh
[0]: not even calculus just what they called technical math which is like all practical example based curriculum. One of my life regrets here to be honest
Re: How to Study Mathematics (2017)
#9Bad rules. My suggestions ask yourself the following all the time 1) Do I ~really~ understand what the definition / theorem is supposed to tell me. 2) A proof is just a reason why something is true in maths. Do you understand ~why~ a statement is true? 3) Exercise all the time. You won't learn math by memorizing definitions, theorems and proofs.
How is this disagreeing with the OP? It specifically says that memorizing e.g. theorems is bad.
Re: How to Study Mathematics (2017)
#10I would love to get back and really learn math. I was really interested back in High School with Geometry and Algebra. But my interested totally burned out with poorly taught and punishing Calculus classes in College.
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