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Old 07-01-2012, 07:54 PM   #1
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Calculus: An Intuitive & Physical Approach.... What should I read next?

Ive been teaching myself math (to get ahead in college ) I just finished Calculus: an Intuitive & Physical Approach (loved it) what is a good follow up book to that? What topic should I delve into next?

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Old 07-01-2012, 08:02 PM   #2
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That's a Dover book, isn't it?

If you like math, you might want to look into some more general problem solving books, such as How to Solve It by Polya or the Art of Problem Solving series (the latter is rather pricey). I like the USSR Olympiad Problem Book (another inexpensive Dover text) very much. A list of problem solving resources can be found here.

I don't see much point in going 'further' in the math curriculum since you'll probably want or need to take the courses anyway.
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Old 07-01-2012, 08:06 PM   #3
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Yeah, but the way I see it It will be easier to study and get high grades if Im ahead.

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Old 07-01-2012, 08:32 PM   #4
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And then what happens when you stop being ahead? You can't prep for every class you will take in college.

There's no shortcut around developing good study skills.

That said, you might find the following useful:
Calculus (includes vector/multivariable calc)
Linear algebra
Differential equations

(Credit to ucbalumnus for the links.)
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Old 07-01-2012, 08:40 PM   #5
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Haha, I realize I wont always be ahead , & I have good study skills already for that, as I've found it easier to study when your interested in something (& I LOVE math )! The point is that I will be reading LONG after Ive gotten my PhD, etc. Why not start now? Haha! Thanks again though!

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Old 07-02-2012, 02:22 AM   #6
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Have you read any texts in formal logic? There will be no lack of math classes for you to take both at the community college and at the UC when you transfer but courses in advanced logic aren't nearly as common. If you really love math then you will surely enjoy formal logic, mathematical logic, the philosophy of mathematics, and other similar topics.
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Old 07-02-2012, 03:00 AM   #7
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Yeah okay, im afraid Ive never actually come across those but Ill give them a look

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