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What text would you all recommend for a quick and dirty overview of multivariable/vector calculus? I took "Calc 4" at a local community college, and the content of the course was somewhat minimal. I know how to compute partial derivatives, multiple integrals, ect, but I feel like there is a lot I still need to learn. Stoke's/Greene's Theorems are the names that come to mind, as in, stuff I could touch up on. I'm a math major who is really interested in physics, and I want to take classical mechanics, but I don't wanna get left behind. Books?
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>>8624371
For "quick and dirty overview" read Schey's "Div, Grad, Curl, and All That: An Informal Text on Vector Calculus". But a deeper second pass with Hubbard and Hubbard's "Vector Calculus, Linear Algebra and Differential Forms: A Unified Approach" would be more beneficial if you have the time to spare.
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>>8624401
Hey, thanks for the reply. I was also thinking about taking a course in vector analysis. Would Hubbard's text prepare me for that?
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>>8624371
Just read paul's notes
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>>8624429
Paul's notes?
http://tutorial.math.lamar.edu/?
Probably could be useful, thanks!
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>>8624463
Yep that's it.
I took calc III and IV simultaneously and probably wouldn't have been able to do well without paul's notes
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>>8624371
idk man i skipped ahead to ode's
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>calc 4
How has noone noticed this
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>>8624401
Would you happen to have a link to a torrent or pdf of hubbards book on vector calc? I cant find one.
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Calculus: A complete course
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>>8625659
search it on libgen, it's there.
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>>8624371
You'll pick it up as you go--don't worry about it. Classical mechanics at the intermediate level isn't too vector calc heavy (most undergrads haven't learned it well by then), and really is pretty chill mathematically. You'll have to know how to do chain rule for 3d vectors, how to diagonalize a matrix, and a little basic calculus. But you'll pick it up.
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>>8624371
don't be a pussy and learn differential geometry, best book is loring w. tu's introduction to manifolds. work through it and when you don't really comprehend some concept (e.g. the chain rule), just google it. you'll learn much more and you'll master vector calc along the way as a by-product.
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>>8625125
some colleges split calculus into 4 or even 5 different classes just to get more money from people who don't know better
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>>8624371
Open your calculus book and read, fuck.
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