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I can do Riemann integrals. How do I learn double and triple

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I can do Riemann integrals. How do I learn double and triple integrals?

No memes please.
>>
You just change bounds so you can do dx then dy, or whatever order is easiest, then integrate separately usually. Sometimes you'll change to polar or spherical coordinates. This is a generalization though.
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>>7733605
You integrate with respect to the product measure.
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>>7733609
Is it harder than normal Riemann integration?
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>>7733614
You almost never explicitly do "Riemann integration". What you do in most cases is applying the fundamental theorem of calculus. Only difference in more than 1 dimension is that you need geometric intuition on the question of what domain you're actually integrating over.
>>
>>7733620
>You almost never explicitly do "Riemann integration"
Oh boy we did a lot with this, literally proving it with sums and all that.

Isn't there something like a pdf that explains it fast?
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>>7733605
Just get a pdf of some babbys first multivariable calculus. You'll see how it translates into multiple variable pretty easily.
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>>7733626
You'll find a lot of good explanations on google. Don't be lazy, just do it.
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File: 1448163051803.gif (545KB, 720x405px) Image search: [Google]
1448163051803.gif
545KB, 720x405px
>>7733647
>calculus for infants

does this mean i can finally learn calculus?
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>>7733605
Double and triple integrals are Riemann integrals
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>>7733735
Not always. There are many other types of integrals. Please don't comment on topics you don't understand.
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>>7733735
Unless you use Lebesgue's construction or differential forms or another formulation
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>>7733744
How does it matter wether it's single, double, or triple, and if it's Rieman integrable?

Riemann integration applies to functions defined over any set with a finitely additive measure.
And some functions over an interval are not integrable for Riemann bit are for Lebesgue. So why are you making it sound like it's the single/double distinction that matters?
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>>7733772
>making it sound like it's the single/double distinction that matters
No, I was saying double and triple integrals are not necessarily Riemann integrals. Like f(x,y)=0 for rational x,y and 1 else over [0,1]X[0,1].
>>
If you're not ready to meme, you're not ready to integrate. I can assure you that all of your math professors were the official memesters of their respective classes.
Thread posts: 15
Thread images: 3


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