A Book recommendation for double Integrals?

Question

I have a really hard time learning Double Integrals, which I attempted to understand when I first saw the use of polar co-ordinates for Integrals. So my goal is to learn double Integrals and also learn how polar co ordinates is being applied. I'm looking for a book that goes step by step, and which teaches me things like how $dx dy$ changes to $r dr d\theta$, (this is only one example) etc (everything).

In short I'm looking for something like "Double Integrals with polar co-ordinates for dummies"

Please help me. Thanks.

Answer 1

For double integration, I like the following two references:

• Schaum's Outline of Advanced Calculus by Robert Wrede

http://www.amazon.co.uk/Schaums-Outline-Advanced-Calculus-Third/dp/0071623663/ref=sr_1_1?ie=UTF8&qid=1433163359&sr=8-1&keywords=schaum+outline+advanced+calculus

This has plenty of solved and unsolved problems and explains double integration well.

• Multivariable Calculus by James Stewart

http://www.amazon.co.uk/Multivariable-Calculus-James-Stewart/dp/0538497874/ref=dp_ob_image_bk

Another great reference that I found breaks down double integration well.

Hope that helps.