Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I am stucking with theorem 3.13 p67 Calculus on manifold of M Spivak. I don't understand how he obtains $\int_{g(U)} \phi. f=\int_{U}(\phi. f)(g)|\det g'|$. And which books should i read about partition of unity and proof of changing variable in multiple integral apart from Spivak one? Thanks in advanced for you help!

share|improve this question
Please be more specific. You might want to take a look at Analysis on Manifolds by Munkres. –  wj32 Oct 24 '12 at 10:25

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.