In the first two chapters of this book, we developed the basics of measure and integration theory, and, in the third, we deepened our knowledge of manifolds and introduced the theory of differential forms. We are now ready to extend integration theory to manifolds, which means we will be able to integrate over “curved spaces”.
KeywordsTransport Theorem Transformation Theorem Piecewise Smooth Domain Lebesgue Volume Measure Countable Atlas
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