Recent content by AnalysisQuest

Hi guys, I'm about to finish my Bachelor's in Mathematics and Statistics and am currently applying to PhD programs in Applied Math/Scientific Computing. My research interests are in PDEs, Numerical Analysis, and Fluid Dynamics. However, I am a little hesitant about proceeding because I'm...

The problem is that I don't know how to split up the k-volume term and I don't know how to deal with phi x psi. Unless what I've done so far is completely wrong. I've been stuck for days now and I'm just frustrated and missing something obvious, I think.

Homework Statement This problem is in Analysis on Manifolds by Munkres in section 25. R means the reals Suppose M \subset R^m and N \subset R^n be compact manifolds and let f: M \rightarrow R and g: N \rightarrow R be continuous functions. Show that \int_{M \times N} fg = [\int_M f] [...