Erwin Kreyszig 10.8 第一題和第九提
1.(Harmonec functions)Verify Theorem 1 for f=2x^2+2y^2-4z^2 and S the
surface of the cube 0≦x≦1 0≦y≦1 0≦z≦1
9.Show that a region T with boundary surface S has the volume
V=∫∫xdydz =∫∫ydzdx =∫∫zdxdy =(1/3)∫∫(xdydz+ydzdx+zdxdy)
請大大幫忙~~
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