Integral Calculus

Part of the Die Grundlehren der mathematischen Wissenschaften book series (GL, volume 102)


Let A(x)be a p-linear alternating operator defined in the open domain G x m of the linear space R x m : for each fixed x in G x m
$$ y = A(x)h_1 ...h_p = A(x)d_1 x...d_p x $$
is a p-linear alternating function of the vectors \({h_i} = {d_i}x \in R_x^m\) with range in a linear space R y n . Such a function is called an alternating differential of pth degree.


Vector Function Fundamental Form Remainder Term Transformation Formula Integral Calculus 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1973

Authors and Affiliations

  1. 1.Department of Mathematics, UniversityHelsinkiFinland

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