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MULTILINEAR FUNCTIONS OF DIRECTION

MULTILINEAR FUNCTIONS OF DIRECTION

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The exposition is throughout clear and interesting. The subject matter provides one more example of the way in which mathematics covers the domains of abstract thought with ideas of ever increasing generality.

The distinctive feature of this work is that the functions discussed are primarily not functions of a single variable direction, but functions of several independent directions.

Functions of a single direction emerge when the directions originally independent become related, and a large number of elementary theorems of differential geometry express in different terms a few properties of a few simple functions.
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