Ян Арнольдус Схоутен

Quotes

• “In differential geometry conditions of integrability frequently occur, but in the cases usually investigated only the first of these conditions has to be considered. In 1922 ... Eisenhart and Veblen gave a necessary and sufficient condition that a geometry of paths be a Riemann geometry by using a new method of treating the conditions of integrability of higher order.”
• “Tensor calculus would not exist in its modern form if there had never been a theory of relativity. The ties between these two branches of mathematics and physics are so many that they would fill a big textbook. ... Although the affine invariant form of the electromagnetic equations was not unknown to preceding authors, ... van Dantzig was the first to develop in a long series of publications a consistent theory of relativity which was independent of metrical geometry.”

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Prof. Dr. Ir. J. A. Schouten, 1939.jpg

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