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The Shortest Lines by L.A. Lyusternik

The Shortest Lines

by L.A. Lyusternik

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A pamphlet based on lectures by the author to Moscow University's schools mathematics club.
Deals in an elementary way with a number of variational problems, such as finding the shortest curve uniting two points on a given surface. Suitable for readers with "O" level mathematics.
Contents:- Shortest lines on simple surfaces. Some properties of plane and space curves and associated problems. Geodesic lines, problems associated with the potential energy of stretched threads. The isoperimetric problem. Fermat's principle and its corollaries.
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