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The Shortest Lines Variational Problems (Little Mathematics Library) by L. A. Lyusternik

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Book Information

TitleThe Shortest Lines Variational Problems (Little Mathematics Library)
CreatorL. A. Lyusternik
Year1983
PPI300
Mediatypetexts
Subjecthigh school mathematics, little mathematics library, soviet, mir books, mir publishers, variational problems, minima, maxima, surfaces, planes, space curves, geodesics, potential energy, isoperimetric problems, fermat's principle, corollaries, sphere, cylinder, polyhedra, cone, tangents, normals, refraction curve, catenary, relation between mechanics and optics, minimal surface of revolution
Collectionmir-titles, additional_collections
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Identifierlyusternik-the-shortest-lines-variational-problems-little-mathematics-library
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Description

A pamphlet based on lectures read 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.