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

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The Shortest Lines Variational Problems (Little Mathematics Library)

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The Shortest Lines Variational Problems (Little Mathematics Library)

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Author: L. A. Lyusternik

Added by: mirtitles

Added Date: 2021-10-25

Subjects: high 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

Collections: mir-titles, additional collections

Pages Count: 300

PPI Count: 300

PDF Count: 1

Total Size: 50.86 MB

PDF Size: 4.37 MB

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Downloads: 2.94K

Views: 52.94

Total Files: 16

Media Type: texts

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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.

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