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The Shortest Lines Variational Problems (Little Mathematics Library) | |
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Original Title | The Shortest Lines Variational Problems (Little Mathematics Library) |
Author | L. A. Lyusternik |
Publication date |
1983 |
Topics | 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 |
Collection | mir-titles, additional_collections |
Book Type | EBook |
Material Type | Book |
File Type | |
Downloadable | Yes |
Support | Mobile, Desktop, Tablet |
Scan Quality: | Best No watermark |
PDF Quality: | Good |
Availability | Yes |
Price | 0.00 |
Submitted By | mirtitles |
Submit Date | |
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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The Shortest Lines Variational Problems (Little Mathematics Library)
| L. A. Lyusternik
The Shortest Lines Variational Problems (Little Mathematics Library) Original Title The Sh


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