Markushevich Remarkable Curves LML Perisan
Author: A. I. Markushevich
Added by: mirtitles
Added Date: 2019-12-20
Language: per
Subjects: mathematics, graphs, equations, curves, algebra, geometry, high school
Collections: mir-titles, additional collections
Pages Count: 333
PPI Count: 333
PDF Count: 1
Total Size: 20.80 MB
PDF Size: 2.14 MB
Extensions: pdf, gz, zip, torrent
Downloads: 739
Views: 789
Total Files: 10
Media Type: texts
Total Files: 4
Last Modified: 2019-12-20 15:54:35
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Description
This book has been written mainly for high school students, but it will also be helpful to anyone studying on their own whose mathematical education is confined to high school mathematics. The book is based on a lecture I gave to Moscow schoolchildren of grades 7 and 8 (13 and 14 years old).
In preparing the lecture for publication I expanded the material,while at the same time trying not to make the treatment any less accessible. The most substantial addition is Section 13 on the ellipse, hyperbola and parabola viewed as conic sections.
For the sake of brevity most of the results on curves are given without proof, although in many cases their proofs could have been given in a form that readers could understand.
The third Russian edition is enlarged by including the results on Pascal's and Brianchon's theorems (on inscribed and circumscribed hexagons), the spiral of Archimedes, the catenary, the logarithmic spiral and the involute of a circle.
The book was translated into Persian by S. Valeri and published by Mir in 1983.