Convex Figures And Polyhedra | L. A. Lyusternik
Convex Figures And Polyhedra
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Author: L. A. Lyusternik
Added by: mirtitles
Added Date: 2021-05-26
Publication Date: 1966
Subjects: mathematics, convex figures, polyhedras, symmetry, networks, linear systems, minkowski theorem, alexandrov theorem, congruence
Collections: mir-titles, additional collections
Pages Count: 300
PPI Count: 300
PDF Count: 1
Total Size: 89.60 MB
PDF Size: 6.23 MB
Extensions: epub, pdf, gz, html, zip, torrent
Downloads: 1.92K
Views: 51.92
Total Files: 16
Media Type: texts
Description
The theory of convex figures and polyhedra provides an excellent example of a body of mathematical knowledge that offers theorems with elementary formulations and vivid geometric meaning. Despite this simplicity of formulation, the proofs are often not elementary. Thus the area presents a particular challenge to mathematicians, who have investigated convex figures and polyhedra for millenia, and yet have by far not exhausted the subject. Many of the theorems in this volume were in fact proved only a few years ago.
The material in this book will be suitable for study in mathe matics clubs or by readers with a background of secondary school mathematics only. The topics considered are stimulating and chal lenging, and moreover, convexity ideas are valuable in the study of modem higher mathematics. Mathematical analysis, higher geome try, and topology each use convexity notions in an essential way.