β Scribed by Toby Weston
No coin nor oath required. For personal study only.
Introduction; Tudor Zamfirescu: From Convex to Magic; 1 Born as a Counter-Example; 2 Back to Roumania at the Worst Moment; 3 Student in Mathematics; 4 Against the Current Trend; 5 Joint Paper with A.S. Besicovitch; 6 Tudor in his Own Words; 7 Hangan's Role; 8 Invited to Bochum; 9 Rapidly Adapted in Germany; 10 Two Kinds of Problems; 11 From Continuous Mathematics to Discrete Geometry; 12 Most Monotone Functions are Singular; 13 The Curvature of most Surfaces Vanishes Almost Everywhere; 14 To See, to Debate, to Understand; 15 Porosity and Convexity.;This volume presents easy-to-understand yet surprising properties obtained using topological, geometric and graph theoretic tools in the areas covered by the Geometry Conference that took place in Mulhouse, France from September 7-11, 2014 in honour of Tudor Zamfirescu on the occasion of his 70th anniversary. The contributions address subjects in convexity and discrete geometry, in distance geometry or with geometrical flavor in combinatorics, graph theory or non-linear analysis. Written by top experts, these papers highlight the close connections between these fields, as well as ties to other domains of geometry and their reciprocal influence. They offer an overview on recent developments in geometry and its border with discrete mathematics, and provide answers to several open questions. The volume addresses a large audience in mathematics, including researchers and graduate students interested in geometry and geometrical problems.
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