We consider several appearances of the notion of convexity in Greek antiquity, more specifically in mathematics and optics, in the writings of Aristotle, and in art. The final version of this article will appear in the book ``Geometry in History", ed. S. G. Dani and A. Papadopoulos, Springer Verlag, 2019
International audienceThis paper traces the intellectual continuity existing in the analysis of geom...
Convex polyhedra are among the oldest mathematical objects. Indeed the five platonic solids, which c...
This is the first comprehensive monograph to thoroughly investigate constant width bodies, which is ...
International audienceWe consider several appearances of the notion of convexity in Greek antiquity,...
We describe a path in the history of curvature, starting from Greek antiquity, in the works of Eucli...
In this paper, convexity and concavity among Greek means are discussed and the results are interpret...
Abstract—This is an overview of the origin and basic ideas of abstract convexity. DOI: 10.1134/S1990...
Abstract. This is a talk on interaction of the techniques of positivity and abstract convexity in fu...
The history of the geometric thought evolution derives only in small part from direct written source...
Like differentiability, convexity is a natural and powerful property of functions that plays a signi...
Convexity is important in theoretical aspects of mathematics and also for economists and physicists....
To convexify a polygon is to reconfigure it with respect to a given set of operations until the poly...
International audienceThis paper traces the intellectual continuity existing in the analysis of geom...
International audienceThis paper traces the intellectual continuity existing in the analysis of geom...
This book provides a self-contained introduction to convex geometry in Euclidean space. After coveri...
International audienceThis paper traces the intellectual continuity existing in the analysis of geom...
Convex polyhedra are among the oldest mathematical objects. Indeed the five platonic solids, which c...
This is the first comprehensive monograph to thoroughly investigate constant width bodies, which is ...
International audienceWe consider several appearances of the notion of convexity in Greek antiquity,...
We describe a path in the history of curvature, starting from Greek antiquity, in the works of Eucli...
In this paper, convexity and concavity among Greek means are discussed and the results are interpret...
Abstract—This is an overview of the origin and basic ideas of abstract convexity. DOI: 10.1134/S1990...
Abstract. This is a talk on interaction of the techniques of positivity and abstract convexity in fu...
The history of the geometric thought evolution derives only in small part from direct written source...
Like differentiability, convexity is a natural and powerful property of functions that plays a signi...
Convexity is important in theoretical aspects of mathematics and also for economists and physicists....
To convexify a polygon is to reconfigure it with respect to a given set of operations until the poly...
International audienceThis paper traces the intellectual continuity existing in the analysis of geom...
International audienceThis paper traces the intellectual continuity existing in the analysis of geom...
This book provides a self-contained introduction to convex geometry in Euclidean space. After coveri...
International audienceThis paper traces the intellectual continuity existing in the analysis of geom...
Convex polyhedra are among the oldest mathematical objects. Indeed the five platonic solids, which c...
This is the first comprehensive monograph to thoroughly investigate constant width bodies, which is ...