Bøger af Athanase Papadopoulos

The book is the second volume of a collection which consists of surveys that focus on important topics in geometry which are at the heart of current research. The topics in the present volume include the conformal and the metric geometry of surfaces, Teichmüller spaces, immersed surfaces of prescribed extrinsic curvature in 3-dimensional manifolds, symplectic geometry, the metric theory of Grassmann spaces, homogeneous metric spaces, polytopes, the higher-dimensional Gauss-Bonnet formula, isoperimetry in finitely generated groups and Coxeter groups.Each chapter is intended for graduate students and researchers. Several chapters are based on lectures given by their authors to middle-advanced level students and young researchers. The whole book is intended to be an introduction to important topics in geometry.

This volume presents the beautiful memoirs of Euler, Lagrange and Lambert on geography, translated into English and put into perspective through explanatory and historical essays as well as commentaries and mathematical notes. These works had a major impact on the development of the differential geometry of surfaces and they deserve to be studied, not only as historical documents, but most of all as a rich source of ideas.

Menelaus¿ Spherics is at the foundation of spherical geometry. Before the Greek original was lost, this treatise was translated several times into Arabic. This book contains the editio princeps and the first translation of two texts: a fragment of an early Arabic translation, and the first Arabic version of the Spherics written by al-M¿h¿n¿ /al-Haraw¿. It also includes a historical and mathematical study of Menelaus¿ treatise.