The book is an introduction of Gromov's theory of hyperbolic spaces and hyperbolic groups. It contains complete proofs of some basic theorems which are due to Gromov, and emphasizes some important developments on isoperimetric inequalities, automatic groups, and the metric structure on the boundary of a hyperbolic space.
The book is an introduction of Gromov's theory of hyperbolic spaces and hyperbolic groups. It contains complete proofs of some basic theorems which ar...
M. Coornaert Michel Coornaert Athanase Papadopoulos
Gromov's theory of hyperbolic groups have had a big impactin combinatorial group theory and has deep connections withmany branches of mathematics suchdifferential geometry, representation theory, ergodic theory and dynamical systems.This book is an elaboration on some ideas of Gromov onhyperbolic spaces and hyperbolic groups in relation withsymbolic dynamics. Particular attention is paid to thedynamical system defined by the action of a hyperbolic groupon its boundary. The boundary is most oftenchaotic both asa topological space and as a dynamical system, and adescription of this boundary and...
Gromov's theory of hyperbolic groups have had a big impactin combinatorial group theory and has deep connections withmany branches of mathematics such...
This book explores the work of Bernhard Riemann and its impact on mathematics, philosophy and physics. The book offers a unique resource for students and researchers in the fields of mathematics, physics and philosophy, historians of science, and more generally to a wide range of readers interested in the history of ideas.
This book explores the work of Bernhard Riemann and its impact on mathematics, philosophy and physics. The book offers a unique resource for students ...
Herbert Busemann Juan Carlos Alvare Athanase Papadopoulos
This is a two-volume collection presenting the collected works of Herbert Busemann, one of the leading geometers of the twentieth century and one of the main founders of metric geometry, convexity theory and convexity in metric spaces. Busemann also did substantial work (probably the most important) on Hilbert's Problem IV. These collected works include Busemann's most important published articles on these topics.
Volume I of the collection features Busemann's papers on the foundations of geodesic spaces and on the metric geometry of Finsler spaces.
Volume II includes...
This is a two-volume collection presenting the collected works of Herbert Busemann, one of the leading geometers of the twentieth century and one o...
This is a two-volume collection presenting the collected works of Herbert Busemann, one of the leading geometers of the twentieth century and one of the main founders of metric geometry, convexity theory and convexity in metric spaces.
This is a two-volume collection presenting the collected works of Herbert Busemann, one of the leading geometers of the twentieth century and one of t...
Despite its importance in the history of Ancient science, Menelaus' Spherics is still by and large unknown. This treatise, which lies at the foundation of spherical geometry, is lost in Greek but has been preserved in its Arabic versions. The reader will find here, for the first time edited and translated into English, the essentials of this tradition, namely: a fragment of an early Arabic translation and the first Arabic redaction of the Spherics composed by al-Māhānī /al-Harawī, together with a historical and mathematical study of Menelaus' treatise....
Despite its importance in the history of Ancient science, Menelaus' Spherics is still by and large unknown. This treatise, which lies at t...
