Donaldson S., Eliashberg Y., Gromov M. (editors) Different Faces of Geometry

Springer, 2004. - 425 Pages.Different Faces of Geometry - edited by the world renowned geometers S. Donaldson, Ya. Eliashberg, and M. Gromov - presents the current state, new results, original ideas and open questions from important topics in modern geometry.Preface. Modern information technology allows most mathematicians unprecedented access to the research literature. Published papers, reviews and preprints can be obtained in a few seconds. This mountain of information makes the need for articles which illuminate and survey important
developments all the greater.Our volume brings together articles by leading experts on a variety of different topics which are the scene of exciting current activity. Geometry is famously hard to pin down, and means many different things to different mathematicians: it is probably best interpreted as a way of thought rather than a collection of specific subject areas-there is, perhaps, no branch of mathematics which cannot be considered a part of geometry, when approached in the right spirit.Certainly we have not set out to cover all the main topics which would normally be denoted as geometry (for example, there is relatively little in the volume on algebraic geometry, nor on the interface between partial differential equations and Riemannian geometry); but we hope and believe that these articles will give a valuable picture of some major areas.