02878nam 22004215a 450 991015193650332120091109150325.03-03719-536-310.4171/036(CKB)3710000000953810(CH-001817-3)58-091109(PPN)178155225(EXLCZ)99371000000095381020091109j20070524 fy 0engurnn|mmmmamaatxtrdacontentcrdamediacrrdacarrierElements of Asymptotic Geometry[electronic resource] /Sergei Buyalo, Viktor SchroederZuerich, Switzerland European Mathematical Society Publishing House20071 online resource (212 pages)EMS Monographs in Mathematics (EMM) ;2523-5192Asymptotic geometry is the study of metric spaces from a large scale point of view, where the local geometry does not come into play. An important class of model spaces are the hyperbolic spaces (in the sense of Gromov), for which the asymptotic geometry is nicely encoded in the boundary at infinity. In the first part of this book, in analogy with the concepts of classical hyperbolic geometry, the authors provide a systematic account of the basic theory of Gromov hyperbolic spaces. These spaces have been studied extensively in the last twenty years, and have found applications in group theory, geometric topology, Kleinian groups, as well as dynamics and rigidity theory. In the second part of the book, various aspects of the asymptotic geometry of arbitrary metric spaces are considered. It turns out that the boundary at infinity approach is not appropriate in the general case, but dimension theory proves useful for finding interesting results and applications. The text leads concisely to some central aspects of the theory. Each chapter concludes with a separate section containing supplementary results and bibliographical notes. Here the theory is also illustrated with numerous examples as well as relations to the neighboring fields of comparison geometry and geometric group theory. The book is based on lectures the authors presented at the Steklov Institute in St. Petersburg and the University of Zurich. It addressed to graduate students and researchers working in geometry, topology, and geometric group theory.Differential & Riemannian geometrybicsscGeometrymscDifferential geometrymscDifferential & Riemannian geometryGeometryDifferential geometry51-xx53-xxmscBuyalo Sergei1071021Schroeder Viktorch0018173BOOK9910151936503321Elements of Asymptotic Geometry2565667UNINA01830nam 2200361 n 450 99639599860331620221107215315.0(CKB)4330000000333072(EEBO)2240852619(UnM)99848169(EXLCZ)99433000000033307219920102d1581 uy |engurbn||||a|bb|Positions vvherin those primitiue circumstances be examined, which are necessarie for the training vp of children, either for skill in their booke, or health in their bodie. VVritten by Richard Mulcaster, master of the schoole erected in London anno. 1561. in the parish of Sainct Laurence Povvntneie, by the vvorshipfull companie of the merchaunt tailers of the said citie[electronic resource]Printed at London By Thomas Vautrollier for Thomas Chare [i.e. Chard]1581[16], 302, [2] pWith a final errata leaf.Reproduction of the original in the Henry E. Huntington Library and Art Gallery.eebo-0113EducationEarly works to 1800Exercise for childrenEarly works to 1800EducationExercise for childrenMulcaster Richard1530?-1611.195673Cu-RivESCu-RivESCStRLINWaOLNBOOK996395998603316Positions vvherin those primitiue circumstances be examined, which are necessarie for the training vp of children, either for skill in their booke, or health in their bodie. VVritten by Richard Mulcaster, master of the schoole erected in London anno. 1561. in the parish of Sainct Laurence Povvntneie, by the vvorshipfull companie of the merchaunt tailers of the said citie2360551UNISA