EMS Textbooks in Mathematics 2012; 203 pp; hardcover Volume: 13 ISBN10: 3037191120 ISBN13: 9783037191125 List Price: US$44 Member Price: US$35.20 Order Code: EMSTEXT/13
 Large scale geometry is the study of geometric objects viewed from a great distance. The idea of large scale geometry can be traced back to Mostow's work on rigidity and the work of Švarc, Milnor, and Wolf on growth of groups. In the last decades, large scale geometry has found important applications in group theory, topology, geometry, higher index theory, computer science, and large data analysis. This book provides a friendly approach to the basic theory of this exciting and fast growing subject and offers a glimpse of its applications to topology, geometry, and higher index theory. The authors have made a conscientious effort to make the book accessible to advanced undergraduate students, graduate students, and nonexperts. A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society. Readership Advanced undergraduate students, graduate students, and nonexperts interested in large scale geometry. Table of Contents  Metric spaces and large scale geometry
 Asymptotic dimension and decomposition complexity
 Amenability
 Property A
 Coarse embeddings
 Group actions on Banach spaces
 Coarse homology
 Survey of applications
 References
 Index
