New Titles  |  FAQ  |  Keep Informed  |  Review Cart  |  Contact Us Quick Search (Advanced Search ) Browse by Subject General Interest Logic & Foundations Number Theory Algebra & Algebraic Geometry Discrete Math & Combinatorics Analysis Differential Equations Geometry & Topology Probability & Statistics Applications Mathematical Physics Math Education
 IRMA Lectures in Mathematics and Theoretical Physics 2004; 300 pp; softcover Volume: 6 ISBN-10: 3-03719-010-8 ISBN-13: 978-3-03719-010-4 List Price: US$54 Member Price: US$43.20 Order Code: EMSILMTP/6 This book covers metric spaces of nonpositive curvature in the sense of Busemann, that is, metric spaces whose distance function satisfies a convexity condition. Also contained is a systematic introduction to the theory of geodesics as well as a detailed presentation of some facets of convexity theory, which are useful in the study of nonpositive curvature. Concepts and techniques discussed in the volume are illustrated by many examples from classical hyperbolic geometry and from the theory of Teichmüller spaces. It is useful for graduate students and researchers in geometry, topology and analysis. A publication of the European Mathematical Society. Distributed within the Americas by the American Mathematical Society. Readership Graduate students and researchers in geometry, topology and analysis. Table of Contents Introduction: Some historical markers Lengths of paths in metric spaces Length spaces and geodesic spaces Maps between metric spaces Distances Convexity in vector spaces Convex functions Strictly convex normed vector spaces Busemann spaces Locally convex spaces Asymptotic rays and the visual boundary Isometries Busemann functions, co-rays and horospheres References Index