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Topics in Dynamics and Ergodic Theoryby Sergey Bezuglyi; Sergiy Kolyada; J. W. S. Cassels
Cambridge University Press 2003; US$ 64.00This book contains a collection of survey papers by leading researchers in ergodic theory, low-dimensional and topological dynamics and it comprises nine chapters on a range of important topics. more...
Topology for Computingby Afra J. Zomorodian; P. G. Ciarlet; A. Iserles; R. V. Kohn; M. H. Wright
Cambridge University Press 2005; US$ 38.00This concise, self-contained introduction to topology and Morse theory from a computational point of view shows how to solve real problems that have topological aspects using computers. Applications include computer graphics, robotics, structural biology, and chemistry. more...
Poincaré Duality Algebras, Macaulay's Dual Systems, and Steenrod Operationsby Dagmar M. Meyer; Larry Smith; B. Bollobas; W. Fulton; A. Katok; F. Kirwan; P. Sarnak; B. Simon
Cambridge University Press 2005; US$ 94.00As the title suggests, in this Tract the authors skilfully bring together several key notions and apply them to problems in invariant theory. A number of remarkable and unexpected interdisciplinary connections are revealed that will interest researchers in the areas of commutative algebra, invariant theory or algebraic topology. more...
Geometry and Topologyby Miles Reid; Balazs Szendroi
Cambridge University Press 2005; US$ 46.00Geometry, literally, measuring the earth, aims to describe the world around us. It is central to many branches of mathematics and physics, and offers a whole range of views on the universe. This is an introduction to the ideas of geometry and includes generous helpings of simple explanations and examples. more...
Topics on Continuaby Sergio Macias
CRC Press 2005; US$ 89.95Papers on continuum theory show up fairly frequently in journals. Macias (Instituto de Matematicas, Mexico) gives the requisite background so often missing in descriptions of this aspect of topology, as well as some of his favorite topics, including Jones's set function T, homogeneous continua, and n-fold hyperspaces, offering the first detailed, s more...
Bitopological Spacesby Badri Dvalishvili
Elsevier 2005; US$ 220.00This monograph is the first and an initial introduction to the theory of bitopological spaces and its applications. In particular, different families of subsets of bitopological spaces are introduced and various relations between two topologies are analyzed on one and the same set; the theory of dimension of bitopological spaces and the theory of Baire bitopological spaces are constructed, and various classes of mappings of bitopological spaces are studied. The previously known results as well the results obtained in this monograph are applied in analysis, potential theory, general topology, and theory of ordered topological spaces. Moreover, a high level of modern knowledge of bitopological spaces theory has made it possible to introduce and... more...
Dictionary of Distancesby Michel-Marie Deza; Elena Deza
Elsevier 2006; US$ 195.00This book comes out of need and urgency (expressed especially in areas of Information Retrieval with respect to Image, Audio, Internet and Biology) to have a working tool to compare data. The book will provide powerful resource for all researchers using Mathematics as well as for mathematicians themselves. In the time when over-specialization and terminology fences isolate researchers, this Dictionary try to be "centripedal" and "oikoumeni", providing some access and altitude of vision but without taking the route of scientific vulgarisation. This attempted balance is the main philosophy of this Dictionary which defined its structure and style. Key features: - Unicity: it is the first book treating the basic notion of Distance in whole... more...
Open Problems in Topology IIby Elliott M. Pearl
Elsevier 2007; US$ 106.00This volume is a collection of surveys of research problems in topology and its applications. The topics covered include general topology, set-theoretic topology, continuum theory, topological algebra, dynamical systems, computational topology and functional analysis. * New surveys of research problems in topology * New perspectives on classic problems * Representative surveys of research groups from all around the world more...
History of Topologyby I.M. James
Elsevier 2006; US$ 315.00Topology, for many years, has been one of the most exciting and influential fields of research in modern mathematics. Although its origins may be traced back several hundred years, it was Poincaré who "gave topology wings" in a classic series of articles published around the turn of the century. While the earlier history, sometimes called the prehistory, is also considered, this volume is mainly concerned with the more recent history of topology, from Poincaré onwards. As will be seen from the list of contents the articles cover a wide range of topics. Some are more technical than others, but the reader without a great deal of technical knowledge should still find most of the articles accessible. Some are written by professional... more...
Leray-Schauder Type Alternatives, Complemantarity Problems and Variational Inequalitiesby George Isac
Springer-Verlag New York Inc 2006; US$ 149.00Complementarity theory, a relatively new domain in applied mathematics, has deep connections with several aspects of fundamental mathematics and also has many applications in optimization, economics and engineering. This book discusses complementarity theory and variational inequalities using Leray-Schauder type alternatives. more...









