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#### Regularity of Optimal Transport Maps and Applications

Springer 2013; US$ 29.99In this thesis, we study the regularity of optimal transport maps and its applications to the semi-geostrophic system. The first two chapters survey the known theory, in particular there is a self-contained proof of Brenier? theorem on existence of optimal transport maps and of Caffarelli?s Theorem on Holder continuity of optimal maps. In the third... more...

#### Invariant Distances and Metrics in Complex Analysis

De Gruyter 2013; US$ 224.00As in the field of "Invariant Distances and Metrics in Complex Analysis" there was and is a continuous progress this is the second extended edition of the corresponding monograph. This comprehensive book is about the study of invariant pseudodistances (non-negative functions on pairs of points) and pseudometrics (non-negative functions on the tangent... more...

#### Groupoid Metrization Theory

Springer 2012; US$ 129.00The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric geometry. The presentation is self-contained with complete, detailed proofs, and a large number of examples and counterexamples are provided.Unique... more...

#### Encyclopedia of Distances

Springer 2012; US$ 149.00This updated and revised second edition of the leading reference volume on distance metrics includes a wealth of new material that reflects advances in a developing field now regarded as an essential tool in many areas of pure and applied mathematics. Its publication coincides with intensifying research efforts into metric spaces and especially... more...

#### Algebra in the Stone-Cech Compactification

De Gruyter 2011; US$ 980.00This book ?now in its second revised and extended edition ?is a self-contained exposition of the theory of compact right semigroupsfor discrete semigroups and the algebraic properties of these objects. The methods applied in the book constitute a mosaic of infinite combinatorics, algebra, and topology. The reader will find numerous combinatorial applications... more...

#### An Introduction to Metric Spaces and Fixed Point Theory

Wiley 2011; US$ 189.00Presents up-to-date Banach space results. * Features an extensive bibliography for outside reading. * Provides detailed exercises that elucidate more introductory material. more...

#### Topics on Continua

Taylor and Francis 2010; US$ 119.95Specialized as it might be, continuum theory is one of the most intriguing areas in mathematics. However, despite being popular journal fare, few books have thoroughly explored this interesting aspect of topology. In Topics on Continua , Sergio Macías, one of the field?s leading scholars, presents four of his favorite continuum topics: inverse limits,... more...

#### Optimization on Metric and Normed Spaces

Springer 2010; US$ 179.00Optimization on Metric and Normed Spaces is devoted to the recent progress in optimization on Banach spaces and complete metric spaces. Optimization problems are usually considered on metric spaces satisfying certain compactness assumptions which guarantee the existence of solutions and convergence of algorithms. This book considers spaces that do... more...

#### Dictionary of Distances

Elsevier Science 2006; US$ 210.00This 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... more...

#### Compactifications of Symmetric and Locally Symmetric Spaces

Springer 2006; US$ 119.00Noncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories, including analysis (representation theory, nonabelian harmonic analysis), number theory (automorphic forms), algebraic geometry (modulae) and algebraic topology (cohomology of discrete groups). In most applications, it is necessary to form an appropriate... more...