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#### Regularity of Optimal Transport Maps and Applications

Scuola Normale Superiore 2013; US$ 16.84In 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...

#### Topics on Continua

CRC Press 2005; US$ 125.95Specialized 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...

#### 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...

#### Hausdorff Gaps and Limits

Elsevier Science 1994; US$ 72.95Gaps and limits are two phenomena occuring in the Boolean algebra P (&ohgr;)/fin. Both were discovered by F. Hausdorff in the mid 1930's. This book aims to show how they can be used in solving several kinds of mathematical problems and to convince the reader that they are of interest in themselves. The forcing technique, which is not commonly known,... more...

#### Optimization on Metric and Normed Spaces

Springer New York 2010; US$ 157.24Optimization 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...

#### Linear Approximations in Convex Metric Spaces and the Applicatn in the Mixture Theory of Probability

World Scientific Publishing Company 1993; US$ 58.00 US$ 47.56This book focuses on the problem of linear approximability, or decomposability for distribution functions. While questions concerning this topics had been raised long ago, only “ad hoc” procedures had been found out. Here, the author deals with the treatment of general methods for this problem. more...

#### Hewitt-Nachbin Spaces

Elsevier Science 2013; US$ 72.95North-Holland Mathematics Studies: Hewitt-Nachbin Spaces exposes the theory of Hewitt-Nachbin spaces, also called realcompact or Q-spaces, taking into account synergistic points of view from which these spaces are investigated. The publication first offers information on embedding in topological products and Hewitt-Nachbin spaces and convergence,... more...

#### Compactifications of Symmetric and Locally Symmetric Spaces

Birkhäuser Boston 2006; US$ 106.03Noncompact 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...

#### Encyclopedia of Distances

Springer Berlin Heidelberg 2012; US$ 101.08This updated and revised second edition of the leading reference volume on distance metrics includes a wealth of new material that reflects advances in a field now regarded as an essential tool in many areas of pure and applied mathematics. more...