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#### Paradoxes of Measures and Dimensions Originating in Felix Hausdorff's Ideas

World Scientific Publishing Company 1994; US$ 229.00In this book, many ideas by Felix Hausdorff are described and contemporary mathematical theories stemming from them are sketched. more...

#### Elements of Topology

CRC Press 2013; US$ 99.95Topological Spaces Metric Spaces Topologies Derived Concepts Bases Subspaces Continuity and Products Continuity Product Topology Connectedness Connected Spaces Components Path-Connected Spaces Local Connectivity Convergence Sequences Nets Filters Hausdorff Spaces Countability Axioms 1st and 2nd Countable Spaces Separable... more...

#### Applications of Affine and Weyl Geometry

Morgan & Claypool Publishers 2013; US$ 45.00Pseudo-Riemannian geometry is, to a large extent, the study of the Levi-Civita connection, which is the unique torsion-free connection compatible with the metric structure. There are, however, other affine connections which arise in different contexts, such as conformal geometry, contact structures, Weyl structures, and almost Hermitian geometry. In... more...

#### A Topological Picturebook

Springer New York 2013; US$ 49.95The purpose of this book is to encourage mathematicans to illustrate their work and to help artists understand the abstract ideas expressed by such drawings. It explains the graphic design of illustrations from Thurston's world of low-dimensional geometry and topology, while presenting the principles of linear and aerial perspective from the viewpoint... more...

#### An Illustrated Introduction to Topology and Homotopy

CRC Press 2015; US$ 89.95TOPOLOGY Sets, Numbers, Cardinals, and Ordinals Sets and Numbers Sets and Cardinal Numbers Axiom of Choice and Equivalent Statements Metric Spaces: Definition, Examples, and Basics Metric Spaces: Definition and Examples Metric Spaces: Basics Topological Spaces: Definition and Examples The Definition and Some Simple Examples... more...

#### Regularity of Optimal Transport Maps and Applications

Scuola Normale Superiore 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...

#### Topological Dynamical Systems

De Gruyter 2014; US$ 154.00This bookis anelementary introduction to the theory of discrete dynamical systems, alsostressing the topological background of the topic. It treats all important concepts needed to understand recent literature from the 'applied general topology' angle. The book is addressed to graduate students and beyond. more...

#### Explorations in Topology

Elsevier Science 2013; US$ 165.00Explorations in Topology, Second Edition , provides students a rich experience with low-dimensional topology (map coloring, surfaces, and knots), enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that will help them make sense of future, more formal topology... more...

#### Recent Progress in General Topology III

Atlantis Press 2013; US$ 189.00This book presents surveys describing recent developments in most of the primary subfields of general topology and its applications to algebra and analysis. It was prepared in connection with the Prague Topological Symposium, held in 2011. more...

#### Topological Methods for Set-Valued Nonlinear Analysis

World Scientific Publishing Company 2008; US$ 255.00This book provides a comprehensive overview of the authors' pioneering contributions to nonlinear set-valued analysis by topological methods. The coverage includes fixed point theory, degree theory, the KKM principle, variational inequality theory, the Nash equilibrium point in mathematical economics, the Pareto optimum in optimization, and... more...