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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...

#### 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...

#### 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...

#### Topology Optimization in Structural and Continuum Mechanics

Springer 2013; US$ 249.00The book covers new developments in structural topology optimization. Basic features and limitations of Michell?s truss theory, its extension to a broader class of support conditions, generalizations of truss topology optimization, and Michell continua are reviewed. For elastic bodies, the layout problems in linear elasticity are discussed and the... more...

#### 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...

#### 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

Springer 2013; US$ 189.00The book presents surveys describing recent developments in most of the primary subfields of General Topology, and its applications to Algebra and Analysis during the last decade, following the previous editions (North Holland, 1992 and 2002). The book was prepared in connection with the Prague Topological Symposium, held in 2011. more...

#### Essentials of Topology with Applications

CRC Press 2009; US$ 109.95Fundamentals What Is Topology? First Definitions Mappings The Separation Axioms Compactness Homeomorphisms Connectedness Path-Connectedness Continua Totally Disconnected Spaces The Cantor Set Metric Spaces Metrizability Baire?s Theorem Lebesgue?s Lemma and Lebesgue Numbers Advanced Properties of Topological... more...

#### Dynamics and Symmetry

World Scientific Publishing Company 2007; US$ 234.00This book contains the first systematic exposition of the global and local theory of dynamics equivariant with respect to a (compact) Lie group. Aside from general genericity and normal form theorems on equivariant bifurcation, it describes many general families of examples of equivariant bifurcation and includes a number of novel geometric techniques,... more...