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#### 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...

#### An Illustrated Introduction to Topology and Homotopy

CRC Press 2015; US$ 89.95An Illustrated Introduction to Topology and Homotopy explores the beauty of topology and homotopy theory in a direct and engaging manner while illustrating the power of the theory through many, often surprising, applications. This self-contained book takes a visual and rigorous approach that incorporates both extensive illustrations and full proofs.... more...

#### Regularity of Optimal Transport Maps and Applications

Scuola Normale Superiore 2013; US$ 17.91In 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

Atlantis Press 2013; US$ 143.34This 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...

#### Essentials of Topology with Applications

CRC Press 2009; US$ 79.95Brings Readers Up to Speed in This Important and Rapidly Growing Area Supported by many examples in mathematics, physics, economics, engineering, and other disciplines, Essentials of Topology with Applications provides a clear, insightful, and thorough introduction to the basics of modern topology. It presents the traditional concepts of topological... more...

#### Dynamics and Symmetry

World Scientific Publishing Company 2007; US$ 144.00 US$ 131.04This 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...

#### Topology in Ordered Phases (With Cd-Rom)

World Scientific Publishing Company 2006; US$ 176.00 US$ 160.16The concept of topology has become commonplace in various scientific fields. The next stage is to bring together the knowledge accumulated in these fields. This volume contains articles on experiments and theories in connection with topology, including wide-ranging fields such as materials science, superconductivity, charge density waves, superfluidity,... more...

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

World Scientific Publishing Company 2008; US$ 157.00 US$ 142.87This 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...

#### Undergraduate Topology

OUP Oxford 2014; US$ 39.99Point-set topology, important in itself as a research discipline, underpins a wide range of mathematical areas and is consequently taught as a component of many university mathematics degree programmes. This textbook offers an accessible, modern introduction, with a particular focus on helping students to build theory for themselves. more...