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#### Topology

Wiley 2011; US$ 139.00The essentials of point-set topology, complete with motivation and numerous examples Topology: Point-Set and Geometric presents an introduction to topology that begins with the axiomatic definition of a topology on a set, rather than starting with metric spaces or the topology of subsets of Rn. This approach includes many more examples, allowing students... more...

#### Knot Theory

Taylor and Francis 2004; US$ 129.95Since discovery of the Jones polynomial, knot theory has enjoyed a virtual explosion of important results and now plays a significant role in modern mathematics. In a unique presentation with contents not found in any other monograph, Knot Theory describes, with full proofs, the main concepts and the latest investigations in the field. The book is... more...

#### The Shape of Space

Taylor and Francis 2001; US$ 39.95Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging exercises... more...

#### Moving Shape Analysis and Control

Taylor and Francis 2006; US$ 146.95Problems involving the evolution of two- and three-dimensional domains arise in many areas of science and engineering. Emphasizing an Eulerian approach, Moving Shape Analysis and Control: Applications to Fluid Structure Interactions presents valuable tools for the mathematical analysis of evolving domains. The book illustrates the efficiency of... more...

#### Topological Degree Theory and Applications

Taylor and Francis 2006; US$ 109.95Since the 1960s, many researchers have extended topological degree theory to various non-compact type nonlinear mappings, and it has become a valuable tool in nonlinear analysis. Presenting a survey of advances made in generalizations of degree theory during the past decade, this book focuses on topological degree theory in normed spaces and its applications.... more...

#### Handbook of Knot Theory

Elsevier Science 2005; US$ 185.00This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space: imagine knotting an extension cord and then closing it up by inserting its plug into its outlet. Knot theory is of central importance in pure and applied mathematics, as it stands at a crossroads of topology,... more...

#### Central Simple Algebras and Galois Cohomology

Cambridge University Press 2006; US$ 84.00The first modern, comprehensive introduction to central simple algebras for graduate students and researchers. more...

#### Physical And Numerical Models In Knot Theory

World Scientific Publishing Company 2005; US$ 300.00The physical properties of knotted and linked configurations in space have long been of interest to mathematicians. More recently, these properties have become significant to biologists, physicists, and engineers among others. Their depth of importance and breadth of application are now widely appreciated and valuable progress continues to be made... more...

#### Geometry of Principal Sheaves

Springer 2006; US$ 139.00The book provides a detailed introduction to the theory of connections on principal sheaves in the framework of Abstract Differential Geometry (ADG). This is a new approach to differential geometry based on sheaf theoretic methods, without use of ordinary calculus. This point of view complies with the demand of contemporary physics to cope with non-smooth... more...

#### String Topology and Cyclic Homology

Springer 2006; US$ 39.95Deals with string topology, Hochschild and cyclic homology. This book consists of an exposition of various approaches to string topology and the Chas-Sullivan loop product. It also gives a construction of an algebraic model for computing topological cyclic homology. It is suitable for both graduate students and established researchers. more...