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Most popular at the top

  • A Topological Picturebookby George K. Francis

    Springer New York 2013; US$ 49.95

    The 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...

  • Applications of Affine and Weyl Geometryby Eduardo García-Río; Peter Gilkey; Stana Nikcevic; Ramón Vázquez-Lorenzo

    Morgan & Claypool Publishers 2013; US$ 45.00

    Pseudo-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 Homotopyby Sasho Kalajdzievski

    CRC Press 2015; US$ 89.95

    TOPOLOGY 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...

  • Topology Optimization in Structural and Continuum Mechanicsby George I. N. Rozvany; Tomasz Lewinski

    Springer 2013; US$ 249.00

    The 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...

  • Topological Dynamical Systemsby Jan Vries

    De Gruyter 2014; US$ 154.00

    This book is an elementary introduction to the theory of discrete dynamical systems, also stressing 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...

  • Regularity of Optimal Transport Maps and Applicationsby Guido De Philippis

    Springer 2013; US$ 29.99

    In 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 Topologyby David Gay

    Elsevier Science 2013; US$ 165.00

    Explorations 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 IIIby K.P. Hart; Jan van Mill; P Simon

    Springer 2013; US$ 189.00

    The 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 Applicationsby Steven G. Krantz

    CRC Press 2009; US$ 109.95

    Fundamentals 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 Symmetryby Michael J. Field

    World Scientific Publishing Company 2007; US$ 234.00

    This 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...