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Algebraic topology

Most popular at the top

  • Functorial Knot Theoryby David N. Yetter

    World Scientific Publishing Company 2001; US$ 142.00

    Almost since the advent of skein-theoretic invariants of knots and links (the Jones, HOMFLY, and Kauffman polynomials), the important role of categories of tangles in the connection between low-dimensional topology and quantum-group theory has been recognized. The rich categorical structures naturally arising from the considerations of cobordisms have... more...

  • Energy of Knots and Conformal Geometryby Jun O'Hara

    World Scientific Publishing Company 2003; US$ 135.00

    Energy of knots is a theory that was introduced to create a “canonical configuration” of a knot — a beautiful knot which represents its knot type. This book introduces several kinds of energies, and studies the problem of whether or not there is a “canonical configuration” of a knot in each knot type. It also considers... more...

  • Configuration Spacesby Anders Björner; Fred Cohen; Corrado De Concini; Claudo Procesi; Mario Salvetti

    Scuola Normale Superiore 2013; US$ 34.95

    These proceedings contain the contributions of some of the participants in the "intensive research period" held at the De Giorgi Research Center in Pisa, during the period May-June 2010. The central theme of this research period was the study of configuration spaces from various points of view. This topic originated from the intersection of several... more...

  • Fixed Point Theory in Distance Spacesby William Kirk; Naseer Shahzad

    Springer International Publishing 2014; US$ 89.99

    This is a monograph on fixed point theory, covering the purely metric aspects of the theory?particularly results that do not depend on any algebraic structure of the underlying space. Traditionally, a large body of metric fixed point theory has been couched in a functional analytic framework. This aspect of the theory has been written about extensively.... more...

  • Beyond Perturbationby Shijun Liao

    CRC Press 2003; US$ 159.95

    Solving nonlinear problems is inherently difficult, and the stronger the nonlinearity, the more intractable solutions become. Analytic approximations often break down as nonlinearity becomes strong, and even perturbation approximations are valid only for problems with weak nonlinearity. This book introduces a powerful new analytic method for nonlinear... more...

  • Shape Optimization And Optimal Designby John Cagnol; Michael P. Polis; Jean-Paul Zolesio

    CRC Press 2001; US$ 297.00

    This volume presents developments and advances in modelling passive and active control systems governed by partial differential equations. It emphasizes shape analysis, optimal shape design, controllability, nonlinear boundary control, and stabilization. The authors include essential data on exact boundary controllability of thermoelastic plates with... more...

  • Moving Shape Analysis and Controlby Marwan Moubachir; Jean-Paul Zolesio

    CRC Press 2006; US$ 154.95

    Problems 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...

  • Representation Theory and Higher Algebraic K-Theoryby Aderemi Kuku

    CRC Press 2006; US$ 132.95

    Representation Theory and Higher Algebraic K-Theory is the first book to present higher algebraic K-theory of orders and group rings as well as characterize higher algebraic K-theory as Mackey functors that lead to equivariant higher algebraic K-theory and their relative generalizations. Thus, this book makes computations of higher K-theory of group... more...

  • Algebraic Cobordismby Marc Levine; Fabien Morel

    Springer Berlin Heidelberg 2007; US$ 99.00

    Following Quillen's approach to complex cobordism, the authors introduce the notion of oriented cohomology theory on the category of smooth varieties over a fixed field. They prove the existence of a universal such theory (in characteristic 0) called Algebraic Cobordism. Surprisingly, this theory satisfies the analogues of Quillen's theorems: the cobordism... more...

  • Homology theoryby James W. Vick

    Elsevier Science 1973; US$ 72.95

    Homology theory more...