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Homotopy theory

  • Advances in the Homotopy Analysis Methodby Shijun Liao

    World Scientific Publishing Company 2013; US$ 163.00

    Unlike other analytic techniques, the Homotopy Analysis Method (HAM) is independent of small/large physical parameters. Besides, it provides great freedom to choose equation type and solution expression of related linear high-order approximation equations. The HAM provides a simple way to guarantee the convergence of solution series. Such uniqueness... more...

  • Algebraic Models in Geometryby Yves Félix; John Oprea; Daniel Tanré

    Oxford University Press, UK 2008; US$ 55.00

    A text aimed at both geometers needing the tools of rational homotopy theory to understand and discover new results concerning various geometric subjects, and topologists who require greater breadth of knowledge about geometric applications of the algebra of homotopy theory. - ;Rational homotopy is a very powerful tool for differential topology and... more...

  • Beyond Perturbationby Shijun Liao

    Taylor and Francis 2003; US$ 154.95

    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...

  • Combinatorial Homotopy and 4-Dimensional Complexesby Hans-Joachim Baues; Ronald Brown

    De Gruyter 1991; US$ 210.00

    Combinatorial Homotopy and 4-Dimensional Complexes (Architektur Auf Naxos Und Paros) more...

  • Equations of Phase-Locked Loopsby Jacek Kudrewicz; Stefan Wasowicz

    World Scientific Publishing Company 2007; US$ 168.00

    Phase-Locked Loops (PLLs) are electronic systems that can be used as a synchronized oscillator, a driver or multiplier of frequency, a modulator or demodulator and as an amplifier of phase modulated signals. This book updates the methods used in the analysis of PLLs by drawing on the results obtained in the last 40 years. Many are published for the... 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...

  • Higher Structures in Geometry and Physicsby Alberto S. Cattaneo; Ping Xu; Anthony Giaquinto

    Springer 2010; US$ 179.00

    This book is centered around higher algebraic structures stemming from the work of Murray Gerstenhaber and Jim Stasheff that are now ubiquitous in various areas of mathematics-- such as algebra, algebraic topology, differential geometry, algebraic geometry, mathematical physics-- and in theoretical physics such as quantum field theory and string theory.... more...

  • Homotopy Theory of C*-Algebrasby Paul Arne Ostvaer

    Springer 2010; US$ 59.95

    Homotopy theory and C* algebras are central topics in contemporary mathematics. This book introduces a modern homotopy theory for C*-algebras. One basic idea of the setup is to merge C*-algebras and spaces studied in algebraic topology into one category comprising C*-spaces. These objects are suitable fodder for standard homotopy theoretic moves, leading... more...

  • Homotopy of Extremal Problemsby Stanislav V. Emelyanov; Sergey K. Korovin; Nikolai A. Bobylev; Alexander V. Bulatov

    De Gruyter 2007; US$ 238.00

    This monograph provides a thorough treatment of parameter-dependent extremal problems with local minimum values that remain unchanged under changes of the parameter. The authors consider the theory as well the practical treatment of those problems, both in finite-dimensional as well as in infinite-dimensional spaces. Various applications are considered,... more...

  • Homotopy theoryby Sze-Tsen Hu

    Elsevier Science 1959; US$ 72.95

    Homotopy theory more...