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Homotopy theory

  • The Optimal Homotopy Asymptotic Methodby Vasile Marinca; Nicolae Herisanu

    Springer International Publishing 2015; US$ 179.00

    This book emphasizes in detail the applicability of the Optimal Homotopy Asymptotic Method to various engineering problems. It is a continuation of the book ?Nonlinear Dynamical Systems in Engineering: Some Approximate Approaches?, published at Springer in 2011 and it contains a great amount of practical models from various fields of engineering such... 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...

  • Advances in the Homotopy Analysis Methodby Shijun Liao

    World Scientific Publishing Company 2013; US$ 100.00

    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...

  • Rational Homotopy Theory and Differential Formsby Phillip Griffiths; John Morgan

    Springer New York 2013; US$ 109.00

    This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an in-depth look at differential forms and de Tham?s theorem... more...

  • Shape Optimization and Free Boundariesby Gert Sabidussi; Michel C. Delfour

    Springer Netherlands 2012; US$ 99.00

    Proceedings of the NATO Advanced Study Institute and Séminaire de Mathématiques supérieures, Montreal, Canada, June 25-July 13, 1990 more...

  • Hyperbolic Problems: Theory, Numerics and Applications (Volume 2)by Song Jiang; Tatsien Li

    World Scientific Publishing Company 2012; US$ 150.00

    This two-volume book is devoted to mathematical theory, numerics and applications of hyperbolic problems. Hyperbolic problems have not only a long history but also extremely rich physical background. The development is highly stimulated by their applications to Physics, Biology, and Engineering Sciences; in particular, by the design of effective numerical... more...

  • Syzygies and Homotopy Theoryby F.E.A. Johnson

    Springer London 2011; US$ 119.00

    This book explores the problem of nonsimply connected homotopy in the first nontrivial cases and presents a systematic rehabilitation of Hilbert's method of syzygies in the context of non-simply connected homotopy theory. more...

  • Spectra and the Steenrod Algebraby H.R. Margolis

    Elsevier Science 2011; US$ 148.25

    I have intended this book to be more than just the sum of its chapters, and the introduction is, in part, an attempt to spell out what the more is. Algebraic topology is the study of topological problems by algebraic means. More precisely, this has come to be framed as the study of topological categories by means of functors to algebraic categories.... more...

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

    Birkhäuser Boston 2010; US$ 199.00

    Centered on the higher algebraic structures in the work of Murray Gerstenhaber and Jim Stasheff, now ubiquitous in various areas of mathematics and theoretical physics, this volume shows how their work has been expanded into new realms of research. more...

  • Homotopy Theory of C*-Algebrasby Paul Arne Østvær

    Springer Basel 2010; US$ 69.99

    Homotopy theory and C* algebras are central to contemporary mathematics. This book introduces a modern homotopy theory for C*-algebras that uses the concept of merging C*-algebras and spaces studied in algebraic topology into one category comprising C*-spaces. more...