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Algebraic topology

Most popular at the top

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

    Springer 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 on... more...

  • Basic Algebraic Topologyby Anant R. Shastri

    CRC Press 2013; US$ 94.95

    Introduction The Basic Problem Fundamental Group Function Spaces and Quotient Spaces Relative Homotopy Some Typical Constructions Cofibrations Fibrations Categories and Functors Cell Complexes and Simplicial Complexes Basics of Convex Polytopes Cell Complexes Product of Cell Complexes Homotopical Aspects Cellular Maps Abstract... more...

  • 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...

  • 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...

  • 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...

  • 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...

  • Beyond Perturbationby Shijun Liao

    CRC Press 2003; US$ 159.95

    PART I BASIC IDEAS Introduction Illustrative Description Systematic Description Relations to Some Previous Analytic Methods Advantages, Limitations, and Open Questions PART II APPLICATIONS Simple Bifurcation of a Nonlinear Problem Multiple Solutions of a Nonlinear Problem Nonlinear Eigenvalue Problem Thomas-Fermi Atom Model Volterra's Population Model... 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

    Introduction Classical and Moving Shape Analysis Fluid?Structure Interaction Problems Plan of the Book Detailed Overview of the Book An Introductory Example: The Inverse Stefan Problem The Mechanical and Mathematical Settings The Inverse Problem Setting The Eulerian Derivative and the Transverse Field The Eulerian Material Derivative... more...