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Algebraic topology

  • Dynamics and Control of Trajectory Tubesby Alexander B. Kurzhanski; Pravin Varaiya

    Springer International Publishing 2014; US$ 129.00

    This monograph presents theoretical methods involving the Hamilton?Jacobi?Bellman formalism in conjunction with set-valued techniques of nonlinear analysis to solve significant problems in dynamics and control. The emphasis is on issues of reachability, feedback control synthesis under complex state constraints, hard or double bounds on controls, and... 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...

  • Elementary Topologyby Donald W. Blackett

    Elsevier Science 2014; US$ 72.95

    Elementary Topology: A Combinatorial and Algebraic Approach focuses on the application of algebraic methods to topological concepts and theorems. The publication first elaborates on some examples of surfaces and their classifications. Discussions focus on combinatorial invariants of a surface, combinatorial equivalence, surfaces and their equations,... more...

  • Homotopy Theoryby I. M. James

    Elsevier Science 2014; US$ 72.95

    Homotopy Theory contains all the published mathematical work of J. H. C. Whitehead, written between 1947 and 1955. This volume considers the study of simple homotopy types, particularly the realization of problem for homotopy types. It describes Whitehead's version of homotopy theory in terms of CW-complexes. This book is composed of 21 chapters and... more...

  • Contact and Symplectic Topologyby

    Springer International Publishing 2014; US$ 129.00

    This book explains the application of symplectic and contact geometry to various fields of physics. It presents a wide range of hot topics in an active field of mathematics and features tutorial-like lectures designed to be accessible to graduate students. 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...

  • Knotsby Gerhard Burde; Heiner Zieschang; Michael Heusener

    De Gruyter 2013; US$ 140.00

    This 3. edition is an introduction to classical knot theory. It contains many figures and some tables of invariants of knots. This comprehensive account is an indispensable reference source for anyone interested in both classical and modern knot theory. Most of the topics considered in the book are developed in detail; only the main... 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...

  • The Localization Problem in Index Theory of Elliptic Operatorsby Vladimir Nazaikinskii; Bert-Wolfgang Schulze; Boris Sternin

    Springer Basel 2013; US$ 74.99

    The book deals with the localization approach to the index problem for elliptic operators. It covers both the general localization principle and its applications to specific problems, existing and new. more...

  • Basic Algebraic Topologyby Anant R. Shastri

    CRC Press 2013; US$ 94.95

    Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty of material for a two-semester course in algebraic topology. The book first introduces the necessary fundamental concepts, such as relative homotopy, fibrations and cofibrations, category theory, cell complexes,... more...