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Algebraic topology

Most popular at the top

  • Differentialrechnung für Höhlenmenschen und andere Anfängerby Jürgen Beetz

    Springer Fachmedien Wiesbaden 2015; US$ 9.99

    Jürgen Beetz führt zuerst in den Ursprung der erdachten Geschichten der Mathematik aus der Steinzeit ein. Im Anschluss daran stellt er die zentrale Fragestellung der ?Infinitesimalrechnung? anhand eines einfachen Beispiels dar. Dann erläutert der Autor die Grundproblematik des Differenzierens: die Steigung (d. h. die Richtung der Tangente) an einer... more...

  • Elliptic Cohomologyby Charles B. Thomas

    Springer US 2006; US$ 199.00

    Elliptic cohomology is an extremely beautiful theory with both geometric and arithmetic aspects. The former is explained by the fact that the theory is a quotient of oriented cobordism localised away from 2, the latter by the fact that the coefficients coincide with a ring of modular forms. The aim of the book is to construct this cohomology theory,... 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 2016; 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...

  • String Topology and Cyclic Homologyby Ralph L. Cohen; Kathryn Hess; Alexander A. Voronov

    Birkhäuser Basel 2006; US$ 39.95

    This book explores string topology, Hochschild and cyclic homology, assembling material from a wide scattering of scholarly sources in a single practical volume. The text string topology from the elementary bases to the most recent developments, presenting material for a broader audience that was formerly available only to advanced specialists. 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...

  • Basic Bundle Theory and K-Cohomology Invariantsby Dale Husemöller; S. Echterhoff; B. Krötz; Michael JOACHIM; Branislav Jurco; Martin Schottenloher

    Springer Berlin Heidelberg 2007; US$ 109.00

    Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory with the aim to provide newcomers to the field with solid foundations in topological K-theory. A fundamental theme, emphasized in the book, centers around the gluing of local bundle data related to bundles into a global object. ... more...

  • Homology Theoryby James W. Vick

    Elsevier Science 1973; US$ 72.95

    Homology Theory more...