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Algebraic topology

Most popular at the top

  • The Heart of Cohomologyby Goro Kato

    Springer 2006; US$ 135.00

    Explains fundamental notions in cohomology for examples, functors, representable functors, Yoneda embedding, drived functors, spectral sequences, derived categories. This work gives applications to sheaf cohomology. It also provides cohomological aspects of D-modules and of the computation of zeta functions of the Weierstrass family. more...

  • Braid Groupsby Christian Kassel

    Springer 2008; US$ 64.95

    In this well-written presentation, motivated by numerous examples and problems, the authors introduce the basic theory of braid groups, highlighting several definitions that show their equivalence; this is followed by a treatment of the relationship between braids, knots and links. Important results then treat the linearity and orderability of the... 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...

  • Shape Optimization And Optimal Designby John Cagnol; Michael P. Polis; Jean-Paul Zolesio

    Taylor and Francis 2001; US$ 283.00

    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...

  • Representation Theory and Higher Algebraic K-Theoryby Aderemi Kuku

    Taylor and Francis 2006; US$ 129.95

    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...

  • Homology theoryby James W. Vick

    Elsevier Science 1973; US$ 72.95

    Homology theory more...

  • Homotopy theoryby Sze-Tsen Hu

    Elsevier Science 1959; US$ 72.95

    Homotopy theory more...

  • Homologyby Novartis Foundation; Brian Hall

    Wiley 2008; US$ 167.00

    'Homology' as a concept became increasingly elusive during the course of the 20th century. The central debates and controversies concern both fundamental definitions and the nature of the criteria by which homology is judged. Attempts to move away from comparative morphology to ideas based on developmental pathways have tended to founder on the... more...

  • Contact and Symplectic Topologyby Frédéric Bourgeois; Vincent Colin; András Stipsicz

    Springer 2014; US$ 129.00

    Symplectic and contact geometry naturally emerged from themathematical description of classical physics. The discovery of newrigidity phenomena and properties satisfied by these geometricstructures launched a new research field worldwide. The intenseactivity of many European research groups in this field is reflectedby the ESF Research Networking Programme... more...

  • Higher Topos Theory (AM-170)by Jacob Lurie

    Princeton University Press 2009; US$ 78.50

    Higher category theory is generally regarded as technical and forbidding, but part of it is considerably more tractable: the theory of infinity-categories, higher categories in which all higher morphisms are assumed to be invertible. In Higher Topos Theory , Jacob Lurie presents the foundations of this theory, using the language of weak Kan complexes... more...