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Algebraic topology

Most popular at the top

  • 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...

  • Algebraic Topologyby Nils Baas; Eric Friedlander; Björn Jahren; Paul Arne Řstvćr

    Springer Berlin Heidelberg 2009; US$ 189.00

    The 2007 Abel Symposium brought together mathematicians whose research has led to recent advances in algebraic geometry, algebraic K-theory, algebraic topology and mathematical physics. This book offers the highlights of that symposium. 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...

  • 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...

  • Braidsby A. Jon Berrick; Frederick R. Cohen; Elizabeth Hanbury; Yan-Loi Wong; Jie Wu

    World Scientific Publishing Company 2009; US$ 100.00

    This book is an indispensable guide for anyone seeking to familarize themselves with research in braid groups, configuration spaces and their applications. Starting at the beginning, and assuming only basic topology and group theory, the volume's noted expositors take the reader through the fundamental theory and on to current research and applications... more...

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

    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...

  • 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...

  • Equations of Phase-Locked Loopsby Jacek Kudrewicz; Stefan Wasowicz

    World Scientific Publishing Company 2007; US$ 97.00

    Phase-Locked Loops (PLLs) are electronic systems that can be used as a synchronized oscillator, a driver or multiplier of frequency, a modulator or demodulator and as an amplifier of phase modulated signals. This book updates the methods used in the analysis of PLLs by drawing on the results obtained in the last 40 years. Many are published for the... 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...

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

    Princeton University Press 2009; US$ 87.00

    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...