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Algebraic topology

Most popular at the top

  • Moving Shape Analysis and Controlby Marwan Moubachir

    CRC Press 2006; US$ 129.95

    Moubachir (INRA) and Zol sio (CNRS and INRIA, France) provide a mathematical analysis of problems related to the evolution of domains in two or three dimensions, as applied to engineering applications such as free surface flows, phase changes, fracture and contact problems, fluid-structure interaction in civil transport vehicles, stayed-cable bridg more...

  • Central Simple Algebras and Galois Cohomologyby Philippe Gille; Tamás Szamuely; B. Bollobas; W. Fulton; A. Katok; F. Kirwan; P. Sarnak; B. Simon; B. Totaro

    Cambridge University Press 2006; US$ 95.00

    The first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields. Assuming only a solid background in algebra, it reaches such advanced results as the Merkurjev-Suslin theorem. The book is a graduate textbook and a reference for researchers working in algebra, algebraic geometry or K-theory. more...

  • Handbook of Knot Theoryby William Menasco; Morwen Thistlethwaite

    Elsevier Science 2005; US$ 180.00

    This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space: imagine knotting an extension cord and then closing it up by inserting its plug into its outlet. Knot theory is of central importance in pure and applied mathematics, as it stands at a crossroads of topology,... more...

  • Representation Theory and Higher Algebraic K-Theoryby Aderemi Kuku

    CRC Press 2006; US$ 99.95

    Focusing on computations in representation theoretic setting, this book begins with a treatment of classical algebraic K-theory and then explores more advanced topics of higher algebraic K-theory. It also discusses Mackey functions and equivariant K-theory, integrating Lueck's equivaraint algebraic K-theory with Quillen algebraic theory. more...

  • Physical And Numerical Models In Knot Theoryby Jorge A Calvo; Kenneth C Millett; Eric J Rawdon

    World Scientific Publishing Company 2005; US$ 165.00

    The physical properties of knotted and linked configurations in space have long been of interest to mathematicians. More recently, these properties have become significant to biologists, physicists, and engineers among others. Their depth of importance and breadth of application are now widely appreciated and valuable progress continues to be made... more...

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

    Springer 2006; US$ 31.99

    Deals with string topology, Hochschild and cyclic homology. This book consists of an exposition of various approaches to string topology and the Chas-Sullivan loop product. It also gives a construction of an algebraic model for computing topological cyclic homology. It is suitable for both graduate students and established researchers. more...

  • Geometry of Principal Sheavesby Efstathios Vassiliou

    Springer 2006; US$ 99.99

    The book provides a detailed introduction to the theory of connections on principal sheaves in the framework of Abstract Differential Geometry (ADG). This is a new approach to differential geometry based on sheaf theoretic methods, without use of ordinary calculus. This point of view complies with the demand of contemporary physics to cope with non-smooth... more...

  • Knotsby Gerhard Burde; Heiner Zieschang

    De Gruyter 2002; US$ 133.00

    This book is an introduction to classical knot theory. Topics covered include: different constructions of knots, knot diagrams, knot groups, fibred knots, characterisation of torus knots, prime decomposition of knots, cyclic coverings and Alexander polynomials and modules together with the free differential calculus, braids, branched coverings and... more...

  • Handbook of Algebraic Topologyby I.M. James

    Elsevier Science 1995; US$ 315.00

    Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook. Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys... more...

  • Intelligence Of Low Dimensional Topology 2006by J Scott Carter; Seiichi Kamada; Louis H Kauffman

    World Scientific Publishing Company 2007; US$ 161.00

    This volume gathers the contributions from the international conference "Intelligence of Low Dimensional Topology 2006," which took place in Hiroshima in 2006. The aim of this volume is to promote research in low dimensional topology with the focus on knot theory and related topics. The papers include comprehensive reviews and some latest... more...