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Algebraic topology

Most popular at the top

  • Knot Theoryby Vassily Manturov

    CRC Press 2004; US$ 132.95

    Since discovery of the Jones polynomial, knot theory has enjoyed a virtual explosion of important results and now plays a significant role in modern mathematics. In a unique presentation with contents not found in any other monograph, Knot Theory describes, with full proofs, the main concepts and the latest investigations in the field. The book is... more...

  • The Shape of Spaceby Jeffrey R. Weeks

    CRC Press 2001; US$ 39.95

    Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging exercises... more...

  • Topological Degree Theory and Applicationsby Yeol Je Cho; Yu-Qing Chen

    CRC Press 2006; US$ 115.95

    Since the 1960s, many researchers have extended topological degree theory to various non-compact type nonlinear mappings, and it has become a valuable tool in nonlinear analysis. Presenting a survey of advances made in generalizations of degree theory during the past decade, this book focuses on topological degree theory in normed spaces and its applications.... more...

  • Central Simple Algebras and Galois Cohomologyby Philippe Gille; Tamás Szamuely

    Cambridge University Press 2006; US$ 88.00 US$ 72.16

    The first modern, comprehensive introduction to central simple algebras for graduate students and researchers. more...

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

    World Scientific Publishing Company 2005; US$ 185.00

    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...

  • Geometry of Principal Sheavesby Efstathios Vassiliou

    Springer Netherlands 2006; US$ 139.00

    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...

  • 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$ 180.00

    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...

  • Knotsby Gerhard Burde; Heiner Zieschang

    De Gruyter 2002; US$ 168.00

    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... more...

  • The Heart of Cohomologyby Goro Kato

    Springer Netherlands 2006; US$ 135.00

    If you have not heard about cohomology, this book may be suited for you. Fundamental notions in cohomology for examples, functors, representable functors, Yoneda embedding, derived functors, spectral sequences, derived categories are explained in elementary fashion. Applications to sheaf cohomology are given. Also cohomological aspects of D-modules... more...