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Algebraic topology

Most popular at the top

  • Homotopy Theoryby I. M. James

    Elsevier Science 2014; US$ 72.95

    Homotopy Theory contains all the published mathematical work of J. H. C. Whitehead, written between 1947 and 1955. This volume considers the study of simple homotopy types, particularly the realization of problem for homotopy types. It describes Whitehead's version of homotopy theory in terms of CW-complexes. This book is composed of 21 chapters and... more...

  • Elementary Topologyby Donald W. Blackett

    Elsevier Science 2014; US$ 72.95

    Elementary Topology: A Combinatorial and Algebraic Approach focuses on the application of algebraic methods to topological concepts and theorems. The publication first elaborates on some examples of surfaces and their classifications. Discussions focus on combinatorial invariants of a surface, combinatorial equivalence, surfaces and their equations,... more...

  • Shape Theoryby S. Marde?ic; J. Segal

    Elsevier Science 1982; US$ 19.95

    Shape Theory more...

  • Elliptic Cohomologyby Charles B. Thomas

    Springer 1999; US$ 135.00

    The aim of this work is to construct a cohomology theory, and evaluate it on classifying spaces BG of finite groups G. This class of spaces is important, since (using ideas borrowed from `Monstrous Moonshine') it is possible to give a bundle-theoretic definition of EU-(BG). more...

  • 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

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

  • Handbook of Knot Theoryby William Menasco; Morwen Thistlethwaite

    Elsevier Science 2005; US$ 185.00

    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...

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

    World Scientific Publishing Company 2005; US$ 300.00

    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...