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#### Elementary Topology

Elsevier Science 2014; US$ 72.95Elementary 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...

#### Homotopy Theory

Elsevier Science 2014; US$ 72.95Homotopy 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...

#### Elliptic Cohomology

Springer 1999; US$ 135.00The 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 Theory

CRC Press 2004; US$ 132.95I. KNOTS, LINKS, AND INVARIANT POLYNOMIALS INTRODUCTION Basic Definitions REIDEMEISTER MOVES. KNOT ARITHMETICS Polygonal Links and Reidemeister Moves Knot Arithmetics and Seifert Surfaces LINKS IN 2 SURFACES IN R^3. SIMPLEST LINK INVARIANTS Knots in Surfaces. The Classiffcation of Torus Knots The Linking Coefficient The Arf Invariant The Colouring... more...

#### The Shape of Space

CRC Press 2001; US$ 39.95Maintaining 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 Applications

CRC Press 2006; US$ 115.95BROUWER DEGREE THEORY Continuous and Differentiable Functions Construction of Brouwer Degree Degree Theory for Functions in VMO Applications to ODEs Exercises LERAY-SCHAUDER DEGREE THEORY Compact Mappings Leray-Schauder Degree Leray-Schauder Degree for Multi-valued Mappings Applications to Bifurcations Applications to ODEs and PDEs Exercises... more...

#### Central Simple Algebras and Galois Cohomology

Cambridge University Press 2006; US$ 88.00The first modern, comprehensive introduction to central simple algebras for graduate students and researchers. more...

#### Handbook of Knot Theory

Elsevier Science 2005; US$ 185.00This 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 Theory

World Scientific Publishing Company 2005; US$ 300.00The 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...