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Algebraic Models in Geometry
Oxford University Press, UK 2008; US$ 55.00A text aimed at both geometers needing the tools of rational homotopy theory to understand and discover new results concerning various geometric subjects, and topologists who require greater breadth of knowledge about geometric applications of the algebra of homotopy theory. - ;Rational homotopy is a very powerful tool for differential topology and... more...
Beyond Perturbation: Introduction to the Homotopy Analysis Method
Taylor and Francis 2003; US$ 139.95Solving 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...
Combinatorial Homotopy and 4-Dimensional Complexes
De Gruyter 1991; US$ 182.00Combinatorial Homotopy and 4-Dimensional Complexes (Architektur Auf Naxos Und Paros) more...
Higher Structures in Geometry and Physics
Springer 2010; US$ 99.99This book is centered around higher algebraic structures stemming from the work of Murray Gerstenhaber and Jim Stasheff that are now ubiquitous in various areas of mathematics-- such as algebra, algebraic topology, differential geometry, algebraic geometry, mathematical physics-- and in theoretical physics such as quantum field theory and string theory.... more...
Homology
Wiley 2008; US$ 167.00'Homology' as a concept became increasingly elusive during the course of the 20th century. The central debates and controversies concern both fundamental definitions and the nature of the criteria by which homology is judged. Attempts to move away from comparative morphology to ideas based on developmental pathways have tended to founder on the... more...
Homotopy Theory of C*-Algebras
Springer 2010; US$ 47.99Homotopy theory and C* algebras are central topics in contemporary mathematics. This book introduces a modern homotopy theory for C*-algebras. One basic idea of the setup is to merge C*-algebras and spaces studied in algebraic topology into one category comprising C*-spaces. These objects are suitable fodder for standard homotopy theoretic moves, leading... more...
Homotopy of Extremal Problems
De Gruyter 2007; US$ 224.00This monograph provides a thorough treatment of parameter-dependent extremal problems with local minimum values that remain unchanged under changes of the parameter. The authors consider the theory as well the practical treatment of those problems, both in finite-dimensional as well as in infinite-dimensional spaces. Various applications are considered,... more...
Lectures on Homotopy Theory
Elsevier Science 1992; US$ 210.00The central idea of the lecture course which gave birth to this book was to define the homotopy groups of a space and then give all the machinery needed to prove in detail that the n th homotopy group of the sphere S n , for n greater than or equal to 1 is isomorphic to the group of the integers, that the lower homotopy groups of S n are... more...
Moving Shape Analysis and Control
CRC Press 2006; US$ 129.95Moubachir (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...
