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#### Advances in the Homotopy Analysis Method

World Scientific Publishing Company 2013; US$ 163.00Unlike other analytic techniques, the Homotopy Analysis Method (HAM) is independent of small/large physical parameters. Besides, it provides great freedom to choose equation type and solution expression of related linear high-order approximation equations. The HAM provides a simple way to guarantee the convergence of solution series. Such uniqueness... more...

#### Rational Homotopy Theory and Differential Forms

Springer 2013; US$ 109.00This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an in-depth look at differential forms and de Tham?s theorem on... more...

#### Hyperbolic Problems: Theory, Numerics and Applications (Volume 2)

World Scientific Publishing Company 2012; US$ 244.00This two-volume book is devoted to mathematical theory, numerics and applications of hyperbolic problems. Hyperbolic problems have not only a long history but also extremely rich physical background. The development is highly stimulated by their applications to Physics, Biology, and Engineering Sciences; in particular, by the design of effective numerical... more...

#### Syzygies and Homotopy Theory

Springer 2011; US$ 109.00The most important invariant of a topological space is its fundamental group. When this is trivial, the resulting homotopy theory is well researched and familiar. In the general case, however, homotopy theory over nontrivial fundamental groups is much more problematic and far less well understood. Syzygies and Homotopy Theory explores the problem of... more...

#### Spectra and the Steenrod Algebra

Elsevier Science 2011; US$ 148.25Spectra and the Steenrod Algebra more...

#### Higher Structures in Geometry and Physics

Springer 2010; US$ 179.00This 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...

#### Homotopy Theory of C*-Algebras

Springer 2010; US$ 59.95Homotopy 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...

#### Simplicial Homotopy Theory

Springer 2009; US$ 69.99With the development of Quillen's concept of a closed model category and, in particular, a simplicial model category, the simplicial methods have become the primary way to describe non-abelian homological algebra and to address homotopy-theoretical issues in various fields, including algebraic K-theory. This book deals with these ideas. more...

#### Shape and Shape Theory

Wiley 2009; US$ 283.00Shape and Shape Theory D. G. Kendall Churchill College, University of Cambridge, UK D. Barden Girton College, University of Cambridge, UK T. K. Carne King's College, University of Cambridge, UK H. Le University of Nottingham, UK The statistical theory of shape is a relatively new topic and is generating a great deal of interest and comment by statisticians,... more...

#### Stable Homotopy Around the Arf-Kervaire Invariant

Springer 2009; US$ 129.00Describes important techniques of stable homotopy theory, applying them to the long-standing problem of the existence of framed manifolds with odd Arf-Kervaire invariant. This work opens with an account of the necessary algebraic topology background. more...