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#### Analytic Hyperbolic Geometry

World Scientific Publishing Company 2005; US$ 118.00 US$ 107.38This is the first book on analytic hyperbolic geometry, fully analogous to analytic Euclidean geometry. Analytic hyperbolic geometry regulates relativistic mechanics just as analytic Euclidean geometry regulates classical mechanics. The book presents a novel gyrovector space approach to analytic hyperbolic geometry, fully analogous to the well-known... more...

#### Topics In Almost Hermitian Geometry And Related Fields - Proceedings In Honor Of Professor K Sekigawa's 60th Birthday

World Scientific Publishing Company 2005; US$ 109.00 US$ 99.19This volume contains a valuable collection of research articles by active and well-known mathematicians in differential geometry and mathematical physics, contributed to mark Professor Kouei Sekigawa?s 60th birthday. The papers feature many new and significant results while also reviewing developments in the field. The illustrious career of Professor... more...

#### Lie Theory

Birkhäuser Boston 2006; US$ 124.18Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, self-contained volumes, under the general title Lie Theory , feature survey work and original results by well-established researchers in key areas of semisimple Lie... more...

#### Poisson Structures and Their Normal Forms

Birkhäuser Basel 2006; US$ 92.42Poisson manifolds play a fundamental role in Hamiltonian dynamics, where they serve as phase spaces. They also arise naturally in other mathematical problems, and form a bridge from the "commutative world" to the "noncommutative world". The aim of this book is twofold: On the one hand, it gives a quick, self-contained introduction to Poisson geometry... more...

#### The Geometry Of Hessian Structures

World Scientific Publishing Company 2007; US$ 79.00 US$ 71.89The geometry of Hessian structures is a fascinating emerging field of research. It is in particular a very close relative of Kählerian geometry, and connected with many important pure mathematical branches such as affine differential geometry, homogeneous spaces and cohomology. The theory also finds deep relation to information geometry in applied... more...

#### Recent Progress In Conformal Geometry

World Scientific Publishing Company 2007; US$ 157.00 US$ 142.87This book presents a new front of research in conformal geometry, on sign-changing Yamabe-type problems and contact form geometry in particular. New ground is broken with the establishment of a Morse lemma at infinity for sign-changing Yamabe-type problems. This family of problems, thought to be out of reach a few years ago, becomes a family of problems... more...

#### The User's Approach For Topological Methods In 3d Dynamical Systems

World Scientific Publishing Company 2007; US$ 79.00 US$ 71.89This book presents the development and application of some topological methods in the analysis of data coming from 3D dynamical systems (or related objects). The aim is to emphasize the scope and limitations of the methods, what they provide and what they do not provide. Braid theory, the topology of surface homeomorphisms, data analysis and the reconstruction... more...

#### Duality for Nonconvex Approximation and Optimization

Springer New York 2007; US$ 138.11The theory of convex optimization has been constantly developing over the past 30 years. Most recently, many researchers have been studying more complicated classes of problems that still can be studied by means of convex analysis, so-called "anticonvex" and "convex-anticonvex" optimizaton problems. This manuscript contains an exhaustive... more...

#### Handbook of Normal Frames and Coordinates

Birkhäuser Basel 2006; US$ 92.42The main subject of this book is an up-to-date and in-depth survey of the theory of normal frames and coordinates in di?erential geometry. The existing results, as well as new ones obtained lately by the author, on the theme are presented. The text is so organized that it can serve equally well as a reference manual, introduction to and review of the... more...

#### Notes on Coxeter Transformations and the McKay Correspondence

Springer Berlin Heidelberg 2008; US$ 95.61One of the beautiful results in the representation theory of the finite groups is McKay's theorem on a correspondence between representations of the binary polyhedral group of SU(2) and vertices of an extended simply-laced Dynkin diagram. The Coxeter transformation is the main tool in the proof of the McKay correspondence, and is closely interrelated... more...