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- World Scientific Publishing Company 2007; US$ 255.00
This 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...
- World Scientific Publishing Company 2007; US$ 128.00
This 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...
- Springer New York 2007; US$ 169.00
The 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...
- Birkhäuser Basel 2006; US$ 139.00
The 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...
- Springer Berlin Heidelberg 2008; US$ 149.00
One 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...
- Springer Berlin Heidelberg 2007; US$ 119.00
In one sense, deformation theory is as old as algebraic geometry itself: this is because all algebro-geometric objects can be ?deformed? by suitably varying the coef?cients of their de?ning equations, and this has of course always been known by the classical geometers. Nevertheless, a correct understanding of what ?deforming? means leads into the technically... more...
- Birkhäuser Basel 2008; US$ 59.99
Discrete differential geometry is an active mathematical terrain where differential geometry and discrete geometry meet and interact. It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces. Current progress in this field is to a large extent... more...
- Springer Berlin Heidelberg 2007; US$ 79.95
Les Éléments de mathématique de Nicolas Bourbaki ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements. Ce deuxième volume du Livre de Topologie générale, troisième Livre du traité, décrit de nombreux outils fondamentaux en topologie et en analyse, tels que le théorème d?Urysohn,... more...
- Springer Berlin Heidelberg 2007; US$ 79.95
Les Éléments de mathématique de Nicolas Bourbaki ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements. Ce premier volume du Livre de Topologie générale, troisième Livre du traité, est consacré aux structures fondamentales en topologie, qui constituent les fondement de l?analyse... more...
- Birkhäuser Basel 2008; US$ 99.00
This book presents very recent results involving an extensive use of analytical tools in the study of geometrical and topological properties of complete Riemannian manifolds. It analyzes in detail an extension of the Bochner technique to the non compact setting, yielding conditions which ensure that solutions of geometrically significant differential... more...