birkhäuser basel birkhäuser basel aug 2009 (3 Ergebnisse)

Taschenbuch. Zustand: Neu. Neuware -As models and paradigms, patterns have been helping to orient architects since the Middle Ages. But patterns are also the basis of the history of ornament, an aesthetic phenomenon that links all times and cultures at a fundamental level. Ornament ¿ and hence pattern as well ¿ was abolished by the avant-garde in the first half of the twentieth century, but the notion of pattern has taken on new meaning and importance since the 1960s.Complexity research has ultimately shown that even highly complex, dynamic patterns may be based on simple behavioral rules, and that has allowed the notions of pattern and pattern formation to take on new meanings, that are also central for architecture.Today the use of generative computerized methods is opening up new ways of talking about an idea that is becoming increasingly abstract and dynamic. Pattern explores the question: what are the notions of pattern that must be discussed in the context of contemporary architecture Birkhäuser Verlag GmbH, Im Westfeld 8, 4055 Basel 108 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -If H is a Hilbert space and T : H H is a continous linear operator, a natural question to ask is: What are the closed subspaces M of H for which T M M Of course the famous invariant subspace problem asks whether or not T has any non-trivial invariant subspaces. This monograph is part of a long line of study of the invariant subspaces of the operator T = M (multiplication by the independent variable z, i. e. , M f = zf )on a z z Hilbert space of analytic functions on a bounded domain G in C. The characterization of these M -invariant subspaces is particularly interesting since it entails both the properties z of the functions inside the domain G, their zero sets for example, as well as the behavior of the functions near the boundary of G. The operator M is not only interesting in its z own right but often serves as a model operator for certain classes of linear operators. By this we mean that given an operator T on H with certain properties (certain subnormal operators or two-isometric operators with the right spectral properties, etc. ), there is a Hilbert space of analytic functions on a domain G for which T is unitarity equivalent to M .Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 144 pp. Englisch.

Buch. Zustand: Neu. Neuware -Over the last fifteen years fractal geometry has established itself as a substantial mathematical theory in its own right. The interplay between fractal geometry, analysis and stochastics has highly influenced recent developments in mathematical modeling of complicated structures. This process has been forced by problems in these areas related to applications in statistical physics, biomathematics and finance.This book is a collection of survey articles covering many of the most recent developments, like Schramm-Loewner evolution, fractal scaling limits, exceptional sets for percolation, and heat kernels on fractals. The authors were the keynote speakers at the conference 'Fractal Geometry and Stochastics IV' at Greifswald in September 2008.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 304 pp. Englisch.