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The book presents an integrated treatment of general topology and real analysis. The integration mechanism is the concept of a uniform space. Uniform spaces have enough structure to support modern analysis. At the same time they are general enough to include those spaces in whic…
1.1 Background The subject of this book is Morse homology as a combination of relative Morse theory and Conley's continuation principle. The latter will be useda s an instrument to express the homology encoded in a Morse complex associated to a fixed Morse function independent o…
The analysis of Euclidean space is well-developed. The classical Lie groups that act naturally on Euclidean space-the rotations, dilations, and trans lations-have both shaped and guided this development. In particular, the Fourier transform and the theory of translation invarian…
"This comprehensive treatment of domains (in space) emphasizes the growing interaction between analysis and geometry. Geometric analysis, as it is known, is currently an important area of study for both pure and applied mathematicians, physicists, and engineers. Aimed at graduat…
Finite Volumes for Complex Applications VI: Problems and Perspectives
by Fořt, Jaroslav, International Symposium on Finite Volumes for Complex Applications, Fürst, Jiří, Halama, Jan, Herbin, Raphaèle, Hubert, Florence, International Symposium on Finite Volumes for Complex Applications
fromSpringer Proceedings in Mathematics, 4
0
Type: Book
Finite volume methods are used for various applications in fluid dynamics, magnetohydrodynamics, structural analysis or nuclear physics. A closer look reveals many interesting phenomena and mathematical or numerical difficulties, such as true error analysis and adaptivity, model…
