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This book is a collection of papers from the 9th International ISAAC Congress held 2013 in Krakow, Poland. The papers are devoted to recent results in mathematics, focused on analysis and a wide range of its applications. These include up-to-date findings of the following topics:§§- Differential Equations: Complex and Functional Analytic Methods§§- Nonlinear PDE§§- Qualitative Properties of Evolution Models§§- Differential and Difference Equations§§- Toeplitz Operators§§- Wavelet Theory§§- Topological and Geometrical Methods of Analysis§§- Queueing Theory and Performance Evaluation of Computer Networks§§- Clifford and Quaternion Analysis§§- Fixed Point Theory§§- M-Frame Constructions§§- Spaces of Differentiable Functions of Several Real Variables§§Generalized Functions§§- Analytic Methods in Complex Geometry§§- Topological and Geometrical Methods of Analysis§§- Integral Transforms and Reproducing Kernels§§- Didactical Approaches to Mathematical Thinking§§Their wide applications in biomathematics, mechanics, queueing models, scattering, geomechanics etc. are presented in a concise, but comprehensible way, such that further ramifications and future directions can be immediately seen.§
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