This book is a collection of papers from the 9th International ISAAC Congress held in 2013 in Kraków, 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.