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:

1) complex variables and potential theory.- 2) differential equations: complex and functional analytic methods, applications.- 3) methods for applied sciences.- 4) clifford and quaternion analysis.- 5) spaces of differentiable functions of several real variables and applications.- 6) generalized functions.- 7) qualitative properties of evolution models.- 8) nonlinear infinite dimensional evolutions and control theory with applications.- 9) nonlinear pde and fixed point theory, topological and geometrical methods of analysis.- 10) didactical approaches to mathematical thinking.- 11) integral transforms and reproducing kernels.- 12) pseudo-differential operators.- 13) toeplitz operators and their applications.- 4) approximation theory and fourier analysis.- 15) differential and difference equations with applications.- 16) analytic methods in complex geometry.- 17) applications of queueing theory in modelling and performance evaluation of computer networks.