The volume contains abstracts of the talks of participants of the 8-th International Congress of International Society for Analysis, its Applications and Computation (ISAAC). This Congress is organized by Peoples' Friendship University of Russia, Division of Mathematics of the Russian Academy of Sciences, Steklov Institute of Mathematics, Moscow State University and takes place at Peoples' Friendship University of Russia, Moscow, Russia, through 22-27 August 2011. The programme of the Congress includes the following topics: real, functional, complex analysis, operator theory, theory of ordinary differential equations, theory of partial differential equations, theory of integral equations, nonlinear analysis, optimization theory, variational analysis, approximation theory, applications of analysis (inverse problems, functional and difference equations, mathematics in medicine, stochastic analysis); teaching analysis at universities and schools, history of analysis etc. Abstracts are published in the form presented by the authors, without further editing. This volume would be of interest for mathematicians working in all main branches of contemporary mathematical analysis and its applications. Prepared by the Organizing Committee of the 8-th Congress of the ISAAC.