The International Society for Analysis, its Applications and Computation (ISAAC) has held its international congresses biennially since 1997. This proceedings volume reports on the progress in analysis, applications and computation in recent years as covered and discussed at the 7th ISAAC Congress. This volume includes papers on partial differential equations, function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, stochastic analysis, inverse problems, homogenization, continuum mechanics, mathematical biology and medicine. With over 500 participants from almost 60 countries attending the congress, the book comprises a broad selection of contributions in different topics.Contents:Complex Variables and Potential Theory (T Aliyev et al.)Differential Equations: Complex and Functional Analytic Methods, Applications (H Begehr et al.)Zeros and Gamma Lines — Value Distributions of Real and Complex Functions (G Barsegian & G Csordas)Clifford and Quaternion Analysis (I Sabadini & F Sommen)Analytical, Geometrical and Numerical Methods in Clifford- and Cayley-Dickson Algebras (K Gürlebeck et al.)Reproducing Kernels and Related Topics (A Berlinet & S Saitoh)Modern Aspects of the Theory of Integral Transforms (A Kilbas & S Saitoh)Spaces of Differentiable Functions of Several Real Variables and Applications (V Burenkov & S Samko)Dispersive Equations (F Hirosawa & M Reissig)Control and Optimisation of Nonlinear Evolutionary Systems (F Bucci & I Lasiecka)Inverse Problems (Y Kurylev & M Yamamoto)Stochastic Analysis (D Crisan & T Lyons)Coercivity and Functional Inequalities (D Bakry & B Zegarlinski)Dynamical Systems (J Lamb & S Luzzatto)Functional Differential and Difference Equations (L Berezansky et al.)Mathematical Biology (R Gilbert)Others (Local Organising Committee)Readership: Pure and applied mathematicians and physicists interested in analysis, its applications and computation.