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This book emphasises the key to progress in research on pattern formation: a continous feedback between experimental, analytical, and numerical work. It discusses not only recent developments in classical topics in the field (e.g., hydordynamics, thermal and chemical instabilities), but also in new areas of interest (e.g., complex fluids, materials science, etc). It presents and illustrates concepts and methods that participate in the most recent advances in nonlinear dynamics and instability theory applied to materials science (e.g., plastic instabilities, defect microstructures, morphological instabilities in surface processing or coatings) or biological systems (e.g., fibrillation in cardiac tissue, propagation of calcium waves).