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Mathematics --- toegepaste wiskunde

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This book aims to coherently present applications of group analysis to integro-differential equations in an accessible way. The book will be useful to both physicists and mathematicians interested in general methods to investigate nonlinear problems using symmetries. Differential and integro-differential equations, especially nonlinear, present the most effective way for describing complex processes. Therefore, methods to obtain exact solutions of differential equations play an important role in physics, applied mathematics and mechanics. This book provides an easy to follow, but comprehensive, description of the application of group analysis to integro-differential equations. The book is primarily designed to present both fundamental theoretical and algorithmic aspects of these methods. It introduces new applications and extensions of the group analysis method. The authors have designed a flexible text for postgraduate courses spanning a variety of topics.

Physics. --- Mathematical Methods in Physics. --- Atoms and Molecules in Strong Fields, Laser Matter Interaction. --- Plasma Physics. --- Classical Continuum Physics. --- Mathematical physics. --- Physique --- Physique mathématique --- Integro-differential equations --- Symmetry (Physics) --- Invariance principles (Physics) --- Symmetry (Chemistry) --- Integrodifferential equations --- Differential equations --- Integral equations --- Conservation laws (Physics) --- Physics --- Integro-differential equations. --- Mechanics. --- Theoretical, Mathematical and Computational Physics. --- Classical Mechanics. --- Classical and Continuum Physics. --- Physical mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Mathematics --- Atoms. --- Plasma (Ionized gases). --- Continuum physics. --- Classical field theory --- Continuum physics --- Continuum mechanics --- Gaseous discharge --- Gaseous plasma --- Magnetoplasma --- Ionized gases --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Chemistry, Physical and theoretical --- Matter --- Stereochemistry --- Constitution