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This book is about Lie group analysis of differential equations for physical and engineering problems. The topics include:-- Approximate symmetry in nonlinear physical problems-- Complex methods for Lie symmetry analysis-- Lie group classification, Symmetry analysis, and conservation laws -- Conservative difference schemes-- Hamiltonian structure and conservation laws of three-dimensional linear elasticity-- Involutive systems of partial differential equations This collection of works is written in memory of Professor Nail H. Ibragimov (1939-2018). It could be used as a reference book in differential equations in mathematics, mechanical, and electrical engineering.