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A selfcontained introduction to the methods and techniques of symmetry analysis used to solve ODEs and PDEsSymmetry Analysis of Differential Equations: An Introduction presents an accessible approach to the uses of symmetry methods in solving both ordinary differential equations (ODEs) and partial differential equations (PDEs). Providing comprehensive coverage, the book fills a gap in the literature by discussing elementary symmetry concepts and invariance, including methods for reducing the complexity of ODEs and PDEs in an effort to solve the associated problems.Thoroughly classtested, the author presents classical methods in a systematic, logical, and wellbalanced manner. As the book progresses, the chapters graduate from elementary symmetries and the invariance of algebraic equations, to ODEs and PDEs, followed by coverage of the nonclassical method and compatibility. Symmetry Analysis of Differential Equations: An Introduction also features:Detailed, stepbystep examples to guide readers through the methods of symmetry analysis Endofchapter exercises, varying from elementary to advanced, with select solutions to aid in the calculation of the presented algorithmic methodsSymmetry Analysis of Differential Equations: An Introduction is an ideal textbook for upperundergraduate and graduatelevel courses in symmetry methods and applied mathematics. The book is also a useful reference for professionals in science, physics, and engineering, as well as anyone wishing to learn about the use of symmetry methods in solving differential equations.
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