Applications of Lie Groups to Differential Equations is popular PDF and ePub book, written by Peter J. Olver in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Applications of Lie Groups to Differential Equations can be Read Online from any device for your convenience.
Applications of Lie Groups to Differential Equations Book PDF Summary
This book is devoted to explaining a wide range of applications of con tinuous symmetry groups to physically important systems of differential equations. Emphasis is placed on significant applications of group-theoretic methods, organized so that the applied reader can readily learn the basic computational techniques required for genuine physical problems. The first chapter collects together (but does not prove) those aspects of Lie group theory which are of importance to differential equations. Applications covered in the body of the book include calculation of symmetry groups of differential equations, integration of ordinary differential equations, including special techniques for Euler-Lagrange equations or Hamiltonian systems, differential invariants and construction of equations with pre scribed symmetry groups, group-invariant solutions of partial differential equations, dimensional analysis, and the connections between conservation laws and symmetry groups. Generalizations of the basic symmetry group concept, and applications to conservation laws, integrability conditions, completely integrable systems and soliton equations, and bi-Hamiltonian systems are covered in detail. The exposition is reasonably self-contained, and supplemented by numerous examples of direct physical importance, chosen from classical mechanics, fluid mechanics, elasticity and other applied areas.
Detail Book of Applications of Lie Groups to Differential Equations PDF
- Author : Peter J. Olver
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9781468402742
- Genre : Mathematics
- Total Page : 524 pages
- Language : English
- PDF File Size : 7,5 Mb
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