Practical Course in Differential Equations and Mathematical Modelling : Classical and New Methods, Nonlinear Mathematical Models, Symmetry and Invariance Principles

Ibragimov, Nail H.

ISBN 10: 9814291943 / ISBN 13: 9789814291941

Editore: World Scientific Publishing Company, 2010

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Dati bibliografici

• Titolo: Practical Course in Differential Equations and Mathematical Modelling : Classical and New Methods, Nonlinear Mathematical Models, Symmetry and Invariance Principles
• Editore: World Scientific Publishing Company
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 9814291943
• ISBN 13: 9789814291941
• Rilegatura: Rilegato
• Condizione: As New

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Riassunto

A Practical Course in Differential Equations and Mathematical Modelling is a unique blend of the traditional methods of ordinary and partial differential equations with Lie group analysis enriched by the authors own theoretical developments. The book which aims to present new mathematical curricula based on symmetry and invariance principles is tailored to develop analytic skills and working knowledge in both classical and Lies methods for solving linear and nonlinear equations. This approach helps to make courses in differential equations, mathematical modelling, distributions and fundamental solution, etc. easy to follow and interesting for students. The book is based on the authors extensive teaching experience at Novosibirsk and Moscow universities in Russia, Collège de France, Georgia Tech and Stanford University in the United States, universities in South Africa, Cyprus, Turkey, and Blekinge Institute of Technology (BTH) in Sweden. The new curriculum prepares students for solving modern nonlinear problems and will essentially be more appealing to students compared to the traditional way of teaching mathematics.