Applications of Lie Algebras to Hyperbolic and Stochastic Differential Equations is popular PDF and ePub book, written by Constantin Vârsan 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 Algebras to Hyperbolic and Stochastic Differential Equations can be Read Online from any device for your convenience.
Applications of Lie Algebras to Hyperbolic and Stochastic Differential Equations Book PDF Summary
The main part of the book is based on a one semester graduate course for students in mathematics. I have attempted to develop the theory of hyperbolic systems of differen tial equations in a systematic way, making as much use as possible ofgradient systems and their algebraic representation. However, despite the strong sim ilarities between the development of ideas here and that found in a Lie alge bras course this is not a book on Lie algebras. The order of presentation has been determined mainly by taking into account that algebraic representation and homomorphism correspondence with a full rank Lie algebra are the basic tools which require a detailed presentation. I am aware that the inclusion of the material on algebraic and homomorphism correspondence with a full rank Lie algebra is not standard in courses on the application of Lie algebras to hyperbolic equations. I think it should be. Moreover, the Lie algebraic structure plays an important role in integral representation for solutions of nonlinear control systems and stochastic differential equations yelding results that look quite different in their original setting. Finite-dimensional nonlin ear filters for stochastic differential equations and, say, decomposability of a nonlinear control system receive a common understanding in this framework.
Detail Book of Applications of Lie Algebras to Hyperbolic and Stochastic Differential Equations PDF
- Author : Constantin Vârsan
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9789401146791
- Genre : Mathematics
- Total Page : 248 pages
- Language : English
- PDF File Size : 11,9 Mb
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