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 ...
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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.
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New. Trade paperback (US). Glued binding. 243 p. Mathematics and Its Applications, 466. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Add this copy of Applications of Lie Algebras to Hyperbolic and to cart. $51.64, new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 1999 by Springer.
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New. Sewn binding. Cloth over boards. 243 p. Mathematics and Its Applications, 466. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
