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Serge Alinhac (1948-) received his PhD from l'Université Paris-Sud XI (Orsay). After teaching at l'Université Paris Diderot VII and Purdue University, he has been a professor of mathematics at l'Université Paris-Sud XI (Orsay) since 1978. He is the author of Blowup for Nonlinear Hyperbolic Equations (Birkhäuser, 1995) and Pseudo-differential Operators and the Nash-Moser Theorem (with P. Gérard, American Mathematical Society, 2007). His primary areas of research are linear and nonlinear partial differential equations. This excellent introduction to hyperbolic differential equations is devoted to linear equations and symmetric systems, as well as conservation laws. The book is divided into two parts. The first, which is intuitive and easy to visualize, includes all aspects of the theory involving vector fields and integral curves; the second describes the wave equation and its perturbations for two- or three-space dimensions. Over 100 exercises are included, as well as "do it yourself" instructions for the proofs of many theorems. Only an understanding of differential calculus is required. Notes at the end of the self-contained chapters, as well as references at the end of the book, enable ease-of-use for both the student and the independent researcher.

differentiaalvergelijkingen --- Partial differential equations --- Differential equations, Hyperbolic --- Equations différentielles hyperboliques --- EPUB-LIV-FT LIVMATHE LIVSTATI SPRINGER-B

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Differential geometry. Global analysis --- Operational research. Game theory --- Averaging method (Differential equations) --- Large deviations. --- Attractors (Mathematics) --- Differential equations --- Méthode des moyennes (Equations différentielles) --- Grandes déviations --- Attracteurs (Mathématiques) --- Equations différentielles --- Qualitative theory. --- Théorie qualitative --- 51 <082.1> --- Mathematics--Series --- Moyennes, Méthode des (équations différentielles) --- Attracteurs (mathématiques) --- Équations différentielles --- Large deviations --- Théorie qualitative. --- Qualitative theory --- Méthode des moyennes (Equations différentielles) --- Grandes déviations --- Attracteurs (Mathématiques) --- Equations différentielles --- Théorie qualitative --- Deviations, Large --- Limit theorems (Probability theory) --- Statistics --- 517.91 Differential equations --- Method of averaging (Differential equations) --- Differential equations, Nonlinear --- Attracting sets (Mathematics) --- Attractors of a dynamical system --- Dynamical system, Attractors of --- Sets, Attracting (Mathematics) --- Differentiable dynamical systems --- Numerical solutions --- 517.91 --- Grandes déviations. --- Numerical solutions&delete&

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Stochastic processes --- Differential equations --- Differential equations, Partial --- Differential equations, Parabolic --- Fokker-Planck equation. --- Transport theory. --- Equations aux dérivées partielles --- Equations différentielles paraboliques --- Fokker-Planck, Equation de --- Transport, Théorie du --- Asymptotic theory. --- Théorie asymptotique --- 51 <082.1> --- Mathematics--Series --- Equations aux dérivées partielles --- Equations différentielles paraboliques --- Transport, Théorie du --- Théorie asymptotique --- Fokker-Planck equation --- Transport theory --- Boltzmann transport equation --- Transport phenomena --- Mathematical physics --- Particles (Nuclear physics) --- Radiation --- Statistical mechanics --- Equation, Fokker-Planck --- Planck-Fokker equation --- Stochastic differential equations --- Asymptotic theory in partial differential equations --- Asymptotic expansions --- Asymptotic theory of parabolic differential equations --- Asymptotic theory --- Développements asymptotiques --- Équations aux dérivées partielles