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Differential equations inverse and direct problems   Publication : [S.l.] Chapman and Hall/CRC, 2006 . 304 p. , With contributions from some of the leading authorities in the field, the work in Differential Equations: Inverse and Direct Problems stimulates the preparation of new research results and offers exciting possibilities not only in the future of mathematics but also in physics, engineering, superconductivity in special materials, and other scientific fields. Exploring the hypotheses and numerical approaches that relate to pure and applied mathematics, this collection of research papers and surveys extends the theories and methods of differential equations. The book begins with discussions on Banach spaces, linear and nonlinear theory of semigroups, integrodifferential equations, the physical interpretation of general Wentzell boundary conditions, and unconditional martingale difference (UMD) spaces. It then proceeds to deal with models in superconductivity, hyperbolic partial differential equations (PDEs), blowup of solutions, reaction-diffusion equation with memory, and Navier-Stokes equations. The volume concludes with analyses on Fourier-Laplace multipliers, gradient estimates for Dirichlet parabolic problems, a nonlinear system of PDEs, and the complex Ginzburg-Landau equation. By combining direct and inverse problems into one book, this compilation is a useful reference for those working in the world of pure or applied mathematics. 26 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Differential equations, dynamical systems, and an introduction to chaos, second edition / par Devaney,, Robert. Publication : [S.l.] : Academic Press, 2003 . 425 p. ; , Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the standard textbook for graduate courses in this area. The Second Edition now brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra. The authors are tops in the field of advanced mathematics, including Steve Smale who is a recipient of the Field's Medal for his work in dynamical systems. * Developed by award-winning researchers and authors * Provides a rigorous yet accessible introduction to differential equations and dynamical systems * Includes bifurcation theory throughout * Contains numerous explorations for students to embark upon NEW IN THIS EDITION * New contemporary material and updated applications * Revisions throughout the text, including simplification of many theorem hypotheses * Many new figures and illustrations * Simplified treatment of linear algebra * Detailed discussion of the chaotic behavior in the Lorenz attractor, the Shil'nikov systems, and the double scroll attractor * Increased coverage of discrete dynamical systems. 23 cm. Date : 2003 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Eigenvalues in Riemannian geometry / par Chavel,, Isaac. Publication : . 1 online resource (xiv, 362 pages) : , The basic goals of the book are: (i) to introduce the subject to those interested in discovering it, (ii) to coherently present a number of basic techniques and results, currently used in the subject, to those working in it, and (iii) to present some of the results that are attractive in their own right, and which lend themselves to a presentation not overburdened with technical machinery. Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Shock waves & explosions par Sachdev, P.L. Publication : Boca Raton Chapman and Hall/CRC 2004 . 278 p. , Understanding the causes and effects of explosions is important to experts in a broad range of disciplines, including the military, industrial and environmental research, aeronautic engineering, and applied mathematics. Offering an introductory review of historic research, Shock Waves and Explosions brings analytic and computational methods to a wide audience in a clear and thorough way. Beginning with an overview of the research on combustion and gas dynamics in the 1970s and 1980s, the author brings you up to date by covering modeling techniques and asymptotic and perturbative methods and ending with a chapter on computational methods. Most of the book deals with the mathematical analysis of explosions, but computational results are also included wherever they are available. Historical perspectives are provided on the advent of nonlinear science, as well as on the mathematical study of the blast wave phenomenon, both when visualized as a point explosion and when simulated as the expansion of a high-pressure gas. This volume clearly reveals the ingenuity of the human mind to conceptualize, model, and mathematically analyze highly complicated nonlinear phenomena such as nuclear explosions. It presents a solid foundation of knowledge that encourages further research and original ideas. 24 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Differential equations, dynamical systems, and linear algebra / par Hirsch, Morris W., Publication : . 1 online resource (xi, 358 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780123495501,  http://www.sciencedirect.com/science/publication?issn=00798169&volume=60,

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Linear differential equations and function spaces / par Massera, José Luis, Publication : . 1 online resource (xx, 404 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780123745682,  http://www.sciencedirect.com/science/publication?issn=00798169&volume=21,

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Kernel functions and elliptic differential equations in mathematical physics / par Bergman, Stefan, Publication : . 1 online resource (xiii, 432 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780123745811,  http://www.sciencedirect.com/science/publication?issn=00798169&volume=4,

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The heat equation / par Widder, D. V. Publication : . 1 online resource (xiv, 267 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780127485409,  http://www.sciencedirect.com/science/publication?issn=00798169&volume=67,

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Eigenvalues in Riemannian geometry / par Chavel, Isaac. Publication : . 1 online resource (xiv, 362 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780121706401,  http://www.sciencedirect.com/science/publication?issn=00798169&volume=115,

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Basic linear partial differential equations / par Treves, Francois, Publication : . 1 online resource (xvii, 470 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780128994405,  http://www.sciencedirect.com/science/publication?issn=00798169&volume=62,

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