Partial Differential Equations : Basic Theory
Taylor, Michael E.
ISBN 10: 3031338588 ISBN 13: 9783031338588
Edité par Springer, 2023
Neuf(s)
Couverture rigide
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A propos de cet article
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N° de réf. du vendeur 46119019-n
Synopsis :
The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces. These tools are then applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations. The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis.
The third edition further expands the material by incorporating new theorems and applications throughout the book, and by deepening connections and relating concepts across chapters. In includes new sections on rigid body motion, on probabilistic results related to random walks, on aspects of operator theory related to quantum mechanics, on overdetermined systems, and on the Euler equation for incompressible fluids. The appendices have also been updated with additional results, ranging from weak convergence of measures to the curvature of Kahler manifolds.Michael E. Taylor is a Professor of Mathematics at the University of North Carolina, Chapel Hill, NC.
(Peter Lax, SIAM review, June 1998)
À propos de l?auteur: Michael E. Taylor is a Professor at North Carolina University in the Department of Mathematics.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
Détails bibliographiques
Titre : Partial Differential Equations : Basic Theory
Éditeur : Springer
Date d'édition : 2023
Reliure : Couverture rigide
Etat : New
Edition : 3ème Édition
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