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Partial Differential Equations I

Name: Partial Differential Equations I
Brand: Springer International Publishing
SKU: 47124527
Price: 63.19 EUR
Availability: InStock
Author: Michael E. Taylor
ISBN: 9783031338618

Michael E. Taylor

Sprache

Englisch

Buch Broschur

Libristo-Code: 47124527

Verlag Springer International Publishing, Dezember 2024

The first of three volumes on partial differential equations, this one introduces basic examples ari... Vollständige Beschreibung

Libristo-Code: 47124527

155 b

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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.

Review of first edition: "These volumes will be read by several generations of readers eager to learn the modern theory of partial differential equations of mathematical physics and the analysis in which this theory is rooted."
(Peter Lax, SIAM review, June 1998)

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Informationen zum Buch

Vollständiger Name Partial Differential Equations I

Autor Michael E. Taylor

Sprache

Englisch

Einband Buch - Broschur

Datum der Veröffentlichung 2024

Anzahl der Seiten 740

EAN 9783031338618

ISBN 3031338618

Libristo-Code 47124527

Verlag Springer International Publishing

Gewicht 1235

Abmessungen 155 x 235 x 37

Kategorie

Mathematik und Naturwissenschaften > Mathematik > Mathematische Analysis, allgemein > Differentialrechnung und -gleichungen

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