Applied Mathematical Sciences: Partial Differential Equations I

Michael E. Taylor

dec. de 2023 · Applied Mathematical Sciences Publicación n.º 115 · Springer Nature

Libro electrónico

714

Páxinas

As valoracións e as recensións non están verificadas Máis información

Acerca deste libro electrónico

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)

Acerca do autor

Michael E. Taylor is a Professor at North Carolina University in the Department of Mathematics.

Valora este libro electrónico

Dános a túa opinión.

Información de lectura

Smartphones e tabletas

Instala a aplicación Google Play Libros para Android e iPad/iPhone. Sincronízase automaticamente coa túa conta e permíteche ler contido en liña ou sen conexión desde calquera lugar.

Portátiles e ordenadores de escritorio

Podes escoitar os audiolibros comprados en Google Play a través do navegador web do ordenador.

Lectores de libros electrónicos e outros dispositivos

Para ler contido en dispositivos de tinta electrónica, como os lectores de libros electrónicos Kobo, é necesario descargar un ficheiro e transferilo ao dispositivo. Sigue as instrucións detalladas do Centro de Axuda para transferir ficheiros a lectores electrónicos admitidos.

Denunciar contido ilegal