Partial Differential Equations I: Basic Theory (Applied Mathematical Sciences, 115, Band 1) - Hardcover

Taylor, Michael E.

 
9780387946535: Partial Differential Equations I: Basic Theory (Applied Mathematical Sciences, 115, Band 1)

Inhaltsangabe

This is the first of three volumes on partial differential equations. It introduces basic examples of partial differential equations, arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, including particularly Fourier analysis, distribution theory, and Sobolev spaces. These tools are 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. Volume I prepares the way for studies of more advanced topics in linear PDE, in Volume 2, and for studies of nonlinear PDE, in Volume 3. The book is addressed to graduate students in mathematics and to professional mathematicians, with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Weitere beliebte Ausgaben desselben Titels

9781441970565: Partial Differential Equations I: Basic Theory

Vorgestellte Ausgabe

ISBN 10:  1441970568 ISBN 13:  9781441970565
Verlag: Springer, 2010
Softcover