Partial differential equations: 1 Basic theory

This text provides an introduction to the theory of 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 particu...

Full description

Saved in:
Bibliographic Details
Main Author: Taylor, Michael Eugene 1946- (Author)
Format: Book
Language:English
Published: New York [und andere] Springer 1997
Edition:Corr. 2. printing
Series:Applied mathematical sciences 115
Subjects:
Summary:This text provides an introduction to the theory of 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. Companion texts, which take the theory of partial differential equations further, are AMS volume 116, treating more advanced topics in linear PDE, and AMS volume 117, treating problems in nonlinear PDE
This 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
Physical Description:XXI, 561 S. graph. Darst.
ISBN:0387946535

There is no print copy available.

Interlibrary loan Place Request Caution: Not in THWS collection!