Partial Differential Equations, I: Basic Theory. Applied Mathematical Sciences, 115.

Taylor, Michael E.

ISBN 10: 0387946535 / ISBN 13: 9780387946535

Published by Springer. 1996., 1996

About this Item

Hardcover. Good. Xxi,563pp. Some annotations with leadpencil in the text.

Seller Inventory # 107086

Bibliographic Details

• Title: Partial Differential Equations, I: Basic Theory. Applied Mathematical Sciences, 115.
• Publisher: Springer. 1996.
• Publication Date: 1996
• Language: English
• ISBN 10: 0387946535
• ISBN 13: 9780387946535
• Binding: Hardcover
• Condition: Gebraucht / Used

About this title

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.

From the Back Cover

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.