Partial Differential Equations I

Basic Theory

Nonfiction, Science & Nature, Mathematics, Topology, Differential Equations
Cover of the book Partial Differential Equations I by Michael E. Taylor, Springer New York
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Author: Michael E. Taylor ISBN: 9781441970558
Publisher: Springer New York Publication: October 29, 2010
Imprint: Springer Language: English
Author: Michael E. Taylor
ISBN: 9781441970558
Publisher: Springer New York
Publication: October 29, 2010
Imprint: Springer
Language: English

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.

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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.

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