Partial Differential Equations I: Basic Theory (Applied Mathematical Sciences Book 115) 2nd Edition by Michael E. Taylor | (PDF) Free Download

Description

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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Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I have not read this work in any detail yet but so far it reads well, is on point and develops the background I am hoping will be useful in research. A good start to an ambitious survey of modern PDE theory at the graduate level.

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