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Springer Partial Differential Equations I: Basic Theory: 115 (Applied Mathematical Sciences, 115)

Name: Partial Differential Equations I: Basic Theory: 115 (Applied Mathematical Sciences, 115)
Brand: Springer

Differential Equations

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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. The third edition further expands the material by incorporating new theorems and applications throughout the book, and by deepening connections and relating concepts across chapters. In includes new sections on rigid body motion, on probabilistic results related to random walks, on aspects of operator theory related to quantum mechanics, on overdetermined systems, and on the Euler equation for incompressible fluids. The appendices have also been updated with additional results, ranging from weak convergence of measures to the curvature of Kahler manifolds. Michael E. Taylor is a Professor of Mathematics at the University of North Carolina, Chapel Hill, NC. Review of first edition: “These volumes will be read by several generations of readers eager to learn the modern theory of partial differential equations of mathematical physics and the analysis in which this theory is rooted.” (Peter Lax, SIAM review, June 1998)

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

Product Type: Abis Book

Language: English

Color: Yellow

Product Specifications

Brand: Springer
Format: hardcover
ASIN: 3031338588
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Differential Equations
Domain: Amazon UK
Release Date: 07 December 2023
Listed Since: 21 April 2023

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Springer Partial Differential Equations I: Basic Theory: 115 (Applied Mathematical Sciences, 115)

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