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 ...
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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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Add this copy of Partial Differential Equations I: Basic Theory (Applied to cart. $15.27, good condition, Sold by Phatpocket Limited rated 4.0 out of 5 stars, ships from Waltham Abbey, ESSEX, UNITED KINGDOM, published 1996 by Springer.
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Add this copy of Partial Differential Equations: I: Basic Theory, 2nd to cart. $76.90, new condition, Sold by Equilibrium Worldbooks rated 4.0 out of 5 stars, ships from San Gabriel, CA, UNITED STATES, published 2012 by Springer-Verlag New York Inc..
Edition:
Softcover reprint of hardcover 2nd edition 2011
Publisher:
Springer-Verlag New York Inc.
Published:
2012
Language:
English
Alibris ID:
12042982395
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New in new dust jacket. Trade paperback (US). 678 p. Applied Mathematical Sciences., 115. Audience: College/higher education; Professional and scholarly. Please double check the textbook description: Express shipping takes 3-5 days with free tracking number! Brand New Paperback International edition textbook, 2nd edition. Different ISBN number and book cover design. The content is exactly same as original US edition. The book printed in Black/White, the book cover may contain the foreign words and the restriction sale disclaimer.
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New in new dust jacket. 676 p. Applied Mathematical Sciences., v. 115. Audience: Professional and scholarly. Please double check the textbook description: Express shipping takes 3-5 days with free tracking number! Brand New Paperback International edition textbook, 2nd edition. Different ISBN number and book cover design. The content is exactly same as original US edition. The book printed in Black/White, the book cover may contain the foreign words and the restriction sale disclaimer.
