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Partial Differential Equations I: Basic Theory: 115 (Applied Mathematical Sciences) - Softcover
Book 45 of 94: Applied Mathematical Sciences
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.
"synopsis" may belong to another edition of this title.
About the Author
Michael E. Taylor is a Professor at North Carolina University in the Department of Mathematics.
From the Back Cover
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.In this second edition, there are seven new sections including Sobolev spaces on rough domains, boundary layer phenomena for the heat equation, the space of pseudodifferential operators of harmonic oscillator type, and an index formula for elliptic systems of such operators. In addition, several other sections have been substantially rewritten, and numerous others polished to reflect insights obtained through the use of these books over time. 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."(SIAM Review, June 1998)"About this title" may belong to another edition of this title.
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International Edition
Partial Differential Equations: I: Basic Theory, 2nd
Published by
Springer-Verlag New York Inc., New York, NY, 2012
ISBN 10: 1461427266
ISBN 13: 9781461427261
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Trade paperback
Seller: Aideo Books, San Marino, CA, U.S.A.
Seller rating 5 out of 5 stars
Trade paperback. Condition: New in new dust jacket. Softcover reprint of hardcover 2nd ed. 2. ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Trade paperback (US). 678 p. Applied Mathematical Sciences., 115. Audience: College/higher education; Professional and scholarly. Seller Inventory # K553A0000568