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.
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Review
From the reviews:
“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)
From the reviews of the second edition:
“This substantial three-volume work is an upgraded version of the comprehensive qualitative analysis of partial differential equations presented in the earlier edition. ... Graduate students ... will find these three volumes to be not just a fine and rigorous treatment of the subject, but also a source of inspiration to apply their knowledge and ability to the solution of other challenging problems in the field of partial differential equations. ... an excellent text for all devotees of the charming and thought-provoking byways of higher mathematics.” (Christian Constanda, The Mathematical Association of America, June, 2011)
From the Back Cover
This text provides an introduction to the theory of partial differential equations. It introduces basic examples of partial differential equations, arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, including particularly Fourier analysis, distribution theory, and Sobolev spaces. These tools are 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. Companion texts, which take the theory of partial differential equations further, are AMS volume 116, treating more advanced topics in linear PDE, and AMS volume 117, treating problems in nonlinear PDE. This book is addressed to graduate students in mathematics and to professional mathematicians, with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis.
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Partial Differential Equations I: Basic Theory
Published by
Springer-Verlag, New York, NY, 1996
ISBN 10: 0387946535
ISBN 13: 9780387946535
Used
Hardcover
First Edition
Seller: Black Cat Hill Books, Oregon City, OR, U.S.A.
Seller rating 5 out of 5 stars
Hardcover. Condition: Very Good. First Edition; 2nd Corrected Printing. Very Good: a faint crack at the lower rear hinge; a hint of rubbing to the extremities and mild bumps and wear to the lower corner tips; the faintest smudges to the outside edges of the text block; the binding is square and secure; the text is clean. Free of creased or dog-eared pages in the text. Free of any underlining, hi-lighting or marginalia or marks in the text. Free of ownership names, dates, addresses, notations, inscriptions, stamps, or labels. A handsome copy, tightly bound, showing only the noted imperfections. NOT a Remainder, Book-Club, or Ex-Library. 8vo (9.5 x 6.35 x 1.35 inches). Language: English. Weight: 34 ounces. Hardcover: Laminate Boards. 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. ; Applied Mathematical Sciences; Vol. 115; Large 8vo 9" - 10" tall; xxi, 561 pages. Seller Inventory # 59212
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Partial Differential Equations, I: Basic Theory. Applied Mathematical Sciences, 115.
Seller: Antiquariaat Ovidius, Bredevoort, Netherlands
Seller rating 4 out of 5 stars
Condition: Gebraucht / Used. Hardcover. Good. Xxi,563pp. Some annotations with leadpencil in the text. Seller Inventory # 107086