Partial differential equations. I, Basic theory /
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| Author / Creator: | Taylor, Michael E., 1946- |
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| Edition: | 2nd ed. |
| Imprint: | New York : Springer, c2011. |
| Description: | 1 online resource (xxii, 654 p.) |
| Language: | English |
| Series: | Applied mathematical sciences ; v. 115 Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 115. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/8896399 |
| Summary: | 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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| Physical Description: | 1 online resource (xxii, 654 p.) |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9781441970558 144197055X |