MARC details
| 000 -LEADER |
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| fixed length control field |
02367nmm a22002295i 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20230705150629.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
101029s2011 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781441970558 |
| -- |
978-1-4419-7055-8 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.35 |
| Edition number |
23 |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Taylor, Michael E. |
| 9 (RLIN) |
20038 |
| 245 ## - TITLE STATEMENT |
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| Title |
Partial Differential Equations I |
| Medium |
[electronic resource] : |
| Remainder of title |
Basic Theory / |
| Statement of responsibility, etc. |
by Michael E. Taylor. |
| 250 ## - EDITION STATEMENT |
|---|
| Edition statement |
2nd ed. 2011. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
|---|
| Place of publication, distribution, etc. |
New York, NY : |
| Name of publisher, distributor, etc. |
Springer New York : |
| -- |
Imprint: Springer, |
| Date of publication, distribution, etc. |
2011. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XXII, 654 p. |
| Other physical details |
online resource. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
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). |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Differential equations. |
| 9 (RLIN) |
20039 |
|
|---|
| Topical term or geographic name entry element |
Manifolds (Mathematics). |
| 9 (RLIN) |
20040 |
|
|---|
| Topical term or geographic name entry element |
Differential Equations. |
| 9 (RLIN) |
20041 |
|
|---|
| Topical term or geographic name entry element |
Manifolds and Cell Complexes. |
| 9 (RLIN) |
20042 |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://doi.org/10.1007/978-1-4419-7055-8">https://doi.org/10.1007/978-1-4419-7055-8</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
e-Book |
