Applied Partial Differential Equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer US
1998
|
| Series: | Undergraduate Texts in Mathematics
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | This textbook is for the standard, one-semester, junior-senior course that often goes by the title "Elementary Partial Differential Equations" or "Boundary Value Problems;' The audience usually consists of stu dents in mathematics, engineering, and the physical sciences. The topics include derivations of some of the standard equations of mathemati cal physics (including the heat equation, the· wave equation, and the Laplace's equation) and methods for solving those equations on bounded and unbounded domains. Methods include eigenfunction expansions or separation of variables, and methods based on Fourier and Laplace transforms. Prerequisites include calculus and a post-calculus differential equations course. There are several excellent texts for this course, so one can legitimately ask why one would wish to write another. A survey of the content of the existing titles shows that their scope is broad and the analysis detailed; and they often exceed five hundred pages in length. These books gen erally have enough material for two, three, or even four semesters. Yet, many undergraduate courses are one-semester courses. The author has often felt that students become a little uncomfortable when an instructor jumps around in a long volume searching for the right topics, or only par tially covers some topics; but they are secure in completely mastering a short, well-defined introduction. This text was written to proVide a brief, one-semester introduction to partial differential equations |
| Physical Description: | 1 Online-Ressource (XII, 181p. 35 illus) |
| ISBN: | 9781468405330 9780387984391 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/978-1-4684-0533-0 |
Staff View
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| spelling | Logan, J. David Verfasser aut Applied Partial Differential Equations by J. David Logan New York, NY Springer US 1998 1 Online-Ressource (XII, 181p. 35 illus) txt rdacontent c rdamedia cr rdacarrier Undergraduate Texts in Mathematics 0172-6056 This textbook is for the standard, one-semester, junior-senior course that often goes by the title "Elementary Partial Differential Equations" or "Boundary Value Problems;' The audience usually consists of stu dents in mathematics, engineering, and the physical sciences. The topics include derivations of some of the standard equations of mathemati cal physics (including the heat equation, the· wave equation, and the Laplace's equation) and methods for solving those equations on bounded and unbounded domains. Methods include eigenfunction expansions or separation of variables, and methods based on Fourier and Laplace transforms. Prerequisites include calculus and a post-calculus differential equations course. There are several excellent texts for this course, so one can legitimately ask why one would wish to write another. A survey of the content of the existing titles shows that their scope is broad and the analysis detailed; and they often exceed five hundred pages in length. These books gen erally have enough material for two, three, or even four semesters. Yet, many undergraduate courses are one-semester courses. The author has often felt that students become a little uncomfortable when an instructor jumps around in a long volume searching for the right topics, or only par tially covers some topics; but they are secure in completely mastering a short, well-defined introduction. This text was written to proVide a brief, one-semester introduction to partial differential equations Mathematics Global analysis (Mathematics) Analysis Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Partielle Differentialgleichung (DE-588)4044779-0 s 2\p DE-604 https://doi.org/10.1007/978-1-4684-0533-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Logan, J. David Applied Partial Differential Equations Mathematics Global analysis (Mathematics) Analysis Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4123623-3 |
| title | Applied Partial Differential Equations |
| title_auth | Applied Partial Differential Equations |
| title_exact_search | Applied Partial Differential Equations |
| title_full | Applied Partial Differential Equations by J. David Logan |
| title_fullStr | Applied Partial Differential Equations by J. David Logan |
| title_full_unstemmed | Applied Partial Differential Equations by J. David Logan |
| title_short | Applied Partial Differential Equations |
| title_sort | applied partial differential equations |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Partielle Differentialgleichung Lehrbuch |
| url | https://doi.org/10.1007/978-1-4684-0533-0 |
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