Theory and Applications of Partial Differential Equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
1997
|
| Schriftenreihe: | Mathematical Concepts and Methods in Science and Engineering
46 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is a product of the experience of the authors in teaching partial differential equations to students of mathematics, physics, and engineering over a period of 20 years. Our goal in writing it has been to introduce the subject with precise and rigorous analysis on the one hand, and interesting and significant applications on the other. The starting level of the book is at the first-year graduate level in a U.S. university. Previous experience with partial differential equations is not required, but the use of classical analysis to find solutions of specific problems is not emphasized. From that perspective our treatment is decidedly theoretical. We have avoided abstraction and full generality in many situations, however. Our plan has been to introduce fundamental ideas in relatively simple situations and to show their impact on relevant applications. The student is then, we feel, well prepared to fight through more specialized treatises. There are parts of the exposition that require Lebesgue integration, distributions and Fourier transforms, and Sobolev spaces. We have included a long appendix, Chapter 8, giving precise statements of all results used. This may be thought of as an introduction to these topics. The reader who is not familiar with these subjects may refer to parts of Chapter 8 as needed or become somewhat familiar with them as prerequisite and treat Chapter 8 as Chapter O. |
| Beschreibung: | 1 Online-Ressource (IX, 444 p) |
| ISBN: | 9781489918758 9781489918772 |
| DOI: | 10.1007/978-1-4899-1875-8 |
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| indexdate | 2024-07-10T01:21:09Z |
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| isbn | 9781489918758 9781489918772 |
| language | English |
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| spelling | Bassanini, Piero Verfasser aut Theory and Applications of Partial Differential Equations by Piero Bassanini, Alan R. Elcrat Boston, MA Springer US 1997 1 Online-Ressource (IX, 444 p) txt rdacontent c rdamedia cr rdacarrier Mathematical Concepts and Methods in Science and Engineering 46 This book is a product of the experience of the authors in teaching partial differential equations to students of mathematics, physics, and engineering over a period of 20 years. Our goal in writing it has been to introduce the subject with precise and rigorous analysis on the one hand, and interesting and significant applications on the other. The starting level of the book is at the first-year graduate level in a U.S. university. Previous experience with partial differential equations is not required, but the use of classical analysis to find solutions of specific problems is not emphasized. From that perspective our treatment is decidedly theoretical. We have avoided abstraction and full generality in many situations, however. Our plan has been to introduce fundamental ideas in relatively simple situations and to show their impact on relevant applications. The student is then, we feel, well prepared to fight through more specialized treatises. There are parts of the exposition that require Lebesgue integration, distributions and Fourier transforms, and Sobolev spaces. We have included a long appendix, Chapter 8, giving precise statements of all results used. This may be thought of as an introduction to these topics. The reader who is not familiar with these subjects may refer to parts of Chapter 8 as needed or become somewhat familiar with them as prerequisite and treat Chapter 8 as Chapter O. Mathematics Differential equations, partial Partial Differential Equations Theoretical, Mathematical and Computational Physics Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s 1\p DE-604 Elcrat, Alan R. Sonstige oth https://doi.org/10.1007/978-1-4899-1875-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bassanini, Piero Theory and Applications of Partial Differential Equations Mathematics Differential equations, partial Partial Differential Equations Theoretical, Mathematical and Computational Physics Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4044779-0 |
| title | Theory and Applications of Partial Differential Equations |
| title_auth | Theory and Applications of Partial Differential Equations |
| title_exact_search | Theory and Applications of Partial Differential Equations |
| title_full | Theory and Applications of Partial Differential Equations by Piero Bassanini, Alan R. Elcrat |
| title_fullStr | Theory and Applications of Partial Differential Equations by Piero Bassanini, Alan R. Elcrat |
| title_full_unstemmed | Theory and Applications of Partial Differential Equations by Piero Bassanini, Alan R. Elcrat |
| title_short | Theory and Applications of Partial Differential Equations |
| title_sort | theory and applications of partial differential equations |
| topic | Mathematics Differential equations, partial Partial Differential Equations Theoretical, Mathematical and Computational Physics Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Mathematics Differential equations, partial Partial Differential Equations Theoretical, Mathematical and Computational Physics Mathematik Partielle Differentialgleichung |
| url | https://doi.org/10.1007/978-1-4899-1875-8 |
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