An Introduction to Partial Differential Equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2004
|
| Ausgabe: | Second Edition |
| Schriftenreihe: | Texts in Applied Mathematics
13 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Partial differential equations (PDEs) are fundamental to the modeling of natural phenomena, arising in every field of science. Consequently, the desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians; it has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. Like algebra, topology, and rational mechanics, PDEs are a core area of mathematics. This book aims to provide the background necessary to initiate work on a Ph.D. thesis in PDEs for beginning graduate students. Prerequisites include a truly advanced calculus course and basic complex variables. Lebesgue integration is needed only in chapter 10, and the necessary tools from functional analysis are developed within the coarse. The book can be used to teach a variety of different courses. This new edition features new problems throughout, and the problems have been rearranged in each section from simplest to most difficult. New examples have also been added. The material on Sobolev spaces has been rearranged and expanded. A new section on nonlinear variational problems with "Young-measure" solutions appears. The reference section has also been expanded |
| Beschreibung: | 1 Online-Ressource (XIV, 434 p.) 41 illus |
| ISBN: | 9780387216874 9780387004440 |
| ISSN: | 0939-2475 |
| DOI: | 10.1007/b97427 |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/b97427 |
| edition | Second Edition |
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| spelling | Renardy, Michael Verfasser aut An Introduction to Partial Differential Equations by Michael Renardy, Robert C. Rogers Second Edition New York, NY Springer New York 2004 1 Online-Ressource (XIV, 434 p.) 41 illus txt rdacontent c rdamedia cr rdacarrier Texts in Applied Mathematics 13 0939-2475 Partial differential equations (PDEs) are fundamental to the modeling of natural phenomena, arising in every field of science. Consequently, the desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians; it has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. Like algebra, topology, and rational mechanics, PDEs are a core area of mathematics. This book aims to provide the background necessary to initiate work on a Ph.D. thesis in PDEs for beginning graduate students. Prerequisites include a truly advanced calculus course and basic complex variables. Lebesgue integration is needed only in chapter 10, and the necessary tools from functional analysis are developed within the coarse. The book can be used to teach a variety of different courses. This new edition features new problems throughout, and the problems have been rearranged in each section from simplest to most difficult. New examples have also been added. The material on Sobolev spaces has been rearranged and expanded. A new section on nonlinear variational problems with "Young-measure" solutions appears. The reference section has also been expanded Mathematics Differential equations, partial Mathematical physics Engineering mathematics Partial Differential Equations Applications of Mathematics Mathematical Methods in Physics Appl.Mathematics/Computational Methods of Engineering Mathematik Mathematische Physik 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 Rogers, Robert C. Sonstige oth https://doi.org/10.1007/b97427 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 | Renardy, Michael An Introduction to Partial Differential Equations Mathematics Differential equations, partial Mathematical physics Engineering mathematics Partial Differential Equations Applications of Mathematics Mathematical Methods in Physics Appl.Mathematics/Computational Methods of Engineering Mathematik Mathematische Physik Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4123623-3 |
| title | An Introduction to Partial Differential Equations |
| title_auth | An Introduction to Partial Differential Equations |
| title_exact_search | An Introduction to Partial Differential Equations |
| title_full | An Introduction to Partial Differential Equations by Michael Renardy, Robert C. Rogers |
| title_fullStr | An Introduction to Partial Differential Equations by Michael Renardy, Robert C. Rogers |
| title_full_unstemmed | An Introduction to Partial Differential Equations by Michael Renardy, Robert C. Rogers |
| title_short | An Introduction to Partial Differential Equations |
| title_sort | an introduction to partial differential equations |
| topic | Mathematics Differential equations, partial Mathematical physics Engineering mathematics Partial Differential Equations Applications of Mathematics Mathematical Methods in Physics Appl.Mathematics/Computational Methods of Engineering Mathematik Mathematische Physik Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Mathematics Differential equations, partial Mathematical physics Engineering mathematics Partial Differential Equations Applications of Mathematics Mathematical Methods in Physics Appl.Mathematics/Computational Methods of Engineering Mathematik Mathematische Physik Partielle Differentialgleichung Lehrbuch |
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