Linear differential operators:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Philadelphia, Pa.
Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
1996
|
| Schriftenreihe: | Classics in applied mathematics
18 |
| Schlagworte: | |
| Online-Zugang: | TUM01 UBW01 UBY01 UER01 Volltext |
| Beschreibung: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references and index Preface -- Bibliography -- Chapter 1. Interpolation -- Chapter 2. Harmonic analysis -- Chapter 3. Matrix calculus -- Chapter 4. The function space -- Chapter 5. The Green's function -- Chapter 6. Communication problems -- Chapter 7. Sturm-Liouville problems -- Chapter 8. Boundary value problems -- Chapter 9. Numerical solution of trajectory problems -- Appendix -- Index Originally published in 1961, this Classics edition continues to be appealing because it describes a large number of techniques still useful today. Although the primary focus is on the analytical theory, concrete cases are cited to forge the link between theory and practice. Considerable manipulative skill in the practice of differential equations is to be developed by solving the 350 problems in the text. The problems are intended as stimulating corollaries linking theory with application and providing the reader with the foundation for tackling more difficult problems. Lanczos begins with three introductory chapters that explore some of the technical tools needed later in the book, and then goes on to discuss interpolation, harmonic analysis, matrix calculus, the concept of the function space, boundary value problems, and the numerical solution of trajectory problems, among other things. The emphasis is constantly on one question: "What are the basic and characteristic properties of linear differential operators?" In the author's words, this book is written for those "to whom a problem in ordinary or partial differential equations is not a problem of logical acrobatism, but a problem in the exploration of the physical universe. To get an explicit solution of a given boundary value problem is in this age of large electronic computers no longer a basic question. But of what value is the numerical answer if the scientist does not understand the peculiar analytical properties and idiosyncrasies of the given operator? The author hopes that this book will help in this task by telling something about the manifold aspects of a fascinating field." |
| Beschreibung: | 1 Online-Ressource (xvii, 564 Seiten) |
| ISBN: | 0898713706 9780898713701 |
| DOI: | 10.1137/1.9781611971187 |
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| 490 | 1 | |a Classics in applied mathematics |v 18 | |
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| 500 | |a Includes bibliographical references and index | ||
| 500 | |a Preface -- Bibliography -- Chapter 1. Interpolation -- Chapter 2. Harmonic analysis -- Chapter 3. Matrix calculus -- Chapter 4. The function space -- Chapter 5. The Green's function -- Chapter 6. Communication problems -- Chapter 7. Sturm-Liouville problems -- Chapter 8. Boundary value problems -- Chapter 9. Numerical solution of trajectory problems -- Appendix -- Index | ||
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| author | Lanczos, Cornelius 1893-1974 |
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| discipline | Mathematik |
| doi_str_mv | 10.1137/1.9781611971187 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T00:10:18Z |
| institution | BVB |
| isbn | 0898713706 9780898713701 |
| language | English |
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| series2 | Classics in applied mathematics |
| spelling | Lanczos, Cornelius 1893-1974 Verfasser (DE-588)11929253X aut Linear differential operators Cornelius Lanczos Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) 1996 1 Online-Ressource (xvii, 564 Seiten) txt rdacontent c rdamedia cr rdacarrier Classics in applied mathematics 18 Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references and index Preface -- Bibliography -- Chapter 1. Interpolation -- Chapter 2. Harmonic analysis -- Chapter 3. Matrix calculus -- Chapter 4. The function space -- Chapter 5. The Green's function -- Chapter 6. Communication problems -- Chapter 7. Sturm-Liouville problems -- Chapter 8. Boundary value problems -- Chapter 9. Numerical solution of trajectory problems -- Appendix -- Index Originally published in 1961, this Classics edition continues to be appealing because it describes a large number of techniques still useful today. Although the primary focus is on the analytical theory, concrete cases are cited to forge the link between theory and practice. Considerable manipulative skill in the practice of differential equations is to be developed by solving the 350 problems in the text. The problems are intended as stimulating corollaries linking theory with application and providing the reader with the foundation for tackling more difficult problems. Lanczos begins with three introductory chapters that explore some of the technical tools needed later in the book, and then goes on to discuss interpolation, harmonic analysis, matrix calculus, the concept of the function space, boundary value problems, and the numerical solution of trajectory problems, among other things. The emphasis is constantly on one question: "What are the basic and characteristic properties of linear differential operators?" In the author's words, this book is written for those "to whom a problem in ordinary or partial differential equations is not a problem of logical acrobatism, but a problem in the exploration of the physical universe. To get an explicit solution of a given boundary value problem is in this age of large electronic computers no longer a basic question. But of what value is the numerical answer if the scientist does not understand the peculiar analytical properties and idiosyncrasies of the given operator? The author hopes that this book will help in this task by telling something about the manifold aspects of a fascinating field." Calculus, Operational Differential equations, Linear Differentialoperator (DE-588)4012251-7 gnd rswk-swf Lineare Differentialgleichung (DE-588)4206889-7 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Linearer Differentialoperator (DE-588)4167717-1 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Linearer Differentialoperator (DE-588)4167717-1 s DE-604 Lineare Differentialgleichung (DE-588)4206889-7 s 1\p DE-604 Differentialgleichung (DE-588)4012249-9 s 2\p DE-604 Randwertproblem (DE-588)4048395-2 s 3\p DE-604 Differentialoperator (DE-588)4012251-7 s 4\p DE-604 Erscheint auch als Druck-Ausgabe, Paperback 0898713706 (DE-604)BV011450024 Erscheint auch als Druck-Ausgabe, Paperback 9780898713701 Classics in applied mathematics 18 (DE-604)BV040633091 18 https://doi.org/10.1137/1.9781611971187 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lanczos, Cornelius 1893-1974 Linear differential operators Classics in applied mathematics Calculus, Operational Differential equations, Linear Differentialoperator (DE-588)4012251-7 gnd Lineare Differentialgleichung (DE-588)4206889-7 gnd Randwertproblem (DE-588)4048395-2 gnd Linearer Differentialoperator (DE-588)4167717-1 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| subject_GND | (DE-588)4012251-7 (DE-588)4206889-7 (DE-588)4048395-2 (DE-588)4167717-1 (DE-588)4012249-9 |
| title | Linear differential operators |
| title_auth | Linear differential operators |
| title_exact_search | Linear differential operators |
| title_full | Linear differential operators Cornelius Lanczos |
| title_fullStr | Linear differential operators Cornelius Lanczos |
| title_full_unstemmed | Linear differential operators Cornelius Lanczos |
| title_short | Linear differential operators |
| title_sort | linear differential operators |
| topic | Calculus, Operational Differential equations, Linear Differentialoperator (DE-588)4012251-7 gnd Lineare Differentialgleichung (DE-588)4206889-7 gnd Randwertproblem (DE-588)4048395-2 gnd Linearer Differentialoperator (DE-588)4167717-1 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| topic_facet | Calculus, Operational Differential equations, Linear Differentialoperator Lineare Differentialgleichung Randwertproblem Linearer Differentialoperator Differentialgleichung |
| url | https://doi.org/10.1137/1.9781611971187 |
| volume_link | (DE-604)BV040633091 |
| work_keys_str_mv | AT lanczoscornelius lineardifferentialoperators |