Fourier Analysis and Its Applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2003
|
| Schriftenreihe: | Graduate Texts in Mathematics
223 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book presents the basic ideas in Fourier analysis and its applications to the study of partial differential equations. It also covers the Laplace and Zeta transformations and the fundaments of their applications. The author has intended to make his exposition accessible to readers with a limited background, for example, those not acquainted with the Lebesgue integral or with analytic functions of a complex variable. At the same time, he has included discussions of more advanced topics such as the Gibbs phenomenon, distributions, Sturm-Liouville theory, Cesaro summability and multi-dimensional Fourier analysis, topics which one usually will not find in books at this level. Many of the chapters end with a summary of their contents, as well as a short historical note. The text contains a great number of examples, as well as more than 350 exercises. In addition, one of the appendices is a collection of the formulas needed to solve problems in the field. Anders Vretblad is Senior Lecturer of Mathematics at Uppsala University, Sweden |
| Beschreibung: | 1 Online-Ressource (XII, 272 p) |
| ISBN: | 9780387217239 9780387008363 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/b97452 |
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| id | DE-604.BV042418967 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:03Z |
| institution | BVB |
| isbn | 9780387217239 9780387008363 |
| issn | 0072-5285 |
| language | English |
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| spelling | Vretblad, Anders Verfasser aut Fourier Analysis and Its Applications by Anders Vretblad ; edited by S. Axler, F. W. Gehring, K. A. Ribet New York, NY Springer New York 2003 1 Online-Ressource (XII, 272 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 223 0072-5285 This book presents the basic ideas in Fourier analysis and its applications to the study of partial differential equations. It also covers the Laplace and Zeta transformations and the fundaments of their applications. The author has intended to make his exposition accessible to readers with a limited background, for example, those not acquainted with the Lebesgue integral or with analytic functions of a complex variable. At the same time, he has included discussions of more advanced topics such as the Gibbs phenomenon, distributions, Sturm-Liouville theory, Cesaro summability and multi-dimensional Fourier analysis, topics which one usually will not find in books at this level. Many of the chapters end with a summary of their contents, as well as a short historical note. The text contains a great number of examples, as well as more than 350 exercises. In addition, one of the appendices is a collection of the formulas needed to solve problems in the field. Anders Vretblad is Senior Lecturer of Mathematics at Uppsala University, Sweden Mathematics Fourier analysis Fourier Analysis Mathematik Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 s 1\p DE-604 Axler, S. Sonstige oth Gehring, F. W. Sonstige oth Ribet, K. A. Sonstige oth https://doi.org/10.1007/b97452 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Vretblad, Anders Fourier Analysis and Its Applications Mathematics Fourier analysis Fourier Analysis Mathematik Harmonische Analyse (DE-588)4023453-8 gnd |
| subject_GND | (DE-588)4023453-8 |
| title | Fourier Analysis and Its Applications |
| title_auth | Fourier Analysis and Its Applications |
| title_exact_search | Fourier Analysis and Its Applications |
| title_full | Fourier Analysis and Its Applications by Anders Vretblad ; edited by S. Axler, F. W. Gehring, K. A. Ribet |
| title_fullStr | Fourier Analysis and Its Applications by Anders Vretblad ; edited by S. Axler, F. W. Gehring, K. A. Ribet |
| title_full_unstemmed | Fourier Analysis and Its Applications by Anders Vretblad ; edited by S. Axler, F. W. Gehring, K. A. Ribet |
| title_short | Fourier Analysis and Its Applications |
| title_sort | fourier analysis and its applications |
| topic | Mathematics Fourier analysis Fourier Analysis Mathematik Harmonische Analyse (DE-588)4023453-8 gnd |
| topic_facet | Mathematics Fourier analysis Fourier Analysis Mathematik Harmonische Analyse |
| url | https://doi.org/10.1007/b97452 |
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