Linear Integral Equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1999
|
| Ausgabe: | Second Edition |
| Schriftenreihe: | Applied Mathematical Sciences
82 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | In the ten years since the first edition of this book appeared, integral equations and integral operators have revealed more of their mathematical beauty and power to me. Therefore, I am pleased to have the opportunity to share some of these new insights with the readers of this book. As in the first edition, the main motivation is to present the fundamental theory of integral equations, some of their main applications, and the basic concepts of their numerical solution in a single volume. This is done from my own perspective of integral equations; I have made no attempt to include all of the recent developments. In addition to making corrections and adjustments throughout the text and updating the references, the following topics have been added: In Section 4.3 the presentation of the Fredholm alternative in dual systems has been slightly simplified and in Section 5.3 the short presentation on the index of operators has been extended. The treatment of boundary value problems in potential theory now includes proofs of the jump relations for single- and double-layer potentials in Section 6.3 and the solution of the Dirichlet problem for the exterior of an arc in two dimensions (Section 7.6). The numerical analysis of the boundary integral equations in Sobolev space settings has been extended for both integral equations of the first kind in Section 13.4 and integral equations of the second kind in Section 12.4 |
| Beschreibung: | 1 Online-Ressource (XIV, 367 p) |
| ISBN: | 9781461205593 9781461268178 |
| DOI: | 10.1007/978-1-4612-0559-3 |
Internformat
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| 490 | 1 | |a Applied Mathematical Sciences |v 82 | |
| 500 | |a In the ten years since the first edition of this book appeared, integral equations and integral operators have revealed more of their mathematical beauty and power to me. Therefore, I am pleased to have the opportunity to share some of these new insights with the readers of this book. As in the first edition, the main motivation is to present the fundamental theory of integral equations, some of their main applications, and the basic concepts of their numerical solution in a single volume. This is done from my own perspective of integral equations; I have made no attempt to include all of the recent developments. In addition to making corrections and adjustments throughout the text and updating the references, the following topics have been added: In Section 4.3 the presentation of the Fredholm alternative in dual systems has been slightly simplified and in Section 5.3 the short presentation on the index of operators has been extended. The treatment of boundary value problems in potential theory now includes proofs of the jump relations for single- and double-layer potentials in Section 6.3 and the solution of the Dirichlet problem for the exterior of an arc in two dimensions (Section 7.6). The numerical analysis of the boundary integral equations in Sobolev space settings has been extended for both integral equations of the first kind in Section 13.4 and integral equations of the second kind in Section 12.4 | ||
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Datensatz im Suchindex
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| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0559-3 |
| edition | Second Edition |
| format | Electronic eBook |
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| id | DE-604.BV042419554 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461205593 9781461268178 |
| language | English |
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| series | Applied Mathematical Sciences |
| series2 | Applied Mathematical Sciences |
| spelling | Kress, Rainer 1941- Verfasser (DE-588)115774416 aut Linear Integral Equations by Rainer Kress Second Edition New York, NY Springer New York 1999 1 Online-Ressource (XIV, 367 p) txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 82 In the ten years since the first edition of this book appeared, integral equations and integral operators have revealed more of their mathematical beauty and power to me. Therefore, I am pleased to have the opportunity to share some of these new insights with the readers of this book. As in the first edition, the main motivation is to present the fundamental theory of integral equations, some of their main applications, and the basic concepts of their numerical solution in a single volume. This is done from my own perspective of integral equations; I have made no attempt to include all of the recent developments. In addition to making corrections and adjustments throughout the text and updating the references, the following topics have been added: In Section 4.3 the presentation of the Fredholm alternative in dual systems has been slightly simplified and in Section 5.3 the short presentation on the index of operators has been extended. The treatment of boundary value problems in potential theory now includes proofs of the jump relations for single- and double-layer potentials in Section 6.3 and the solution of the Dirichlet problem for the exterior of an arc in two dimensions (Section 7.6). The numerical analysis of the boundary integral equations in Sobolev space settings has been extended for both integral equations of the first kind in Section 13.4 and integral equations of the second kind in Section 12.4 Mathematics Global analysis (Mathematics) Analysis Mathematik Lineare Integralgleichung (DE-588)4114426-0 gnd rswk-swf Lineare Integralgleichung (DE-588)4114426-0 s 1\p DE-604 Applied Mathematical Sciences 82 (DE-604)BV040244599 82 https://doi.org/10.1007/978-1-4612-0559-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kress, Rainer 1941- Linear Integral Equations Applied Mathematical Sciences Mathematics Global analysis (Mathematics) Analysis Mathematik Lineare Integralgleichung (DE-588)4114426-0 gnd |
| subject_GND | (DE-588)4114426-0 |
| title | Linear Integral Equations |
| title_auth | Linear Integral Equations |
| title_exact_search | Linear Integral Equations |
| title_full | Linear Integral Equations by Rainer Kress |
| title_fullStr | Linear Integral Equations by Rainer Kress |
| title_full_unstemmed | Linear Integral Equations by Rainer Kress |
| title_short | Linear Integral Equations |
| title_sort | linear integral equations |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Lineare Integralgleichung (DE-588)4114426-0 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Lineare Integralgleichung |
| url | https://doi.org/10.1007/978-1-4612-0559-3 |
| volume_link | (DE-604)BV040244599 |
| work_keys_str_mv | AT kressrainer linearintegralequations |