Mathematical Theory of Diffraction:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2004
|
| Schriftenreihe: | Progress in Mathematical Physics
35 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Arnold Sommerfeld's Mathematical Theory of Diffraction marks a milestone in optical theory, full of insights that are still relevant today. In a stunning tour de force, Sommerfeld derives the first mathematically rigorous solution of an optical diffraction problem. Indeed, his diffraction analysis is a surprisingly rich and complex mix of pure and applied mathematics, and his often-cited diffraction solution is presented only as an application of a much more general set of mathematical results. The body of Sommerfeld's work is devoted to the systematic development of a method for deriving solutions of the wave equation on Riemann surfaces, a fascinating but perhaps underappreciated topic in mathematical physics. This complete translation, reflecting substantial scholarship, is the first publication in English of Sommerfeld's original work. The extensive notes by the translators are rich in historical background and provide many technical details for the reader. A detailed account of the previous diffraction analyses of Kirchhoff and Poincaré provides a context for the striking originality and power of Sommerfeld's ideas. The availability of this translation is an enriching contribution to the community of mathematical and theoretical physicists |
| Beschreibung: | 1 Online-Ressource (IX, 157 p) |
| ISBN: | 9780817681968 9781461264859 |
| DOI: | 10.1007/978-0-8176-8196-8 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-0-8176-8196-8 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:21:04Z |
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| isbn | 9780817681968 9781461264859 |
| language | English |
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| spelling | Sommerfeld, Arnold Verfasser aut Mathematical Theory of Diffraction by Arnold Sommerfeld Boston, MA Birkhäuser Boston 2004 1 Online-Ressource (IX, 157 p) txt rdacontent c rdamedia cr rdacarrier Progress in Mathematical Physics 35 Arnold Sommerfeld's Mathematical Theory of Diffraction marks a milestone in optical theory, full of insights that are still relevant today. In a stunning tour de force, Sommerfeld derives the first mathematically rigorous solution of an optical diffraction problem. Indeed, his diffraction analysis is a surprisingly rich and complex mix of pure and applied mathematics, and his often-cited diffraction solution is presented only as an application of a much more general set of mathematical results. The body of Sommerfeld's work is devoted to the systematic development of a method for deriving solutions of the wave equation on Riemann surfaces, a fascinating but perhaps underappreciated topic in mathematical physics. This complete translation, reflecting substantial scholarship, is the first publication in English of Sommerfeld's original work. The extensive notes by the translators are rich in historical background and provide many technical details for the reader. A detailed account of the previous diffraction analyses of Kirchhoff and Poincaré provides a context for the striking originality and power of Sommerfeld's ideas. The availability of this translation is an enriching contribution to the community of mathematical and theoretical physicists Mathematics Mathematical physics Applications of Mathematics History of Mathematical Sciences Mathematical Methods in Physics Optics and Electrodynamics Optics, Optoelectronics, Plasmonics and Optical Devices Mathematik Mathematische Physik Lichtbeugung (DE-588)4195853-6 gnd rswk-swf Lichtbeugung (DE-588)4195853-6 s 1\p DE-604 https://doi.org/10.1007/978-0-8176-8196-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Sommerfeld, Arnold Mathematical Theory of Diffraction Mathematics Mathematical physics Applications of Mathematics History of Mathematical Sciences Mathematical Methods in Physics Optics and Electrodynamics Optics, Optoelectronics, Plasmonics and Optical Devices Mathematik Mathematische Physik Lichtbeugung (DE-588)4195853-6 gnd |
| subject_GND | (DE-588)4195853-6 |
| title | Mathematical Theory of Diffraction |
| title_auth | Mathematical Theory of Diffraction |
| title_exact_search | Mathematical Theory of Diffraction |
| title_full | Mathematical Theory of Diffraction by Arnold Sommerfeld |
| title_fullStr | Mathematical Theory of Diffraction by Arnold Sommerfeld |
| title_full_unstemmed | Mathematical Theory of Diffraction by Arnold Sommerfeld |
| title_short | Mathematical Theory of Diffraction |
| title_sort | mathematical theory of diffraction |
| topic | Mathematics Mathematical physics Applications of Mathematics History of Mathematical Sciences Mathematical Methods in Physics Optics and Electrodynamics Optics, Optoelectronics, Plasmonics and Optical Devices Mathematik Mathematische Physik Lichtbeugung (DE-588)4195853-6 gnd |
| topic_facet | Mathematics Mathematical physics Applications of Mathematics History of Mathematical Sciences Mathematical Methods in Physics Optics and Electrodynamics Optics, Optoelectronics, Plasmonics and Optical Devices Mathematik Mathematische Physik Lichtbeugung |
| url | https://doi.org/10.1007/978-0-8176-8196-8 |
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