Potential Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1974
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Potential theory grew out of mathematical physics, in particular out of the theory of gravitation and the theory of electrostatics. Mathematical physicists such as Poisson and Green introduced some of the central ideas of the subject. A mathematician with a general knowledge of analysis may find it useful to begin his study of classical potential theory by looking at its physical origins. Sections 2, 5 and 6 of these Notes give in part heuristic arguments based on physical considerations. These heuristic arguments suggest mathematical theorems and provide the mathematician with the problem of finding the proper hypotheses and mathematical proofs. These Notes are based on a one-semester course given by the author at Brown University in 1971. On the part of the reader, they assume a knowledge of Real Function Theory to the extent of a first year graduate course. In addition some elementary facts regarding harmonic functions are aS$umed as known. For convenience we have listed these facts in the Appendix. Some notation is also explained there. Essentially all the proofs we give in the Notes are for Euclidean 3-space R3 and Newtonian potentials ~ |
| Beschreibung: | 1 Online-Ressource (VIII, 149 p) |
| ISBN: | 9783662127278 9783540068570 |
| DOI: | 10.1007/978-3-662-12727-8 |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-12727-8 |
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| spelling | Wermer, John Verfasser aut Potential Theory by John Wermer Berlin, Heidelberg Springer Berlin Heidelberg 1974 1 Online-Ressource (VIII, 149 p) txt rdacontent c rdamedia cr rdacarrier Potential theory grew out of mathematical physics, in particular out of the theory of gravitation and the theory of electrostatics. Mathematical physicists such as Poisson and Green introduced some of the central ideas of the subject. A mathematician with a general knowledge of analysis may find it useful to begin his study of classical potential theory by looking at its physical origins. Sections 2, 5 and 6 of these Notes give in part heuristic arguments based on physical considerations. These heuristic arguments suggest mathematical theorems and provide the mathematician with the problem of finding the proper hypotheses and mathematical proofs. These Notes are based on a one-semester course given by the author at Brown University in 1971. On the part of the reader, they assume a knowledge of Real Function Theory to the extent of a first year graduate course. In addition some elementary facts regarding harmonic functions are aS$umed as known. For convenience we have listed these facts in the Appendix. Some notation is also explained there. Essentially all the proofs we give in the Notes are for Euclidean 3-space R3 and Newtonian potentials ~ Mathematics Mathematics, general Mathematik Potenzialtheorie (DE-588)4046939-6 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content 2\p (DE-588)1071861417 Konferenzschrift 1969 Stresa gnd-content Potenzialtheorie (DE-588)4046939-6 s 3\p DE-604 https://doi.org/10.1007/978-3-662-12727-8 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 |
| spellingShingle | Wermer, John Potential Theory Mathematics Mathematics, general Mathematik Potenzialtheorie (DE-588)4046939-6 gnd |
| subject_GND | (DE-588)4046939-6 (DE-588)4151278-9 (DE-588)1071861417 |
| title | Potential Theory |
| title_auth | Potential Theory |
| title_exact_search | Potential Theory |
| title_full | Potential Theory by John Wermer |
| title_fullStr | Potential Theory by John Wermer |
| title_full_unstemmed | Potential Theory by John Wermer |
| title_short | Potential Theory |
| title_sort | potential theory |
| topic | Mathematics Mathematics, general Mathematik Potenzialtheorie (DE-588)4046939-6 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Potenzialtheorie Einführung Konferenzschrift 1969 Stresa |
| url | https://doi.org/10.1007/978-3-662-12727-8 |
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