Symmetry and separation of variables:
Originally published in 1977, this volume is concerned with the relationship between symmetries of a linear second-order partial differential equation of mathematical physics, the coordinate systems in which the equation admits solutions via separation of variables, and the properties of the special...
Gespeichert in:
| Beteilige Person: | |
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| Weitere beteiligte Personen: | |
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1984
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| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 4 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1017/CBO9781107325623 https://doi.org/10.1017/CBO9781107325623 https://doi.org/10.1017/CBO9781107325623 |
| Zusammenfassung: | Originally published in 1977, this volume is concerned with the relationship between symmetries of a linear second-order partial differential equation of mathematical physics, the coordinate systems in which the equation admits solutions via separation of variables, and the properties of the special functions that arise in this manner. Some group-theoretic twists in the ancient method of separation of variables that can be used to provide a foundation for much of special function theory are shown. In particular, it is shown explicitly that all special functions that arise via separation of variables in the equations of mathematical physics can be studied using group theory |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Umfang: | 1 online resource (xxx, 285 pages) |
| ISBN: | 9781107325623 |
| DOI: | 10.1017/CBO9781107325623 |
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| 520 | |a Originally published in 1977, this volume is concerned with the relationship between symmetries of a linear second-order partial differential equation of mathematical physics, the coordinate systems in which the equation admits solutions via separation of variables, and the properties of the special functions that arise in this manner. Some group-theoretic twists in the ancient method of separation of variables that can be used to provide a foundation for much of special function theory are shown. In particular, it is shown explicitly that all special functions that arise via separation of variables in the equations of mathematical physics can be studied using group theory | ||
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Datensatz im Suchindex
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| author_role | aut |
| author_sort | Miller, Willard |
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| building | Verbundindex |
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| dewey-full | 530.1/555 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.1/555 |
| dewey-search | 530.1/555 |
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| discipline | Physik Mathematik |
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| id | DE-604.BV043941559 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:49:17Z |
| institution | BVB |
| isbn | 9781107325623 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350529 |
| oclc_num | 907963373 |
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| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xxx, 285 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 1984 |
| publishDateSearch | 1984 |
| publishDateSort | 1984 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Encyclopedia of mathematics and its applications |
| spelling | Miller, Willard Verfasser aut Symmetry and separation of variables Willard Miller, Jr. ; with a foreword by Richard Askey Symmetry & Separation of Variables Cambridge Cambridge University Press 1984 1 online resource (xxx, 285 pages) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 4 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Originally published in 1977, this volume is concerned with the relationship between symmetries of a linear second-order partial differential equation of mathematical physics, the coordinate systems in which the equation admits solutions via separation of variables, and the properties of the special functions that arise in this manner. Some group-theoretic twists in the ancient method of separation of variables that can be used to provide a foundation for much of special function theory are shown. In particular, it is shown explicitly that all special functions that arise via separation of variables in the equations of mathematical physics can be studied using group theory Symmetry (Physics) Functions, Special Differential equations, Partial / Numerical solutions Separation of variables Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Spezielle Funktion (DE-588)4182213-4 gnd rswk-swf Physik (DE-588)4045956-1 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Physik (DE-588)4045956-1 s Differentialgleichung (DE-588)4012249-9 s 1\p DE-604 Spezielle Funktion (DE-588)4182213-4 s 2\p DE-604 Partielle Differentialgleichung (DE-588)4044779-0 s 3\p DE-604 Askey, Richard aui Erscheint auch als Druckausgabe 978-0-521-17739-9 Erscheint auch als Druckausgabe 978-0-521-30224-1 https://doi.org/10.1017/CBO9781107325623 Verlag URL des Erstveröffentlichers 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 | Miller, Willard Symmetry and separation of variables Symmetry (Physics) Functions, Special Differential equations, Partial / Numerical solutions Separation of variables Partielle Differentialgleichung (DE-588)4044779-0 gnd Spezielle Funktion (DE-588)4182213-4 gnd Physik (DE-588)4045956-1 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4182213-4 (DE-588)4045956-1 (DE-588)4012249-9 |
| title | Symmetry and separation of variables |
| title_alt | Symmetry & Separation of Variables |
| title_auth | Symmetry and separation of variables |
| title_exact_search | Symmetry and separation of variables |
| title_full | Symmetry and separation of variables Willard Miller, Jr. ; with a foreword by Richard Askey |
| title_fullStr | Symmetry and separation of variables Willard Miller, Jr. ; with a foreword by Richard Askey |
| title_full_unstemmed | Symmetry and separation of variables Willard Miller, Jr. ; with a foreword by Richard Askey |
| title_short | Symmetry and separation of variables |
| title_sort | symmetry and separation of variables |
| topic | Symmetry (Physics) Functions, Special Differential equations, Partial / Numerical solutions Separation of variables Partielle Differentialgleichung (DE-588)4044779-0 gnd Spezielle Funktion (DE-588)4182213-4 gnd Physik (DE-588)4045956-1 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| topic_facet | Symmetry (Physics) Functions, Special Differential equations, Partial / Numerical solutions Separation of variables Partielle Differentialgleichung Spezielle Funktion Physik Differentialgleichung |
| url | https://doi.org/10.1017/CBO9781107325623 |
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