Separation of variables for Riemannian spaces of constant curvature:
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Harlow, Essex
Longman Scientific & Technical [u.a.]
1986
|
Ausgabe: | 1. publ. |
Schriftenreihe: | Pitman monographs and surveys in pure and applied mathematics
28 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | 172 S. |
ISBN: | 0470203668 |
Internformat
MARC
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100 | 1 | |a Kalnins, E. G. |e Verfasser |4 aut | |
245 | 1 | 0 | |a Separation of variables for Riemannian spaces of constant curvature |c E. G. Kalnins |
250 | |a 1. publ. | ||
264 | 1 | |a Harlow, Essex |b Longman Scientific & Technical [u.a.] |c 1986 | |
300 | |a 172 S. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 1 | |a Pitman monographs and surveys in pure and applied mathematics |v 28 | |
650 | 4 | |a Espaces à courbure constante | |
650 | 4 | |a Riemann, Variétés de | |
650 | 4 | |a Équations aux dérivées partielles - Solutions numériques | |
650 | 4 | |a Differential equations, Partial |x Numerical solutions | |
650 | 4 | |a Riemannian manifolds | |
650 | 4 | |a Separation of variables | |
650 | 4 | |a Spaces of constant curvature | |
650 | 0 | 7 | |a Riemannscher Raum |0 (DE-588)4128295-4 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Separation |g Mathematik |0 (DE-588)4386864-2 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Variable |0 (DE-588)4129518-3 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Konstante Krümmung |0 (DE-588)4287357-5 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Variable |0 (DE-588)4129518-3 |D s |
689 | 0 | 1 | |a Separation |g Mathematik |0 (DE-588)4386864-2 |D s |
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Datensatz im Suchindex
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adam_text | Contents
Preface
1. Introduction 1
2. Historical outline of the separation of variables
(principal results) 6
3. Separation of variables on the n sphere S 23
n
3. 1 Mathematical preliminaries 23
3.2 Separation of variables on S 29
n
3. 3 Construction of separable coordinate systems on S 42
n
3. 4 Properties of separable systems in S 49
n
4. Separation of variables in Euclidean n space E 56
n
4.1 Mathematical preliminaries 56
4. 2 Separation of variables on E 57
n
4. 3 Construction of separable coordinates on E 63
n
5. Separation of variables on H 70
n
5.1 Mathematical preliminaries 70
5. 2 Separation of variables on H 71
n
5. 3 Construction of separable coordinate systems on H 88
n
5. 4 Properties of separable systems on H 96
6. Separation of variables on conformally Euclidean spaces 107
6.1 Mathematical preliminaries 107
6. 2 Separable coordinate systems on conformally
Euclidean spaces 112
6. 3 Construction of separable coordinates for
conformally Euclidean spaces 124
7. Separation of variables for the heat equation 130
8. Other aspects of variable separation 153
Appendix: Crucial results due to Eisenhart 156
References 166
Index 171
|
any_adam_object | 1 |
author | Kalnins, E. G. |
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ctrlnum | (OCoLC)12345129 (DE-599)BVBBV000672978 |
dewey-full | 515.3/53 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515.3/53 |
dewey-search | 515.3/53 |
dewey-sort | 3515.3 253 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
edition | 1. publ. |
format | Book |
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illustrated | Not Illustrated |
indexdate | 2024-07-09T15:17:35Z |
institution | BVB |
isbn | 0470203668 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000419868 |
oclc_num | 12345129 |
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owner | DE-12 DE-91G DE-BY-TUM DE-11 DE-188 |
owner_facet | DE-12 DE-91G DE-BY-TUM DE-11 DE-188 |
physical | 172 S. |
publishDate | 1986 |
publishDateSearch | 1986 |
publishDateSort | 1986 |
publisher | Longman Scientific & Technical [u.a.] |
record_format | marc |
series | Pitman monographs and surveys in pure and applied mathematics |
series2 | Pitman monographs and surveys in pure and applied mathematics |
spelling | Kalnins, E. G. Verfasser aut Separation of variables for Riemannian spaces of constant curvature E. G. Kalnins 1. publ. Harlow, Essex Longman Scientific & Technical [u.a.] 1986 172 S. txt rdacontent n rdamedia nc rdacarrier Pitman monographs and surveys in pure and applied mathematics 28 Espaces à courbure constante Riemann, Variétés de Équations aux dérivées partielles - Solutions numériques Differential equations, Partial Numerical solutions Riemannian manifolds Separation of variables Spaces of constant curvature Riemannscher Raum (DE-588)4128295-4 gnd rswk-swf Separation Mathematik (DE-588)4386864-2 gnd rswk-swf Variable (DE-588)4129518-3 gnd rswk-swf Konstante Krümmung (DE-588)4287357-5 gnd rswk-swf Variable (DE-588)4129518-3 s Separation Mathematik (DE-588)4386864-2 s Riemannscher Raum (DE-588)4128295-4 s Konstante Krümmung (DE-588)4287357-5 s DE-604 Pitman monographs and surveys in pure and applied mathematics 28 (DE-604)BV000022446 28 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000419868&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Kalnins, E. G. Separation of variables for Riemannian spaces of constant curvature Pitman monographs and surveys in pure and applied mathematics Espaces à courbure constante Riemann, Variétés de Équations aux dérivées partielles - Solutions numériques Differential equations, Partial Numerical solutions Riemannian manifolds Separation of variables Spaces of constant curvature Riemannscher Raum (DE-588)4128295-4 gnd Separation Mathematik (DE-588)4386864-2 gnd Variable (DE-588)4129518-3 gnd Konstante Krümmung (DE-588)4287357-5 gnd |
subject_GND | (DE-588)4128295-4 (DE-588)4386864-2 (DE-588)4129518-3 (DE-588)4287357-5 |
title | Separation of variables for Riemannian spaces of constant curvature |
title_auth | Separation of variables for Riemannian spaces of constant curvature |
title_exact_search | Separation of variables for Riemannian spaces of constant curvature |
title_full | Separation of variables for Riemannian spaces of constant curvature E. G. Kalnins |
title_fullStr | Separation of variables for Riemannian spaces of constant curvature E. G. Kalnins |
title_full_unstemmed | Separation of variables for Riemannian spaces of constant curvature E. G. Kalnins |
title_short | Separation of variables for Riemannian spaces of constant curvature |
title_sort | separation of variables for riemannian spaces of constant curvature |
topic | Espaces à courbure constante Riemann, Variétés de Équations aux dérivées partielles - Solutions numériques Differential equations, Partial Numerical solutions Riemannian manifolds Separation of variables Spaces of constant curvature Riemannscher Raum (DE-588)4128295-4 gnd Separation Mathematik (DE-588)4386864-2 gnd Variable (DE-588)4129518-3 gnd Konstante Krümmung (DE-588)4287357-5 gnd |
topic_facet | Espaces à courbure constante Riemann, Variétés de Équations aux dérivées partielles - Solutions numériques Differential equations, Partial Numerical solutions Riemannian manifolds Separation of variables Spaces of constant curvature Riemannscher Raum Separation Mathematik Variable Konstante Krümmung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000419868&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV000022446 |
work_keys_str_mv | AT kalninseg separationofvariablesforriemannianspacesofconstantcurvature |