Padé approximants:
The first edition of this book was reviewed in 1982 as 'the most extensive treatment of Padé approximants actually available'. This second edition has been thoroughly updated, with a substantial chapter on multiseries approximants. Applications to statistical mechanics and critical phenome...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1996
|
| Ausgabe: | Second edition |
| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 59 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | The first edition of this book was reviewed in 1982 as 'the most extensive treatment of Padé approximants actually available'. This second edition has been thoroughly updated, with a substantial chapter on multiseries approximants. Applications to statistical mechanics and critical phenomena are extensively covered, and there are extended sections devoted to circuit design, matrix Pade approximation, and computational methods. This succinct and straightforward treatment will appeal to scientists, engineers, and mathematicians alike |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xiv, 746 pages) |
| ISBN: | 9780511530074 |
| DOI: | 10.1017/CBO9780511530074 |
Internformat
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| 505 | 8 | |a 1. Introduction and definitions -- 2. Elementary developments -- 3. Pade approximants and numerical methods -- 4. Connection with continued fractions -- 5. Stieltjes series and Polya series -- 6. Convergence theory -- 7. Extensions of Pade approximations -- 8. Multiseries approximants -- 9. Connection with integral equations and quantum mechanics -- 10. Connection with numerical analysis -- 11. Connection with quantum field theory -- Appendix: A FORTRAN FUNCTION. | |
| 520 | |a The first edition of this book was reviewed in 1982 as 'the most extensive treatment of Padé approximants actually available'. This second edition has been thoroughly updated, with a substantial chapter on multiseries approximants. Applications to statistical mechanics and critical phenomena are extensively covered, and there are extended sections devoted to circuit design, matrix Pade approximation, and computational methods. This succinct and straightforward treatment will appeal to scientists, engineers, and mathematicians alike | ||
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Datensatz im Suchindex
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| author | Baker, George A. 1932- |
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| contents | 1. Introduction and definitions -- 2. Elementary developments -- 3. Pade approximants and numerical methods -- 4. Connection with continued fractions -- 5. Stieltjes series and Polya series -- 6. Convergence theory -- 7. Extensions of Pade approximations -- 8. Multiseries approximants -- 9. Connection with integral equations and quantum mechanics -- 10. Connection with numerical analysis -- 11. Connection with quantum field theory -- Appendix: A FORTRAN FUNCTION. |
| ctrlnum | (ZDB-20-CBO)CR9780511530074 (OCoLC)849911527 (DE-599)BVBBV043942369 |
| dewey-full | 515/.2432 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.2432 |
| dewey-search | 515/.2432 |
| dewey-sort | 3515 42432 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511530074 |
| edition | Second edition |
| format | Electronic eBook |
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| id | DE-604.BV043942369 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9780511530074 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351339 |
| oclc_num | 849911527 |
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| physical | 1 online resource (xiv, 746 pages) |
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| publishDate | 1996 |
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| publisher | Cambridge University Press |
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| series2 | Encyclopedia of mathematics and its applications |
| spelling | Baker, George A. 1932- Verfasser (DE-588)142605077 aut Padé approximants George A. Baker, Jr., Peter Graves-Morris Second edition Cambridge Cambridge University Press 1996 1 online resource (xiv, 746 pages) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 59 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 1. Introduction and definitions -- 2. Elementary developments -- 3. Pade approximants and numerical methods -- 4. Connection with continued fractions -- 5. Stieltjes series and Polya series -- 6. Convergence theory -- 7. Extensions of Pade approximations -- 8. Multiseries approximants -- 9. Connection with integral equations and quantum mechanics -- 10. Connection with numerical analysis -- 11. Connection with quantum field theory -- Appendix: A FORTRAN FUNCTION. The first edition of this book was reviewed in 1982 as 'the most extensive treatment of Padé approximants actually available'. This second edition has been thoroughly updated, with a substantial chapter on multiseries approximants. Applications to statistical mechanics and critical phenomena are extensively covered, and there are extended sections devoted to circuit design, matrix Pade approximation, and computational methods. This succinct and straightforward treatment will appeal to scientists, engineers, and mathematicians alike Mathematische Physik Padé approximant Mathematical physics Padé-Näherung (DE-588)4173060-4 gnd rswk-swf Padé-Näherung (DE-588)4173060-4 s 1\p DE-604 Graves-Morris, Peter R. Sonstige (DE-588)1145300251 oth Erscheint auch als Druckausgabe 978-0-521-13509-2 Erscheint auch als Druckausgabe 978-0-521-45007-2 https://doi.org/10.1017/CBO9780511530074 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Baker, George A. 1932- Padé approximants 1. Introduction and definitions -- 2. Elementary developments -- 3. Pade approximants and numerical methods -- 4. Connection with continued fractions -- 5. Stieltjes series and Polya series -- 6. Convergence theory -- 7. Extensions of Pade approximations -- 8. Multiseries approximants -- 9. Connection with integral equations and quantum mechanics -- 10. Connection with numerical analysis -- 11. Connection with quantum field theory -- Appendix: A FORTRAN FUNCTION. Mathematische Physik Padé approximant Mathematical physics Padé-Näherung (DE-588)4173060-4 gnd |
| subject_GND | (DE-588)4173060-4 |
| title | Padé approximants |
| title_auth | Padé approximants |
| title_exact_search | Padé approximants |
| title_full | Padé approximants George A. Baker, Jr., Peter Graves-Morris |
| title_fullStr | Padé approximants George A. Baker, Jr., Peter Graves-Morris |
| title_full_unstemmed | Padé approximants George A. Baker, Jr., Peter Graves-Morris |
| title_short | Padé approximants |
| title_sort | pade approximants |
| topic | Mathematische Physik Padé approximant Mathematical physics Padé-Näherung (DE-588)4173060-4 gnd |
| topic_facet | Mathematische Physik Padé approximant Mathematical physics Padé-Näherung |
| url | https://doi.org/10.1017/CBO9780511530074 |
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