Polynomial sequences: basic methods, special classes, and computational applications
Polynomials are useful mathematical tools. They are simply defined and can be calculated quickly on computer systems. They can be differentiated and integrated easily and can be pieced together to form spline curves. After Weierstrass approximation Theorem, polynomial sequences have acquired conside...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Berlin ; Boston
De Gruyter
[2024]
|
| Schriftenreihe: | De Gruyter studies in mathematics
Volume96 |
| Schlagworte: | |
| Online-Zugang: | DE-1043 DE-1046 DE-858 DE-Aug4 DE-859 DE-860 DE-91 DE-20 DE-706 DE-739 URL des Erstveröffentlichers |
| Zusammenfassung: | Polynomials are useful mathematical tools. They are simply defined and can be calculated quickly on computer systems. They can be differentiated and integrated easily and can be pieced together to form spline curves. After Weierstrass approximation Theorem, polynomial sequences have acquired considerable importance not only in the variousbranches of Mathematics, but also in Physics, Chemistry and Engineering disciplines. There is a wide literature on specific polynomial sequences. But there is no literature that attempts a systematic exposition of the main basic methods for the study of a generic polynomial sequence and, at the same time, gives an overview of the main polynomial classes and related applications, at least in numerical analysis. In this book, through an elementary matrix calculus-based approach, an attempt is made to fill this gap by exposing dated and very recent results, both theoretical and applied |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Jan 2024) |
| Beschreibung: | 1 Online-Ressource (XVII, 506 Seiten) |
| ISBN: | 9783110757248 9783110757323 |
| DOI: | 10.1515/9783110757248 |
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| 520 | |a Polynomials are useful mathematical tools. They are simply defined and can be calculated quickly on computer systems. They can be differentiated and integrated easily and can be pieced together to form spline curves. After Weierstrass approximation Theorem, polynomial sequences have acquired considerable importance not only in the variousbranches of Mathematics, but also in Physics, Chemistry and Engineering disciplines. There is a wide literature on specific polynomial sequences. But there is no literature that attempts a systematic exposition of the main basic methods for the study of a generic polynomial sequence and, at the same time, gives an overview of the main polynomial classes and related applications, at least in numerical analysis. In this book, through an elementary matrix calculus-based approach, an attempt is made to fill this gap by exposing dated and very recent results, both theoretical and applied | ||
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| illustrated | Not Illustrated |
| index_date | 2024-07-03T23:32:02Z |
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| isbn | 9783110757248 9783110757323 |
| language | English |
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| spelling | Costabile, Francesco Verfasser (DE-588)173968651 aut Polynomial sequences basic methods, special classes, and computational applications Francesco Aldo Costabile, Maria Italia Gualtieri, Anna Napoli Berlin ; Boston De Gruyter [2024] 2024 1 Online-Ressource (XVII, 506 Seiten) txt rdacontent c rdamedia cr rdacarrier De Gruyter studies in mathematics Volume96 Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Jan 2024) Polynomials are useful mathematical tools. They are simply defined and can be calculated quickly on computer systems. They can be differentiated and integrated easily and can be pieced together to form spline curves. After Weierstrass approximation Theorem, polynomial sequences have acquired considerable importance not only in the variousbranches of Mathematics, but also in Physics, Chemistry and Engineering disciplines. There is a wide literature on specific polynomial sequences. But there is no literature that attempts a systematic exposition of the main basic methods for the study of a generic polynomial sequence and, at the same time, gives an overview of the main polynomial classes and related applications, at least in numerical analysis. In this book, through an elementary matrix calculus-based approach, an attempt is made to fill this gap by exposing dated and very recent results, both theoretical and applied In English Infinitesimalrechnung Numerische Analysis Polynomsequenzen Reelle Funktionen Gualtieri, Maria Italia 1962- Sonstige (DE-588)1323198237 oth Napoli, Anna 1969- Sonstige (DE-588)1321451636 oth Erscheint auch als Druck-Ausgabe 978-3-11-075723-1 De Gruyter studies in mathematics Volume96 (DE-604)BV044966417 96 https://doi.org/10.1515/9783110757248?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Costabile, Francesco Polynomial sequences basic methods, special classes, and computational applications Infinitesimalrechnung Numerische Analysis Polynomsequenzen Reelle Funktionen De Gruyter studies in mathematics |
| title | Polynomial sequences basic methods, special classes, and computational applications |
| title_auth | Polynomial sequences basic methods, special classes, and computational applications |
| title_exact_search | Polynomial sequences basic methods, special classes, and computational applications |
| title_exact_search_txtP | Polynomial Sequences Basic Methods, Special Classes, and Computational Applications |
| title_full | Polynomial sequences basic methods, special classes, and computational applications Francesco Aldo Costabile, Maria Italia Gualtieri, Anna Napoli |
| title_fullStr | Polynomial sequences basic methods, special classes, and computational applications Francesco Aldo Costabile, Maria Italia Gualtieri, Anna Napoli |
| title_full_unstemmed | Polynomial sequences basic methods, special classes, and computational applications Francesco Aldo Costabile, Maria Italia Gualtieri, Anna Napoli |
| title_short | Polynomial sequences |
| title_sort | polynomial sequences basic methods special classes and computational applications |
| title_sub | basic methods, special classes, and computational applications |
| topic | Infinitesimalrechnung Numerische Analysis Polynomsequenzen Reelle Funktionen |
| topic_facet | Infinitesimalrechnung Numerische Analysis Polynomsequenzen Reelle Funktionen |
| url | https://doi.org/10.1515/9783110757248?locatt=mode:legacy |
| volume_link | (DE-604)BV044966417 |
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