Interpolation and Approximation by Polynomials:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2003
|
| Schriftenreihe: | CMS Books in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book covers the main topics concerned with interpolation and approximation by polynomials. This subject can be traced back to the precalculus era but has enjoyed most of its growth and development since the end of the nineteenth century and is still a lively and flourishing part of mathematics. In addition to coverage of univariate interpolation and approximation, the text includes material on multivariate interpolation and multivariate numerical integration, a generalization of the Bernstein polynomials that has not previously appeared in book form, and a greater coverage of Peano kernel theory than is found in most textbooks. There are many worked examples and each section ends with a number of carefully selected problems that extend the student's understanding of the text. George Phillips has lectured and researched in mathematics at the University of St. Andrews, Scotland. His most recent book, Two Millenia of Mathematics: From Archimedes to Gauss (Springer 2000), received enthusiastic reviews in the USA, Britain and Canada. He is well known for his clarity of writing and his many contributions as a researcher in approximation theory |
| Beschreibung: | 1 Online-Ressource (XIV, 312 p) |
| ISBN: | 9780387216829 9780387002156 |
| ISSN: | 1613-5237 |
| DOI: | 10.1007/b97417 |
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Datensatz im Suchindex
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| discipline | Mathematik |
| doi_str_mv | 10.1007/b97417 |
| format | Electronic eBook |
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| id | DE-604.BV042418954 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:03Z |
| institution | BVB |
| isbn | 9780387216829 9780387002156 |
| issn | 1613-5237 |
| language | English |
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| publishDate | 2003 |
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| spelling | Phillips, George M. Verfasser aut Interpolation and Approximation by Polynomials by George M. Phillips New York, NY Springer New York 2003 1 Online-Ressource (XIV, 312 p) txt rdacontent c rdamedia cr rdacarrier CMS Books in Mathematics 1613-5237 This book covers the main topics concerned with interpolation and approximation by polynomials. This subject can be traced back to the precalculus era but has enjoyed most of its growth and development since the end of the nineteenth century and is still a lively and flourishing part of mathematics. In addition to coverage of univariate interpolation and approximation, the text includes material on multivariate interpolation and multivariate numerical integration, a generalization of the Bernstein polynomials that has not previously appeared in book form, and a greater coverage of Peano kernel theory than is found in most textbooks. There are many worked examples and each section ends with a number of carefully selected problems that extend the student's understanding of the text. George Phillips has lectured and researched in mathematics at the University of St. Andrews, Scotland. His most recent book, Two Millenia of Mathematics: From Archimedes to Gauss (Springer 2000), received enthusiastic reviews in the USA, Britain and Canada. He is well known for his clarity of writing and his many contributions as a researcher in approximation theory Mathematics Numerical analysis Approximations and Expansions Numerical Analysis Optics, Optoelectronics, Plasmonics and Optical Devices Mathematik Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Polynomapproximation (DE-588)4197097-4 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 s 1\p DE-604 Polynomapproximation (DE-588)4197097-4 s 2\p DE-604 https://doi.org/10.1007/b97417 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 |
| spellingShingle | Phillips, George M. Interpolation and Approximation by Polynomials Mathematics Numerical analysis Approximations and Expansions Numerical Analysis Optics, Optoelectronics, Plasmonics and Optical Devices Mathematik Numerische Mathematik (DE-588)4042805-9 gnd Polynomapproximation (DE-588)4197097-4 gnd |
| subject_GND | (DE-588)4042805-9 (DE-588)4197097-4 |
| title | Interpolation and Approximation by Polynomials |
| title_auth | Interpolation and Approximation by Polynomials |
| title_exact_search | Interpolation and Approximation by Polynomials |
| title_full | Interpolation and Approximation by Polynomials by George M. Phillips |
| title_fullStr | Interpolation and Approximation by Polynomials by George M. Phillips |
| title_full_unstemmed | Interpolation and Approximation by Polynomials by George M. Phillips |
| title_short | Interpolation and Approximation by Polynomials |
| title_sort | interpolation and approximation by polynomials |
| topic | Mathematics Numerical analysis Approximations and Expansions Numerical Analysis Optics, Optoelectronics, Plasmonics and Optical Devices Mathematik Numerische Mathematik (DE-588)4042805-9 gnd Polynomapproximation (DE-588)4197097-4 gnd |
| topic_facet | Mathematics Numerical analysis Approximations and Expansions Numerical Analysis Optics, Optoelectronics, Plasmonics and Optical Devices Mathematik Numerische Mathematik Polynomapproximation |
| url | https://doi.org/10.1007/b97417 |
| work_keys_str_mv | AT phillipsgeorgem interpolationandapproximationbypolynomials |