Lectures on Numerical Mathematics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Boston, MA
Birkhäuser Boston
1990
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| Subjects: | |
| Online Access: | Volltext |
| Item Description: | The present book is an edition of the manuscripts to the courses "Numerical Methods I" and "Numerical Mathematics I and II" which Professor H. Rutishauser held at the E.T.H. in Zürich. The first-named course was newly conceived in the spring semester of 1970, and intended for beginners, while the two others were given repeatedly as elective courses in the sixties. For an understanding of most chapters the fundamentals of linear algebra and calculus suffice. In some places a little complex variable theory is used in addition. However, the reader can get by without any knowledge of functional analysis. The first seven chapters discuss the direct solution of systems of linear equations, the solution of nonlinear systems, least squares problems, interpolation by polynomials, numerical quadrature, and approximation by Chebyshev series and by Remez' algorithm. The remaining chapters include the treatment of ordinary and partial differential equations, the iterative solution of linear equations, and a discussion of eigenvalue problems. In addition, there is an appendix dealing with the qdalgorithm and with an axiomatic treatment of computer arithmetic |
| Physical Description: | 1 Online-Ressource (XVI, 546 p) |
| ISBN: | 9781461234685 9781461280354 |
| DOI: | 10.1007/978-1-4612-3468-5 |
Staff View
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| 500 | |a The present book is an edition of the manuscripts to the courses "Numerical Methods I" and "Numerical Mathematics I and II" which Professor H. Rutishauser held at the E.T.H. in Zürich. The first-named course was newly conceived in the spring semester of 1970, and intended for beginners, while the two others were given repeatedly as elective courses in the sixties. For an understanding of most chapters the fundamentals of linear algebra and calculus suffice. In some places a little complex variable theory is used in addition. However, the reader can get by without any knowledge of functional analysis. The first seven chapters discuss the direct solution of systems of linear equations, the solution of nonlinear systems, least squares problems, interpolation by polynomials, numerical quadrature, and approximation by Chebyshev series and by Remez' algorithm. The remaining chapters include the treatment of ordinary and partial differential equations, the iterative solution of linear equations, and a discussion of eigenvalue problems. In addition, there is an appendix dealing with the qdalgorithm and with an axiomatic treatment of computer arithmetic | ||
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| discipline | Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:06Z |
| institution | BVB |
| isbn | 9781461234685 9781461280354 |
| language | English |
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| spelling | Rutishauser, Heinz Verfasser aut Lectures on Numerical Mathematics by Heinz Rutishauser ; edited by Martin Gutknecht Boston, MA Birkhäuser Boston 1990 1 Online-Ressource (XVI, 546 p) txt rdacontent c rdamedia cr rdacarrier The present book is an edition of the manuscripts to the courses "Numerical Methods I" and "Numerical Mathematics I and II" which Professor H. Rutishauser held at the E.T.H. in Zürich. The first-named course was newly conceived in the spring semester of 1970, and intended for beginners, while the two others were given repeatedly as elective courses in the sixties. For an understanding of most chapters the fundamentals of linear algebra and calculus suffice. In some places a little complex variable theory is used in addition. However, the reader can get by without any knowledge of functional analysis. The first seven chapters discuss the direct solution of systems of linear equations, the solution of nonlinear systems, least squares problems, interpolation by polynomials, numerical quadrature, and approximation by Chebyshev series and by Remez' algorithm. The remaining chapters include the treatment of ordinary and partial differential equations, the iterative solution of linear equations, and a discussion of eigenvalue problems. In addition, there is an appendix dealing with the qdalgorithm and with an axiomatic treatment of computer arithmetic Mathematics Computer science / Mathematics Numerical analysis Numerical Analysis Computational Mathematics and Numerical Analysis Informatik Mathematik Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Numerische Mathematik (DE-588)4042805-9 s 2\p DE-604 Gutknecht, Martin Sonstige oth https://doi.org/10.1007/978-1-4612-3468-5 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 | Rutishauser, Heinz Lectures on Numerical Mathematics Mathematics Computer science / Mathematics Numerical analysis Numerical Analysis Computational Mathematics and Numerical Analysis Informatik Mathematik Numerische Mathematik (DE-588)4042805-9 gnd |
| subject_GND | (DE-588)4042805-9 (DE-588)4151278-9 |
| title | Lectures on Numerical Mathematics |
| title_auth | Lectures on Numerical Mathematics |
| title_exact_search | Lectures on Numerical Mathematics |
| title_full | Lectures on Numerical Mathematics by Heinz Rutishauser ; edited by Martin Gutknecht |
| title_fullStr | Lectures on Numerical Mathematics by Heinz Rutishauser ; edited by Martin Gutknecht |
| title_full_unstemmed | Lectures on Numerical Mathematics by Heinz Rutishauser ; edited by Martin Gutknecht |
| title_short | Lectures on Numerical Mathematics |
| title_sort | lectures on numerical mathematics |
| topic | Mathematics Computer science / Mathematics Numerical analysis Numerical Analysis Computational Mathematics and Numerical Analysis Informatik Mathematik Numerische Mathematik (DE-588)4042805-9 gnd |
| topic_facet | Mathematics Computer science / Mathematics Numerical analysis Numerical Analysis Computational Mathematics and Numerical Analysis Informatik Mathematik Numerische Mathematik Einführung |
| url | https://doi.org/10.1007/978-1-4612-3468-5 |
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