Numerical Quadrature and Solution of Ordinary Differential Equations: A Textbook for a Beginning Course in Numerical Analysis
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1974
|
| Schriftenreihe: | Applied Mathematical Sciences
10 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This is a textbook for a one semester course on numerical analysis for senior undergraduate or beginning graduate students with no previous knowledge of the subject. The prerequisites are calculus, some knowledge of ordinary differential equations, and knowledge of computer programming using Fortran. Normally this should be half of a two semester course, the other semester covering numerical solution of linear systems, inversion of matrices and roots of polynomials. Neither semester should be a prerequisite for the other. This would prepare the student for advanced topics on numerical analysis such as partial differential equations. We are philosophically opposed to a one semester surveyor "numerical methods" course which covers all of the above mentioned topics, plus perhaps others, in one semester. We believe the student in such a course does not learn enough about anyone topic to develop an appreciation for it. For reference Chapter I contains statements of results from other branches of mathematics needed for the numerical analysis. The instructor may have to review some of these results. Chapter 2 contains basic results about interpolation. We spend only about one week of a semester on interpolation and divide the remainder of the semester between quadrature and differential equations. Most of the sections not marked with an * can be covered in one semester. The sections marked with an * are included as a guide for further study |
| Beschreibung: | 1 Online-Ressource (XI, 338 p) |
| ISBN: | 9781461263906 9780387901008 |
| ISSN: | 0066-5452 |
| DOI: | 10.1007/978-1-4612-6390-6 |
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Datensatz im Suchindex
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| discipline | Mathematik |
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| spelling | Stroud, A. H. Verfasser aut Numerical Quadrature and Solution of Ordinary Differential Equations A Textbook for a Beginning Course in Numerical Analysis by A. H. Stroud New York, NY Springer New York 1974 1 Online-Ressource (XI, 338 p) txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 10 0066-5452 This is a textbook for a one semester course on numerical analysis for senior undergraduate or beginning graduate students with no previous knowledge of the subject. The prerequisites are calculus, some knowledge of ordinary differential equations, and knowledge of computer programming using Fortran. Normally this should be half of a two semester course, the other semester covering numerical solution of linear systems, inversion of matrices and roots of polynomials. Neither semester should be a prerequisite for the other. This would prepare the student for advanced topics on numerical analysis such as partial differential equations. We are philosophically opposed to a one semester surveyor "numerical methods" course which covers all of the above mentioned topics, plus perhaps others, in one semester. We believe the student in such a course does not learn enough about anyone topic to develop an appreciation for it. For reference Chapter I contains statements of results from other branches of mathematics needed for the numerical analysis. The instructor may have to review some of these results. Chapter 2 contains basic results about interpolation. We spend only about one week of a semester on interpolation and divide the remainder of the semester between quadrature and differential equations. Most of the sections not marked with an * can be covered in one semester. The sections marked with an * are included as a guide for further study Mathematics Mathematics, general Mathematik Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 s Numerisches Verfahren (DE-588)4128130-5 s 1\p DE-604 Numerische Mathematik (DE-588)4042805-9 s 2\p DE-604 https://doi.org/10.1007/978-1-4612-6390-6 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 | Stroud, A. H. Numerical Quadrature and Solution of Ordinary Differential Equations A Textbook for a Beginning Course in Numerical Analysis Mathematics Mathematics, general Mathematik Numerisches Verfahren (DE-588)4128130-5 gnd Numerische Mathematik (DE-588)4042805-9 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4042805-9 (DE-588)4020929-5 |
| title | Numerical Quadrature and Solution of Ordinary Differential Equations A Textbook for a Beginning Course in Numerical Analysis |
| title_auth | Numerical Quadrature and Solution of Ordinary Differential Equations A Textbook for a Beginning Course in Numerical Analysis |
| title_exact_search | Numerical Quadrature and Solution of Ordinary Differential Equations A Textbook for a Beginning Course in Numerical Analysis |
| title_full | Numerical Quadrature and Solution of Ordinary Differential Equations A Textbook for a Beginning Course in Numerical Analysis by A. H. Stroud |
| title_fullStr | Numerical Quadrature and Solution of Ordinary Differential Equations A Textbook for a Beginning Course in Numerical Analysis by A. H. Stroud |
| title_full_unstemmed | Numerical Quadrature and Solution of Ordinary Differential Equations A Textbook for a Beginning Course in Numerical Analysis by A. H. Stroud |
| title_short | Numerical Quadrature and Solution of Ordinary Differential Equations |
| title_sort | numerical quadrature and solution of ordinary differential equations a textbook for a beginning course in numerical analysis |
| title_sub | A Textbook for a Beginning Course in Numerical Analysis |
| topic | Mathematics Mathematics, general Mathematik Numerisches Verfahren (DE-588)4128130-5 gnd Numerische Mathematik (DE-588)4042805-9 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Numerisches Verfahren Numerische Mathematik Gewöhnliche Differentialgleichung |
| url | https://doi.org/10.1007/978-1-4612-6390-6 |
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