书目名称 | Numerical Quadrature and Solution of Ordinary Differential Equations |
副标题 | A Textbook for a Beg |
编辑 | A. H. Stroud |
视频video | |
丛书名称 | Applied Mathematical Sciences |
图书封面 |  |
描述 | 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 se |
出版日期 | Textbook 1974 |
关键词 | Mean value theorem; Numerical integration; numerical analysis; numerical quadrature; ordinary differenti |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4612-6390-6 |
isbn_softcover | 978-0-387-90100-8 |
isbn_ebook | 978-1-4612-6390-6Series ISSN 0066-5452 Series E-ISSN 2196-968X |
issn_series | 0066-5452 |
copyright | Springer Science+Business Media New York 1974 |