Abstract
This report contains a compilation of selected references which have been useful in the preparation of lectures and in assigning outside reading for the numerical mathematics courses taught in the Department of Computer Science at Southern Methodist University. Introductory remarks describe the environment in which the courses are taught as well as criteria for reference selection. The references are divided up into eleven sections:1. General Texts; 2. Numerical Approximation, Interpolation, and Extrapolation; 3. Numerical Integration and Differentiation; 4. Numerical Linear Algebra; 5. Numerical Solution of Differential Equations; 6. Software Influences; 7. Symbolic and Algebraic Manipulation; 8. Computational Complexity; 9. Hardware Influences; 10. Computer arithmetic; 11. Recommended Periodicals. In addition, many of the references are placed in one or more of three categories: generally-recognized classics in a subject area; relatively applied presentations; works containing extensive bibliographical material. Brief descriptions of the courses which utilize the references are included along with a list of sources for research and technical reports.
- 1. M. Ginsberg, "Introduction to the Study of Algorithms for Computing Upper and Lower Bounds to the Exact Solution of Problems in Numerical Analysis," Report No. CP 73024, Department of Computer Science, Southern Methodist University, Dallas, Texas, August 1973.Google Scholar
- 2. M. Ginsberg, "The Design and Use of an Undergraduate Numerical Analysis Laboratory," Proceedings of Symposia in Applied Mathematics: The Influence of Computing on Mathematical Research and Education, Vol. 20, American Mathematical Society, Providence, R. I., 1974, pp. 135-140.Google Scholar
- 3. M. Ginsberg, "The Design and Use of Audio Cassettes for a Numerical Methods Course," Report No. CP 74029, Department of Computer Science, Southern Methodist University, Dallas, Texas, October 1974.Google Scholar
- 4. M. Ginsberg, "A Preliminary Version of a Laboratory Manual for an Undergraduate Numerical Methods Course," Report No. CP 74032, Department of Computer Science, Southern Methodist University, Dallas, Texas, December 1974.Google Scholar
- 5. M. Ginsberg, "A Guide to the Literature of Modern Numerical Mathematics," Bibliography 36, Computing Reviews, February 1975, pp. 83-97.Google Scholar
Index Terms
A guide to the literature for undergraduate and graduate courses in numerical mathematics
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