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Mathematics Applied to Deterministic Problems in the Natural Sciences
Abstract
A. An Overview of the Interaction of Mathematics and Natural Science: 1. What is applied mathematics? 2. Deterministic systems and ordinary differential equations 3. Random processes and ial differential equations 4. Superposition, heat flow, and Fourier analysis 5. Further developments in Fourier analysis B. Some Fundamental Procedures Illustrated on Ordinary Differential Equations: 6. Simplification, dimensional analysis, and scaling 7. Regular perturbation theory 8. Illustration of techniques on a physiological flow problem 9. Introduction to singular perturbation theory 10. Singular perturbation theory applied to a problem in biochemical kinetics 11. Three techniques applied to the simple pendulum C. Introduction to Theories of Continuous Fields: 12. Longitudinal motion of a bar 13. The continuous medium 14. Field equations of continuum mechanics 15. Inviscid fluid flow 16. Potential theory.
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Cited by
A massively parallel architecture for a self-organizing neural pattern recognition machine
Carpenter, G. A., & Grossberg, S. (1987) · Computer Vision, Graphics, and Image Processing · doi:10.1016/s0734-189x(87)80014-2 · Cited by 2,525
Codling, E. A., Plank, M. J., & Benhamou, S. (2008) · Journal of The Royal Society Interface · doi:10.1098/rsif.2008.0014 · Cited by 1,482
Shampine, L. F., Gladwell, I., & Thompson, S. (2003) · Cambridge University Press eBooks · doi:10.1017/cbo9780511615542 · Cited by 828
The Quasi-Steady-State Assumption: A Case Study in Perturbation
Segel, L. A., & Slemrod, M. (1989) · SIAM Review · doi:10.1137/1031091 · Cited by 717
Self-citationRao, C. V., & Arkin, A. P. (2003) · The Journal of Chemical Physics · doi:10.1063/1.1545446 · Cited by 656
Metadata
- Authors
- Lin, C. C., & Segel, L. A.
- Venue
- Society for Industrial and Applied Mathematics eBooks
- Published
- 1988-01
- OpenAlex
- W1581071628
- Cited by
- 591
- References
- 0
- FWCI
- 21.72
- Type
- book
- Language
- en
- Open access
- closed
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- Lin, C. C., & Segel, L. A. (1988). Mathematics Applied to Deterministic Problems in the Natural Sciences. Society for Industrial and Applied Mathematics eBooks. https://doi.org/10.1137/1.9781611971347
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
