Topics in Mathematical Modeling / / K. K. Tung.
Topics in Mathematical Modeling is an introductory textbook on mathematical modeling. The book teaches how simple mathematics can help formulate and solve real problems of current research interest in a wide range of fields, including biology, ecology, computer science, geophysics, engineering, and...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©2007 |
| Year of Publication: | 2016 |
| Language: | English |
| Online Access: | |
| Physical Description: | 1 online resource (336 p.) :; 31 halftones. 52 line illus. 5 tables. |
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Table of Contents:
- Frontmatter
- Contents
- Preface
- 1. Fibonacci Numbers, the Golden Ratio, and Laws of Nature?
- 2. Scaling Laws of Life, the Internet, and Social Networks
- 3. Modeling Change One Step at a Time
- 4. Differential Equation Models: Carbon Dating, Age of the Universe, HIV Modeling
- 5. Modeling in the Physical Sciences, Kepler, Newton, and Calculus
- 6. Nonlinear Population Models: An Introduction to Qualitative Analysis Using Phase Planes
- 7. Discrete Time Logistic Map, Periodic and Chaotic Solutions
- 8. Snowball Earth and Global Warming
- 9. Interactions: Predator-Prey, Spraying of Pests, Carnivores in Australia
- 10. Marriage and Divorce
- 11. Chaos in Deterministic Continuous Systems, Poincaré and Lorenz
- 12. El Niño and the Southern Oscillation
- 13. Age of the Earth: Lord Kelvin's Model
- 14. Collapsing Bridges: Broughton and Tacoma Narrows
- Appendix A. Differential Equations and Their Solutions
- Appendix B. Matlab Codes
- Bibliography
- Index