Topics in mathematical modeling / K.K. Tung.

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Bibliographic Details
Main Author: Tung, K. K.
Format: Book
Published: Princeton, N.J. : Princeton University Press, c2007.
Online Access:Publisher description
Table of contents only
Contributor biographical information
Table of Contents:
  • Fibonacci numbers, the Golden Ratio, and the laws of nature?
  • Scaling laws of life, the Internet, and social networks
  • Modeling change one step at a time
  • Differential equation models : carbon dating, age of the universe, HIV modeling
  • Modeling in the physical sciences, Kepler, Newton, and calculus
  • Nonlinear population models : an introduction to qualitative analysis using phase planes
  • Discrete time logistic map, periodic and chaotic solutions
  • Snowball earth and global warming
  • Interations : predator-prey, spraying of pests, carnivores in Australia
  • Marriage and divorce
  • Chaos in deterministic continuous systems, Poincaré and Lorenz
  • El Niño and the southern oscillation
  • Age of the earth : Lord Kelvin's model
  • Collapsing bridges : Broughton and Tacoma narrows
  • Appendix A : Differential equations and their solutions
  • Appendix B : MATLAB codes.