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Topics in mathematical modelin...
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Topics in mathematical modeling / K.K. Tung.
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Bibliographic Details
Main Author:
Tung, K. K. (Ka-Kit)
Format:
Book
Language:
English
Published:
Princeton, N.J. :
Princeton University Press,
c2007.
Subjects:
Mathematical models.
Online Access:
Publisher description
Table of contents only
Contributor biographical information
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Description
Table of Contents
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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.
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