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Topics in mathematical modeling / K. K. Tung.
AUTOR:
Ka-Kit Tung
ISBN:
9780691116426
0691116423
IDIOMA:
eng
PÁGINAS:
XV, 300
AÑO:
2007
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RESUMEN
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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 the social sciences. Yet the prerequisites are minimal: calculus and elementary differential equations.
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INDICE
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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, Poincare and Lorenz
12 El Nino and the Southern oscillation
13 Age of the earth : Lord Kelvin's model
14 Collapsing bridges : Broughton and Tacoma Narrows
App. A Differential equations and their solutions
App. B MATLAB codes
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