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Topics in mathematical modeling

Author: K K Tung
Publisher: Princeton, N.J. : Princeton University Press, ©2007.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
Topics in Mathematical Modeling 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. Among the many topics addressed are HIV; plant phyllotaxis; global warming;  Read more...
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Additional Physical Format: Online version:
Tung, K.K.
Topics in mathematical modeling.
Princeton, N.J. : Princeton University Press, ©2007
(OCoLC)651727370
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: K K Tung
ISBN: 0691116423 9780691116426
OCLC Number: 123904504
Description: xv, 300 pages : illustrations ; 27 cm
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.
Responsibility: K.K. Tung.
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Abstract:

Teaches how simple mathematics can help formulate and solve real problems of research interest in a range of fields, including biology, ecology, computer science, geophysics, engineering, and the  Read more...

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"This beautifully produced book should provide a joyful and stimulating reading experience for any layman who is curious about real-life events in the context of mathematical modelling, and it Read more...

 
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