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" Topics in mathematical modeling / "
K.K. Tung.
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BL
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| Record Number
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879841
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| Main Entry
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Tung, K. K., (Ka-Kit)
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| Title & Author
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Topics in mathematical modeling /\ K.K. Tung.
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| Publication Statement
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Princeton, N.J. :: Princeton University Press,, ©2007.
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| Page. NO
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xv, 300 pages :: illustrations ;; 27 cm
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| ISBN
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0691116423
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: 9780691116426
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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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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| Abstract
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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; the World Wide Web; plant and animal vascular networks; social networks; chaos and fractals; marriage and divorce; and El Niño. Traditional modeling topics such as predator-prey interaction, harvesting, and wars of attrition are also included. Most chapters begin with the history of a problem, follow with a demonstration of how it can be modeled using various mathematical tools, and close with a discussion of its remaining unsolved aspects.--Publisher.
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| Subject
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Mathematical models.
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Modèles mathématiques.
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Modèles mathématiques.
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Matematiska modeller.
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Mathematical models.
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Mathematisches Modell
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Mathematisches Modell.
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| Dewey Classification
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511/.8
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| LC Classification
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QA401.T746 2007
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| NLM classification
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MAT 001fstub
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SK 950rvk
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