عنوان

Topics in mathematical modeling /

(Number (ISBN

0691116423

(Number (ISBN

9780691116426

Title Proper

Topics in mathematical modeling /

General Material Designation

[Book]

First Statement of Responsibility

K.K. Tung.

Place of Publication, Distribution, etc.

Princeton, N.J. :

Name of Publisher, Distributor, etc.

Princeton University Press,

Date of Publication, Distribution, etc.

©2007.

Specific Material Designation and Extent of Item

xv, 300 pages :

Other Physical Details

illustrations ;

Dimensions

27 cm

Text of Note

Includes bibliographical references and index.

Text of Note

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.

0

Text of Note

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.

Title

Topics in mathematical modeling.

Mathematical models.

Modèles mathématiques.

Modèles mathématiques.

Matematiska modeller.

Mathematical models.

Mathematisches Modell

Mathematisches Modell.

Number

Edition

Class number

Book number

Class number

Class number

System Code

System Code

Tung, K. K., (Ka-Kit)

Date of Transaction

20200822122654.0

Electronic name

[Book]

Y