Topics in Mathematical Modeling. /

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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Tung, K. K. (Ka-Kit)
Format: Electronic eBook
Language:Inglés
Published: Princeton : Princeton University Press, 2016.
Subjects:
Mathematical models.
Modèles mathématiques.
mathematical models.
MATHEMATICS > Applied.
Mathematical models
Online Access:Texto completo
Table of Contents:
  • Frontmatter
  • Contents
  • Preface
  • 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, Poincaré and Lorenz
  • 12. El Niño and the Southern Oscillation
  • 13. Age of the Earth: Lord Kelvin's Model
  • 14. Collapsing Bridges: Broughton and Tacoma Narrows
  • Appendix A. Differential Equations and Their Solutions
  • Appendix B. Matlab Codes
  • Bibliography
  • Index.

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