Differential Equation Models
Springer-Verlag New York Inc.
978-1-4612-5429-4 (ISBN)
I. Differential Equations, Models, and What To Do with Them.- 1. Setting Up First-Order Differential Equations from Word Problems.- 2. Qualitative Solution Sketching for First-Order Differential Equations.- 3. Difference and Differential Equation Population Growth Models.- II. Growth and Decay Models: First-Order Differential Equations.- 4. The Van Meegeren Art Forgeries.- 5. Single Species Population Models.- 6. The Spread of Technological Innovations.- III. Higher Order Linear Models.- 7. A Model for the Detection of Diabetes.- 8. Combat Models.- 9. Modeling Linear Systems by Frequency Response Methods.- IV. Traffic Models.- 10. How Long Should a Traffic Light Remain Amber?.- 11. Queue Length at a Traffic Light via Flow Theory.- 12. Car-Following Models.- 13. Equilibrium Speed Distributions.- 14. Traffic Flow Theory.- V. Interacting Species: Steady States of Nonlinear Systems.- 15. Why the Percentage of Sharks Caught in the Mediterranean Sea Rose Dramatically During World War I.- 16. Quadratic Population Models: Almost Never Any Cycles.- 17. The Principle of Competitive Exclusion in Population Biology.- 18. Biological Cycles and the Fivefold Way.- 19. Hilbert’s 16th Problem: How Many Cycles?.- VI. Models Leading to Partial Differential Equations.- 20. Surge Tank Analysis.- 21. Shaking a Piece of String to Rest.- 22. Heat Transfer in Frozen Soil.- 23. Network Analysis of Steam Generator Flow.
Erscheint lt. Verlag | 12.12.2012 |
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Reihe/Serie | Modules in Applied Mathematics |
Mitarbeit |
Chef-Herausgeber: W.F. Lucas |
Zusatzinfo | XIX, 380 p. |
Verlagsort | New York, NY |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
ISBN-10 | 1-4612-5429-9 / 1461254299 |
ISBN-13 | 978-1-4612-5429-4 / 9781461254294 |
Zustand | Neuware |
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