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Modeling differential equations in biology

Langue : Anglais

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Couverture de l’ouvrage Modeling differential equations in biology
For undergraduate courses in maths modeling, and biology calculus courses in departments of maths and life sciences. Designed for students who understand the simple basics of calculus, this text focuses on the differential equations and related subjects that are commonly used today by working life scientists. It emphasizes both the mathematics and how the mathematics is employed in order to introduce some potentially useful tools and modes of thought to future experimental biologists.
1. Introduction.
2. Exponential Growth with Appendix on Taylors Theorem.
3. Introduction to Differential Equations.
4. Stability in a One Component System.
5. Systems of First-order Differential Equations.
6. Phase Plane Analysis.
7. Introduction to Vectors.
8. Equilibrium in Two Component, Linear Systems.
9. Stability in Non-linear Systems.
10. Non-linear Stability Again.
11. Matrix Notation.
12. Remarks about Australian Predators.
13. Introduction to Advection.
14. Diffusion Equations.
15. Two Key Properties of the Advection and Diffusion Equations.
16. The No Trawling Zone.
17. Separation of Variables.
18. The Diffusion Equation and Pattern Formation.
19. Stability Criteria.
20. Summary of Advection and Diffusion.
21. Traveling Waves.
22. Traveling Wave Velocities.
23. Periodic Solutions.
24. Fast and Slow.
25. Estimating Elapsed Time.
26. Switches.
27. Testing for Periodicity.
28. Causes of Chaos.
  • Reprints of recent research articles. Illustrates almost all of the mathematics.
  • Commentary for each reprinted article. Summarizes the underlying biological issues so neither students nor instructors need prior knowledge, and shows where and how the mathematics is used.
  • Exclusive focus on single and multivariable aspects of calculus' - With specific emphasis on the applications of differential equations which are used in the life sciences.
  • Review problems with accompanying answers.
  • End of chapter summaries of the important issues.

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Ouvrage de 500 p.

18.5x24 cm

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Prix indicatif 96,04 €

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