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Modeling Differential Equations in Biology Clifford Henry Taubes

Modeling Differential Equations in Biology By Clifford Henry Taubes

Modeling Differential Equations in Biology by Clifford Henry Taubes

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Summary

Designed for students who understand the simple basics of calculus, this book focuses on the differential equations and related subjects that are commonly used today by working scientists. Reprints of research articles, accompanied by commentary, are included.

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Modeling Differential Equations in Biology Summary

Modeling Differential Equations in Biology by Clifford Henry Taubes

For undergraduate courses in math modeling, and biology calculus courses in departments of math 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.

Table of Contents



 1. Introduction.


 2. Exponential Growth with Appendix on Taylor's 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.

Additional information

CIN0130173258G
9780130173256
0130173258
Modeling Differential Equations in Biology by Clifford Henry Taubes
Clifford Henry Taubes
Used - Good
Hardback
Pearson Education (US)
2000-12-11
479
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in good condition, but if you are not entirely satisfied please get in touch with us

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