Modelling Differential Equations in Biology
2nd Edition
$70.00
 Author: C. H. Taubes
 Date Published: January 2008
 availability: In stock
 format: Paperback
 isbn: 9780521708432

Given that a college level life science student will take only one additional calculus course after learning its very basics, what material should such a course cover? This book answers that question. It is based on a very successful onesemester course taught at Harvard and aims to teach students in the life sciences understanding the use of differential equations. It is enriched with illustrative examples from real papers. Necessary notions from linear algebra and partial differential equations are introduced as and when needed, and in the context of applications. Drawing on a very successful onesemester course at Harvard, this text aims to teach students in the life sciences how to use differential equations. It is enriched with illustrative examples from real papers. Necessary notions from mathematics are introduced as and when needed, and in the context of applications. Aimed at biologists wishing to understand mathematical modelling rather than just learning math methods.
Read more Brought alive by reprints of recent research summary articles from Science and Nature illustrating the mathematics and demonstrating to students how the mathematics in the text is used by working biologists
 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
 Provides students with the mathematics that is commonly used by biologists and life scientists as opposed to the mathematics of physicists and engineers commonly found in other texts
Reviews & endorsements
"The authors treatment of the mathematics itself shows a firstrate mathematician's taste and judgment combined with a genuine sympathy for the presumed capabilities and real needs of his target audience. ...Recommended."
ChoiceSee more reviews"This book, well described by its title, stands out among the many similar books on the same subject matter by the inclusion, at the end of chapters, of quite a number of brief journal articles from the research literature which support and amplify the topics under discussion. Overall, I think the exposition is excellent; a student can learn a great deal from this book."
Hal Leslie Smith, Mathematical ReviewsCustomer reviews
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×Product details
 Edition: 2nd Edition
 Date Published: January 2008
 format: Paperback
 isbn: 9780521708432
 length: 526 pages
 dimensions: 254 x 178 x 27 mm
 weight: 0.9kg
 contains: 81 b/w illus. 120 exercises
 availability: In stock
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 nonlinear systems
10. Nonlinear 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
Extra exercises and solutions
Index.