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Modelling Differential Equations in Biology

Modelling Differential Equations in Biology

2nd Edition

$70.00

textbook
  • Date Published: January 2008
  • availability: In stock
  • format: Paperback
  • isbn: 9780521708432

$70.00
Paperback

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Description
Contents
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About the Authors
  • 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 one-semester 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 one-semester 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.

    • 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
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    Reviews & endorsements

    "The authors treatment of the mathematics itself shows a first-rate mathematician's taste and judgment combined with a genuine sympathy for the presumed capabilities and real needs of his target audience. ...Recommended."
    Choice

    "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 Reviews

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    Product details

    • Edition: 2nd Edition
    • Date Published: January 2008
    • format: Paperback
    • isbn: 9780521708432
    • length: 524 pages
    • dimensions: 247 x 175 x 23 mm
    • weight: 1.04kg
    • 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 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
    Extra exercises and solutions
    Index.

  • Author

    C. H. Taubes, Harvard University, Massachusetts
    fm.author_biographical_note1

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