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Differential Equations and Mathematical Biology
 
 

Differential Equations and Mathematical Biology [Hardcover]

D.S. Jones (Author), B.D. Sleeman (Author), D. S. Jones (Author)


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Hardcover, February 26, 2003 --  
There is a newer edition of this item:
Differential Equations and Mathematical Biology, Second Edition (Chapman & Hall/CRC Mathematical & Computational Biology) Differential Equations and Mathematical Biology, Second Edition (Chapman & Hall/CRC Mathematical & Computational Biology)
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Book Description

1584882964 978-1584882961 February 26, 2003 1
The conjoining of mathematics and biology has brought about significant advances in both areas, with mathematics providing a tool for modelling and understanding biological phenomena and biology stimulating developments in the theory of nonlinear differential equations. The continued application of mathematics to biology holds great promise and in fact may be the applied mathematics of the 21st century.

Differential Equations and Mathematical Biology provides a detailed treatment of both ordinary and partial differential equations, techniques for their solution, and their use in a variety of biological applications. The presentation includes the fundamental techniques of nonlinear differential equations, bifurcation theory, and the impact of chaos on discrete time biological modelling. The authors provide generous coverage of numerical techniques and address a range of important applications, including heart physiology, nerve pulse transmission, chemical reactions, tumour growth, and epidemics.

This book is the ideal vehicle for introducing the challenges of biology to mathematicians and likewise delivering key mathematical tools to biologists. Carefully designed for such multiple purposes, it serves equally well as a professional reference and as a text for coursework in differential equations, in biological modelling, or in differential equation models of biology for life science students.


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About the Author

D.S. Jones, FRS, FRSE is Professor Emeritus in the Department of Mathematics at the University of Dundee in Scotland.

M.J. Plank is a senior lecturer in the Department of Mathematics and Statistics at the University of Canterbury in Christchurch, New Zealand.

B.D. Sleeman, FRSE is Professor Emeritus in the Department of Applied Mathematics at the University of Leeds in the UK.

--This text refers to an alternate Hardcover edition.

Product Details

  • Hardcover: 408 pages
  • Publisher: Chapman and Hall/CRC; 1 edition (February 26, 2003)
  • Language: English
  • ISBN-10: 1584882964
  • ISBN-13: 978-1584882961
  • Product Dimensions: 9.3 x 6 x 1.1 inches
  • Shipping Weight: 1.6 pounds
  • Amazon Best Sellers Rank: #788,813 in Books (See Top 100 in Books)

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Inside This Book (learn more)
First Sentence:
To indicate why study of differential equations can be useful some simple examples will be considered. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
unique rest state, tumour colony, diffusion driven instability, electrochemical wave, test determinant, unique continuous solution, particular integral, travelling wave solutions, stable node, nerve impulse transmission, stable focus, two arbitrary constants, phase plane analysis, comparison theorem, bifurcation diagram, necrotic core, limit cycle
Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Cambridge University Press, John Wiley, Repeat Exercise
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