Differential Equations and Mathematical Biology

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9781584882961: Differential Equations and Mathematical Biology
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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.

Review:

A strength of [this book] is its concise coverage of a broad range of topics. ... It is truly remarkable how much material is squeezed into the slim book's 400 pages.
- SIAM Review, Vol. 46, No. 1

It is remarkable that without the classical scheme (definition, theorem and proof) it is possible to explain rather deep results like properties of the Fitz-Hugh-Nagumo model ... or the Turing model ... . This feature makes the reading of this text pleasant business for mathematicians. ... [This book] can be recommended for students of mathematics who like to see applications, because it introduces them to problems on how to model processes in biology, and also for theoretical oriented students of biology, because it presents constructions of mathematical models and the steps needed for their investigations in a clear way and without references to other books.
- EMS Newsletter

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Other Popular Editions of the Same Title

9781420083576: Differential Equations and Mathematical Biology (Chapman & Hall/CRC Mathematical and Computational Biology)

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ISBN 10:  1420083570 ISBN 13:  9781420083576
Publisher: Chapman and Hall/CRC, 2009
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9789401159722: Differential Equations and Mathematical Biology

Springer, 2012
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9780045150014: Differential Equations and Mathematical Biology

Springer, 1983
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