The Theoretical Biologist's Toolbox: Quantitative Methods for Ecology and Evolutionary Biology

by Marc Mangel

• ISBN13: 9780521537483
• ISBN10: 0521537487
• Format: Paperback
• Copyright: 2006-08-07
• Publisher: Cambridge University Press

Summary

Mathematical modelling is widely used in ecology and evolutionary biology and it is a topic that many biologists find difficult to grasp. In this new textbook Marc Mangel provides a no-nonsense introduction to the skills needed to understand the principles of theoretical and mathematical biology. Fundamental theories and applications are introduced using numerous examples from current biological research, complete with illustrations to highlight key points. Exercises are also included throughout the text to show how theory can be applied and to test knowledge gained so far. Suitable for advanced undergraduate courses in theoretical and mathematical biology, this book forms an essential resource for anyone wanting to gain an understanding of theoretical ecology and evolution.

Table of Contents

Preface	ix
Permissions	xiii
Four examples and a metaphor	1	(19)
Topics from ordinary and partial differential equations	20	(60)
Probability and some statistics	80	(53)
The evolutionary ecology of parasitoids	133	(35)
The population biology of disease	168	(42)
An introduction to some of the problems of sustainable fisheries	210	(38)
The basics of stochastic population dynamics	248	(37)
Applications of stochastic population dynamics to ecology, evolution, and biodemography	285	(38)
References	323	(46)
Index	369