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Other titles in the Springer Undergraduate Mathematics series:
Essential Mathematical Biology (Springer Undergraduate Mathematics Series)by Nicholas F. Britton
Synopses & Reviews
Essential Mathematical Biology is a self-contained introduction to the fast-growing field of mathematical biology. Written for students with a mathematical background, it sets the subject in its historical context and then guides the reader towards questions of current research interest, providing a comprehensive overview of the field and a solid foundation for interdisciplinary research in the biological sciences. A broad range of topics is covered including: Population dynamics, Infectious diseases, Population genetics and evolution, Dispersal, Molecular and cellular biology, Pattern formation, and Cancer modelling. This book will appeal to 3rd and 4th year undergraduate students studying mathematical biology. A background in calculus and differential equations is assumed, although the main results required are collected in the appendices. A dedicated website at www.springer.co.uk/britton/ accompanies the book and provides further exercises, more detailed solutions to exercises in the book, and links to other useful sites.
Aimed primarily at 3rd and 4th year undergraduate students in mathematicsithis text covers classical material but gives pointers to cutting-edge research. A website with solutions and additional material provides support and a first point of reference for new developments in Mathematical Biology.
This self-contained introduction to the fast-growing field of Mathematical Biology is written for students with a mathematical background. It sets the subject in a historical context and guides the reader towards questions of current research interest. A broad range of topics is covered including: Population dynamics, Infectious diseases, Population genetics and evolution, Dispersal, Molecular and cellular biology, Pattern formation, and Cancer modelling. Particular attention is paid to situations where the simple assumptions of homogenity made in early models break down and the process of mathematical modelling is seen in action.
Includes bibliographical references (p. 253-256) and index.
Table of Contents
Single Species Population Dynamics.- Population Dynamics of Interacting Species.- Infectious Diseases.- Population Genetics and Evolution.- Biological Motion.- Molecular and Cellular Biology.- Pattern Formation.- Tumour Modelling.- Further Reading.- Some Techniques for Difference Equations.- Some Techniques for Ordinary Differential Equations.- Some Techniques for Partial Differential Equations.- Non-negative Matrices.- Hints for Exercises.- Index.
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