Phylogenetics

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Oxford University Press, 2003 - Mathematics - 239 pages
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Phylogenetics' is the reconstruction and analysis of phylogenetic (evolutionary) trees and networks based on inherited characteristics. It is a flourishing area of intereaction between mathematics, statistics, computer science and biology. The main role of phylogenetic techniques lies in evolutionary biology, where it is used to infer historical relationships between species. However, the methods are also relevant to a diverse range of fields including epidemiology, ecology, medicine,as well as linguistics and cognitive psychology This graduate-level book, based on the authors lectures at The University of Canterbury, New Zealand, focuses on the mathematical aspects of phylogenetics. It brings together the central results of the field (providing proofs of the main theorem), outlines their biological significance,and indicates how algorithms may be derived. The presentation is self-contained and relies on discrete mathematics with some probability theory. A set of exercises and at least one specialist topic ends each chapter. This book is intended for biologists interested in the mathematical theory behind phylogenetic methods, and for mathematicians, statisticians, and computer scientists eager to learn about this emerging area of discrete mathematics. 'Phylogenetics' in the 24th volume in the Oxford Lecture Series in Mathematics and its Applications. This series contains short books suitable for graduate students and researchers who want a well-writtenaccount of mathematics that is fundamental to current to research. The series emphasises future directions of research and focuses on genuine applications of mathematics to finance, engineering and the physical and biological sciences.
  

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Contents

Preliminaries
1
Trees and splits
43
Compatibility of characters
65
Maximum parsimony
84
Subtrees and supertrees
110
Treebased metrics
145
Markov models on trees
183
References
218
Commonly used symbols
231
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About the author (2003)

Charles Semple and Mike Steele are both in the Department of Mathematics and Statistics, University of Canterbury; Allan Wilson Centre for Molecular Ecology and Evolution, New Zealand.

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