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Interviews | November 3, 2009

Sheila A.: IMG On Storytelling: The Powells.com Interview with Donald Miller

2 comments By Sheila A.

donaldmillerDonald Miller is a Christian writer, but the question that Miller asks with his latest memoir, A Million Miles in a Thousand Years, is applicable to... Continue »
  1. $13.99 Sale Hardcover add to wish list

    A Million Miles in a Thousand Years: What I Learned While Editing My Life

    Donald Miller
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Theory of Evolution & Dynamical Systems: Mathematical Aspects of Selection

Synopses & Reviews

Publisher Comments:

This textbook is an introduction to dynamical systems and its applications to evolutionary game theory, mathematical ecology, and population genetics. This first English edition is a translation from the authors' successful German edition which has already made an enormous impact on the teaching and study of mathematical biology. The book's main theme is to discuss the solution of differential equations that arise from examples in evolutionary biology. Topics covered include the Hardy-Weinberg law, the Lotka-Volterra equations for ecological models, genetic evolution, aspects of sociobiology, and mutation and recombination. There are numerous examples and exercises throughout and the reader is led up to some of the most recent developments in the field. Thus the book will make an ideal introduction to the subject for graduate students in mathematics and biology coming to the subject for the first time. Research workers in evolutionary theory will also find much of interest here in the application of powerful mathematical techniques to the subject.
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Table of Contents

Preface; Part I. Selection Dynamics and Population Genetics: A Discrete Introduction: 1. The biological background; 2. The Hardy-Weinberg law; 3. Selection and the fundamental theorem; 4. Mutation and recombination; Part II. Growth Rates and Ecological Models: An ABC on ODE: 5. The ecology of populations; 6. The logistic equation; 7. Lotka-Volterra equations for predator prey-systems; 8. Lotka-Volterra equations for two competing species; 9. Lotka-Volterra equations for more than two populations; Part III. Test Tube Evolution and Hypercycles: A Prebiotic Primer: 10. Prebiotic evolution; 11. Branching processes and the complexity threshold; 12. Catalytic groth f selfreproducing molecules; 13. Permanence and the evolution of hypercycles; Part IV. Strategies and Stability: An Opening in Game Dynamics: 14. Some aspects of sociobiology; 15. Evolutionarily stable strategies; 16. Game dynamics; 17. Asymmetric conflicts; Interlude.

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Product Details

ISBN:
9780521358385
Subtitle:
Mathematical Aspects of Selection
Author:
Hofbauer, Josef
Author:
Sigmund, Karl
Publisher:
Cambridge University Press
Location:
Cambridge England ;
Subject:
Mathematics
Subject:
Evolution
Subject:
Differential Equations
Subject:
Game Theory
Subject:
Differentiable dynamical systems
Subject:
Evolution (Biology)
Subject:
Life Sciences - Evolution
Edition Description:
Bibliography: p. 322-336.
Series:
London Mathematical Society student texts ;
Series Volume:
7
Publication Date:
19881020
Binding:
Hardback
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
Yes
Pages:
352
Dimensions:
8.98x5.98x.89 in. 1.24 lbs.
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