The Resource A biologist's guide to mathematical modeling in ecology and evolution, Sarah P. Otto and Troy Day
A biologist's guide to mathematical modeling in ecology and evolution, Sarah P. Otto and Troy Day
Resource Information
The item A biologist's guide to mathematical modeling in ecology and evolution, Sarah P. Otto and Troy Day represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item A biologist's guide to mathematical modeling in ecology and evolution, Sarah P. Otto and Troy Day represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.
This item is available to borrow from 1 library branch.
 Summary
 "Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computerbased models as traditional fieldwork. In this book, Sarah Otto and Troy Day provide biology students with the tools necessary to both interpret models and to build their own. The book starts at an elementary level of mathematical modeling, assuming that the reader has had high school mathematics and firstyear calculus. Otto and Day then gradually build in depth and complexity, from classic models in ecology and evolution to more intricate classstructured and probabilistic models. The authors provide primers with instructive exercises to introduce readers to the more advanced subjects of linear algebra and probability theory. Through examples, they describe how models have been used to understand such topics as the spread of HIV, chaos, the age structure of a country, speciation, and extinction. Ecologists and evolutionary biologists today need enough mathematical training to be able to assess the power and limits of biological models and to develop theories and models themselves. This innovative book will be an indispensable guide to the world of mathematical models for the next generation of biologists"Publisher description
 Language
 eng
 Extent
 x, 732 pages
 Contents

 Mathematical modeling in biology
 How to construct a model
 Deriving classic models in ecology and evolutionary biology
 Primer 1: Functions and approximations
 Numerical and graphical techniques
 developing a feeling for your model
 Equilibria and stability analyses
 onevariable models
 General solutions and transformations
 onevariable models
 Primer 2: Linear algebra
 Equilibria and stability analyses
 linear models with multiple variables
 Equilibria and stability analyses
 nonlinear models with multiple variables
 General solutions and tranformations
 models with multiple variables
 Dynamics of classstructured populations
 Techniques for analyzing models with periodic behavior
 Evolutionary invasion analysis
 Primer 3: Probability theory
 Probabilistic models
 Analyzing discrete stochastic models
 Analyzing continuous stochastic models
 diffusion in time and space
 Epilogue: The art of mathematical modeling in biology
 Appendices: 1. Commonly used mathematical rules
 2. Some important rules from calculus
 3. PerronFrobenius theorem
 4. Finding maxima and minima of functions
 5. Momentgenerating functions
 Isbn
 9780691123448
 Label
 A biologist's guide to mathematical modeling in ecology and evolution
 Title
 A biologist's guide to mathematical modeling in ecology and evolution
 Statement of responsibility
 Sarah P. Otto and Troy Day
 Language
 eng
 Summary
 "Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computerbased models as traditional fieldwork. In this book, Sarah Otto and Troy Day provide biology students with the tools necessary to both interpret models and to build their own. The book starts at an elementary level of mathematical modeling, assuming that the reader has had high school mathematics and firstyear calculus. Otto and Day then gradually build in depth and complexity, from classic models in ecology and evolution to more intricate classstructured and probabilistic models. The authors provide primers with instructive exercises to introduce readers to the more advanced subjects of linear algebra and probability theory. Through examples, they describe how models have been used to understand such topics as the spread of HIV, chaos, the age structure of a country, speciation, and extinction. Ecologists and evolutionary biologists today need enough mathematical training to be able to assess the power and limits of biological models and to develop theories and models themselves. This innovative book will be an indispensable guide to the world of mathematical models for the next generation of biologists"Publisher description
 Awards note
 Association of American Publishers PROSE Award, 2007
 Cataloging source
 DLC
 http://library.link/vocab/creatorDate
 1967
 http://library.link/vocab/creatorName
 Otto, Sarah P.
 Illustrations

 illustrations
 maps
 Index
 index present
 LC call number
 QH541.15.M3
 LC item number
 O88 2007
 Literary form
 non fiction
 Nature of contents
 bibliography
 http://library.link/vocab/relatedWorkOrContributorDate
 1968
 http://library.link/vocab/relatedWorkOrContributorName
 Day, Troy
 http://library.link/vocab/subjectName

 Ecology
 Evolution (Biology)
 Ecology
 Evolution (Biology)
 Evolution
 Mathematisches Modell
 Ökologie
 Evolution
 Mathematisches Modell
 Ökologie
 Label
 A biologist's guide to mathematical modeling in ecology and evolution, Sarah P. Otto and Troy Day
 Bibliography note
 Includes bibliographical references and indexes
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Mathematical modeling in biology  How to construct a model  Deriving classic models in ecology and evolutionary biology  Primer 1: Functions and approximations  Numerical and graphical techniques  developing a feeling for your model  Equilibria and stability analyses  onevariable models  General solutions and transformations  onevariable models  Primer 2: Linear algebra  Equilibria and stability analyses  linear models with multiple variables  Equilibria and stability analyses  nonlinear models with multiple variables  General solutions and tranformations  models with multiple variables  Dynamics of classstructured populations  Techniques for analyzing models with periodic behavior  Evolutionary invasion analysis  Primer 3: Probability theory  Probabilistic models  Analyzing discrete stochastic models  Analyzing continuous stochastic models  diffusion in time and space  Epilogue: The art of mathematical modeling in biology  Appendices: 1. Commonly used mathematical rules  2. Some important rules from calculus  3. PerronFrobenius theorem  4. Finding maxima and minima of functions  5. Momentgenerating functions
 Control code
 65065577
 Dimensions
 26 cm
 Extent
 x, 732 pages
 Isbn
 9780691123448
 Lccn
 2006044774
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Other control number
 9780691123448
 Other physical details
 illustrations, map
 Specific material designation
 regular print
 System control number
 (OCoLC)65065577
 Label
 A biologist's guide to mathematical modeling in ecology and evolution, Sarah P. Otto and Troy Day
 Bibliography note
 Includes bibliographical references and indexes
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Mathematical modeling in biology  How to construct a model  Deriving classic models in ecology and evolutionary biology  Primer 1: Functions and approximations  Numerical and graphical techniques  developing a feeling for your model  Equilibria and stability analyses  onevariable models  General solutions and transformations  onevariable models  Primer 2: Linear algebra  Equilibria and stability analyses  linear models with multiple variables  Equilibria and stability analyses  nonlinear models with multiple variables  General solutions and tranformations  models with multiple variables  Dynamics of classstructured populations  Techniques for analyzing models with periodic behavior  Evolutionary invasion analysis  Primer 3: Probability theory  Probabilistic models  Analyzing discrete stochastic models  Analyzing continuous stochastic models  diffusion in time and space  Epilogue: The art of mathematical modeling in biology  Appendices: 1. Commonly used mathematical rules  2. Some important rules from calculus  3. PerronFrobenius theorem  4. Finding maxima and minima of functions  5. Momentgenerating functions
 Control code
 65065577
 Dimensions
 26 cm
 Extent
 x, 732 pages
 Isbn
 9780691123448
 Lccn
 2006044774
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Other control number
 9780691123448
 Other physical details
 illustrations, map
 Specific material designation
 regular print
 System control number
 (OCoLC)65065577
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.sandiego.edu/portal/Abiologistsguidetomathematicalmodelingin/BZQZwRKzjwc/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.sandiego.edu/portal/Abiologistsguidetomathematicalmodelingin/BZQZwRKzjwc/">A biologist's guide to mathematical modeling in ecology and evolution, Sarah P. Otto and Troy Day</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.sandiego.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.sandiego.edu/">University of San Diego Libraries</a></span></span></span></span></div>