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Mathematical Methods of Population Biology (Cambridge Studies in Mathematical Biology)
 
 
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Mathematical Methods of Population Biology (Cambridge Studies in Mathematical Biology) [Paperback]

Frank C. Hoppensteadt (Author)

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Book Description

052128256X 978-0521282567 February 26, 1982
This introduction to mathematical methods that are useful for studying population phenomena is intended for advanced undergraduate and graduate students, and will be accessible to scientists who do not have a strong mathematics background. The material is graded in mathematical difficulty. The earlier parts of the book involve elementary diference equations while later chapters present topics that require more mathematical preparation. Models of total population and population age structure are first derived and studied, and then models of random population events are presented in terms of Markov chains. The last two chapters deal with mathematical methods used to uncover qualitative behaviour of more complicated difference equations. Each chapter begins with a simple model, usually of some historical interest, that defines the primary goals of the chapter. Exercises, for which solutions are provided, illustrate material in the text and also deal with models more advanced than those derived and studied in the text.

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Editorial Reviews

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"What makes for a good mathematics textbook? Challenging, didactic exercises with hints and solutions are a sine qua non: without them you might have a good monograph, but not a good text. Score several points for Hoppensteadt's book, with its meaty exercises...I would recommend the book for a senior or graduate-level course...also valuable as a sourcebook of ideas for applied mathematicians who want to get into this branch of mathematical biology." Mathematical Biosciences

Book Description

An introduction to mathematical methods used in the study of population phenomena including models of total population and population age structure, models of random population events presented in terms of Markov chains, and methods used to uncover qualitative behavior of more complicated difference equations.

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Inside This Book (learn more)
First Sentence:
Many insects hatch from eggs, mature, reproduce as mature adults, and then die. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
heteroplasmid cells, nth reproduction, nth census, geometric iteration, reproduction curve, gamete pool, renewal equation, reproduction time, biological yield, nth generation
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Monte Carlo
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