A Short History of Mathematical Population Dynamics (Record no. 105133)

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001 - CONTROL NUMBER
control field 978-0-85729-115-8
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780857291158
-- 978-0-85729-115-8
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-0-85729-115-8
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA21-27
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBX
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT015000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 510.9
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Bacaër, Nicolas.
Relator term author.
245 12 - TITLE STATEMENT
Title A Short History of Mathematical Population Dynamics
Medium [electronic resource] /
Statement of responsibility, etc by Nicolas Bacaër.
264 #1 -
-- London :
-- Springer London,
-- 2011.
300 ## - PHYSICAL DESCRIPTION
Extent X, 158p. 60 illus.
Other physical details online resource.
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-- computer
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-- online resource
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-- text file
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505 0# - FORMATTED CONTENTS NOTE
Formatted contents note The Fibonacci sequence (1202) -- Halley’s life table (1693) -- Euler and the geometric growth of populations (1748–1761) -- Daniel Bernoulli, d’Alembert and the inoculation of smallpox (1760) -- Malthus and the obstacles to geometric growth (1798) -- Verhulst and the logistic equation (1838) -- Bienaymé, Cournot and the extinction of family names (1845–1847) -- Mendel and heredity (1865) -- Galton, Watson and the extinction problem (1873–1875) -- Lotka and stable population theory (1907–1911) -- The Hardy–Weinberg law (1908) -- Ross and malaria (1911) -- Lotka, Volterra and the predator–prey system (1920–1926) -- Fisher and natural selection (1922) -- Yule and evolution (1924) -- McKendrick and Kermack on epidemic modelling (1926–1927) -- Haldane and mutations (1927) -- Erlang and Steffensen on the extinction problem (1929–1933) -- Wright and random genetic drift (1931) -- The diffusion of genes (1937) -- 21 The Leslie matrix (1945) -- 22 Percolation and epidemics (1957) -- 23 Game theory and evolution (1973) -- 24 Chaotic populations (1974) -- 25 China’s one-child policy (1980) -- 26 Some contemporary problems.
520 ## - SUMMARY, ETC.
Summary, etc

As Eugene Wigner stressed, mathematics has proven unreasonably effective in the physical sciences and their technological applications. The role of mathematics in the biological, medical and social sciences has been much more modest but has recently grown thanks to the simulation capacity offered by modern computers.

This book traces the history of population dynamics---a theoretical subject closely connected to  genetics, ecology, epidemiology and demography---where mathematics has brought significant insights. It presents an overview of the genesis of several important themes: exponential growth, from Euler and Malthus to the Chinese one-child policy; the development of stochastic models, from Mendel's laws and the question of extinction of family names to  percolation theory for the spread of epidemics, and chaotic populations, where determinism and randomness intertwine.

The reader of this book will see, from a different perspective, the problems that scientists face when  governments ask for reliable predictions to help control epidemics (AIDS, SARS, swine flu), manage renewable resources (fishing quotas, spread of genetically modified organisms) or anticipate demographic evolutions such as aging.

650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Genetics
General subdivision Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Biology
General subdivision Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics_$xHistory.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element History of Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Genetics and Population Dynamics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical Biology in General.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Popular Science in Mathematics/Computer Science/Natural Science/Technology.
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Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9780857291141
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-0-85729-115-8
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