rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    non sort: A
    title: Short History of Mathematical Population Dynamics
  name:
    name part: Bacaër, Nicolas.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxk
    date issued: 2011
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 160 p. 60 illus. online resource.
  abstract: 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. .
  table of contents: 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.
  note: by Nicolas Bacaër.
  subject:
    topic: Mathematics
  subject:
    topic: History
  subject:
    topic: Biomathematics
  subject:
    topic: Popular works
  subject:
    topic: Mathematics
  subject:
    topic: History of Mathematical Sciences
  subject:
    topic: Genetics and Population Dynamics
  subject:
    topic: Mathematical and Computational Biology
  subject:
    topic: Popular Science, general
  classification: QA21-27
  classification: 510.9
  related item:
    title info:
      title: Springer eBooks
  identifier: 9780857291158
  identifier: http://dx.doi.org/10.1007/978-0-85729-115-8
  record info:
    record creation date: 110201
    record change date: 20151204140807.0
    record identifier: 978-0-85729-115-8