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:
    title: Continuum Mechanics Through the Eighteenth and Nineteenth Centuries
    sub title: Historical Perspectives from John Bernoulli (1727) to Ernst Hellinger (1914)
  name:
    name part: Maugin, Gérard A.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2014
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XI, 269 p. 27 illus., 5 illus. in color. online resource.
  abstract: Conceived as a series of more or less autonomous essays, the present book critically exposes the initial developments of continuum thermo-mechanics in a post Newtonian period extending from the creative works of the Bernoullis to the First World war, i.e., roughly during first the “Age of reason” and next the “Birth of the modern world”. The emphasis is rightly placed on the original contributions from the “Continental” scientists (the Bernoulli family, Euler, d’Alembert, Lagrange, Cauchy, Piola, Duhamel, Neumann, Clebsch, Kirchhoff, Helmholtz, Saint-Venant, Boussinesq, the Cosserat brothers, Caratheodory) in competition with their British peers (Green, Kelvin, Stokes, Maxwell, Rayleigh, Love,..). It underlines the main breakthroughs as well as the secondary ones. It highlights the role of scientists who left essential prints in this history of scientific ideas. The book shows how the formidable developments that blossomed in the twentieth century (and perused in a previous book of the author in the same Springer Series: “Continuum Mechanics through the Twentieth Century”, Springer 2013) found rich compost in the constructive foundational achievements of the eighteenth and nineteenth centuries. The pre-WWI situation is well summarized by a thorough analysis of treatises (Appell, Hellinger) published at that time. English translations by the author of most critical texts in French or German are given to the benefit of the readers.
  table of contents: 1 General Introduction: About the Contents and Form of this Book -- 2 A Glimpse at the Eighteenth Century: From John Bernoulli to Lagrange -- 3 What Happened on September 30, 1822, and What Were its Implications for the Future of Continuum Mechanics? -- 4 Piola and Kirchhoff: On Changes of Configurations -- 5 Duhamel’s Pioneering Work in Thermo-elasticity and Its Legacy -- 6 From Cauchy to Boussinesq via Barré de Saint-Venant -- 7 Helmholtz Interpreted and Applied by Duhem -- 8 About the Cosserats’ Book of 1909 -- 9 Caratheodory: Thermodynamics and Topology -- 10 On Duhem’s Energetics or General Thermodynamics -- 11 A Course of Continuum Mechanics at the Dawn of the Twentieth Century (Volume III of Appell’s Treatise on Rational Mechanics) -- 12 A Successful Attempt at a Synthetic View of Continuum Mechanics on the Eve of WWI: Hellinger’s Article in the German Encyclopaedia of Mathematics -- 13 Epilogue.- Retrospective: A Gallery of Portraits of the Main Actors. .
  note: by Gérard A. Maugin.
  subject:
    topic: Engineering
  subject:
    topic: History
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: Mechanics
  subject:
    topic: Continuum mechanics
  subject:
    topic: Engineering
  subject:
    topic: Continuum Mechanics and Mechanics of Materials
  subject:
    topic: Analysis
  subject:
    topic: Mechanics
  subject:
    topic: History of Science
  classification: TA405-409.3
  classification: QA808.2
  classification: 620.1
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Solid Mechanics and Its Applications, 214
  identifier: 9783319053745
  identifier: http://dx.doi.org/10.1007/978-3-319-05374-5
  record info:
    record creation date: 140404
    record change date: 20151204164345.0
    record identifier: 978-3-319-05374-5