Continuum Mechanics Through the Eighteenth and Nineteenth Centuries Historical Perspectives from John Bernoulli (1727) to Ernst Hellinger (1914) /

Detalles Bibliográficos
Autor Principal: Maugin, Gerard A.
Formato: Libro
Lengua:inglés
Datos de publicación: Cham : Springer International Publishing : Imprint: Springer, 2014.
Series:Solid Mechanics and Its Applications, 214
Temas:
Engineering.
History.
Mathematical analysis.
Analysis (Mathematics).
Mechanics.
Continuum Mechanics and Mechanics of Materials.
History of Science.
Acceso en línea:http://dx.doi.org/10.1007/978-3-319-05374-5
Resumen: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 â_oAge of reasonâ__ and next the â_oBirth of the modern worldâ__. The emphasis is rightly placed on the original contributions from the â_oContinentalâ__ scientists (the Bernoulli family, Euler, dâ_TAlembert, 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: â_oContinuum Mechanics through the Twentieth Centuryâ__, 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.
Descripción Física:xi, 269 p. : il.
ISBN:9783319053745
ISSN:0925-0042 ;
DOI:10.1007/978-3-319-05374-5
Tabla de Contenidos:
  • 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 Duhamelâ_Ts 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 Cosseratsâ_T Book of 1909
  • 9 Caratheodory: Thermodynamics and Topology
  • 10 On Duhemâ_Ts Energetics or General Thermodynamics
  • 11 A Course of Continuum Mechanics at the Dawn of the Twentieth Century (Volume III of Appellâ_Ts Treatise on Rational Mechanics)
  • 12 A Successful Attempt at a Synthetic View of Continuum Mechanics on the Eve of WWI: Hellingerâ_Ts Article in the German Encyclopaedia of Mathematics
  • 13 Epilogue.- Retrospective: A Gallery of Portraits of the Main Actors.    .

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