LEADER 04748nam 22007215 450 001 9910299736103321 005 20230703194602.0 010 $a3-319-05374-4 024 7 $a10.1007/978-3-319-05374-5 035 $a(CKB)2560000000148879 035 $a(EBL)1698354 035 $a(OCoLC)876902446 035 $a(SSID)ssj0001204856 035 $a(PQKBManifestationID)11668880 035 $a(PQKBTitleCode)TC0001204856 035 $a(PQKBWorkID)11180537 035 $a(PQKB)11175109 035 $a(MiAaPQ)EBC1698354 035 $a(DE-He213)978-3-319-05374-5 035 $a(PPN)178320595 035 $a(EXLCZ)992560000000148879 100 $a20140404d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aContinuum Mechanics Through the Eighteenth and Nineteenth Centuries $eHistorical Perspectives from John Bernoulli (1727) to Ernst Hellinger (1914) /$fby Gérard A. Maugin 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (275 p.) 225 1 $aSolid Mechanics and Its Applications,$x2214-7764 ;$v214 300 $aDescription based upon print version of record. 311 $a3-319-05373-6 327 $a1 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.    . 330 $aConceived as a series of more or less autonomous essays, the present book critically exposes the initial developments of continuum thermo-mechanics in a post Newtonian period extending from the creative works of the Bernoullis to the First World war, i.e., roughly during first the ?Age of reason? and next the ?Birth of the modern world?. The emphasis is rightly placed on the original contributions from the ?Continental? scientists (the Bernoulli family, Euler, d?Alembert, Lagrange, Cauchy, Piola, Duhamel, Neumann, Clebsch, Kirchhoff, Helmholtz, Saint-Venant, Boussinesq, the Cosserat brothers, Caratheodory) in competition with their British peers (Green, Kelvin, Stokes, Maxwell, Rayleigh, Love,..). It underlines the main breakthroughs as well as the secondary ones. It highlights the role of scientists who left essential prints in this history of scientific ideas. The book shows how the formidable developments that blossomed in the twentieth century (and perused in a previous book of the author in the same Springer Series: ?Continuum Mechanics through the Twentieth Century?, Springer 2013) found rich compost in the constructive foundational achievements of the eighteenth and nineteenth centuries. The pre-WWI situation is well summarized by a thorough analysis of treatises (Appell, Hellinger) published at that time. English translations by the author of most critical texts in French or German are given to the benefit of the readers. 410 0$aSolid Mechanics and Its Applications,$x2214-7764 ;$v214 606 $aMechanics, Applied 606 $aSolids 606 $aMathematical analysis 606 $aMechanics 606 $aScience?History 606 $aSolid Mechanics 606 $aAnalysis 606 $aClassical Mechanics 606 $aHistory of Science 615 0$aMechanics, Applied. 615 0$aSolids. 615 0$aMathematical analysis. 615 0$aMechanics. 615 0$aScience?History. 615 14$aSolid Mechanics. 615 24$aAnalysis. 615 24$aClassical Mechanics. 615 24$aHistory of Science. 676 $a530.14 676 $a531 676 $a531.09033 700 $aMaugin$b Gérard A$4aut$4http://id.loc.gov/vocabulary/relators/aut$031842 906 $aBOOK 912 $a9910299736103321 996 $aContinuum Mechanics Through the Eighteenth and Nineteenth Centuries$92215541 997 $aUNINA