The Dialectic Relation Between Physics and Mathematics in the XIXth Century

Evelyne Barbin (France, 1949), full professor of epistemology, history of science and technology at the University of Nantes. Her research concerns mainly: history of mathematics in 17th century (the emergence of infinitesimal calculus; relations between physics, technics and mathematics); the meaning of mathematical proof in history, research on mathematics and the sciences in the 19th century (the contrast between synthetic and analytic geometry; the heritage of Monge and Carnot in France; discourses on science and discourses on sciences in the 19th century), history of algorithms and machines, relations between history and teaching. She is author of about 100 papers and 20 edited books. Recent books: La révolution mathématique du XVIIe siècle, Paris: Ellipses, 2006; Sciences et arts visuels. Représentations du corps et matériaux de l’art (ed. E. Barbin, D. Le Nen,), Paris: Vuibert, 2009; 1867 L’année de tous les Rapports. Les lettres et les sciences à la fin du Second Empire (ed. E. Barbin, J.-L. Godet, G. Stenger), Pornic: Éditions du Temps, 2009; Gabriel Lamé. Les pérégrinations d’un ingénieur du XIXe siècle (ed. E. Barbin) Paris: Sabix, École Polytechnique, 2009. De grands défis mathématiques d’Euclide à Condorcet (ed. E. Barbin), Paris:Vuibert, 2010.     Raffaele Pisano (Italy, 1970), lauream in physics (University of Naples “Federico II”), specialized in teaching both physics and mathematics  (University of Naples “Federico II”), and a Ph.D. (University of Rome “La Sapienza”). He was temporary professor of history of physics at (SSIS, University of Udine) and since 2006 he is currently Member of steering committee of European Society for the History of Science. He recently edited: Scienze e Religioni. Il ruolo delle scienze naturali, ipotesi di studio e prospettive (Uniservice editore, 2008, withRafael Pascual), Qual è il ruolo culturale ed interdisciplinare delle scienze fisiche e matematiche? Ipotesi e prospettive, (2010. Laveglia, Salerno); Da Archimede a Majorana: La fisica nel suo divenire. Atti del XXVI Congresso SISFA, (Guaraldi, 2009, with Giannetto E., Giannini G. and Capecchi D.). He published papers for international and national reviews on history of physics, mathematics and their historical foundations. Recent books: Scienza e tecnica nell’architettura del Rinascimento, (Cisu, 2010, with Danilo Capecchi). Lazare and Sadi Carnot. A scientific and Filial relationship, (Springer, 2012,with Charles C Gillispie). Currently he is Research Fellow at Centre François Viète, Université de Nantes, France.

Foreword.-  Mathematical Physics In Italy In The XIX Century: The Theory Of Elasticity, by Danilo Capecchi.-  The Construction Of Group Theory In Crystallography, by Maitte Bernard.-  Historical Reflections On The Physics Mathematics Relationship In Electromagnetic Theory, by Raffaele Pisano.-   The Interaction Of Physics, Mechanics And Mathematics In Joseph Liouville’s Research, by Jesper Lützen.-  Mathematical Physics In The Style Of Gabriel Lamé And The Treatise Of Emile Mathieu, by Évelyne Barbin And René Guitart.-  The Emergence Of Mathematical Physics At The University Of Leipzig, by Karl–Heinz Schlote.-  On Boundaries Of The Language Of Physics, by Ladislav Kvasz.-  The Relationship Between Physics And Mathematics In The XIX Century. The Ignored Birth Of A Foundational Pluralism, by Antonino Drago.-  Analytical Index.