Mathematical Geography in the Eighteenth Century: Euler, Lagrange and Lambert

ISBN-13: 9783031095696 / Angielski / Twarda / 2022 / 428 str.

Renzo Caddeo; Athanase Papadopoulos

Opis

This volume presents the beautiful memoirs of Euler, Lagrange and Lambert on geography, translated into English and put into perspective through explanatory and historical essays as well as commentaries and mathematical notes. These works had a major impact on the development of the differential geometry of surfaces and they deserve to be studied, not only as historical documents, but most of all as a rich source of ideas.

Spis treści

Part 1: Essays.- 1 Renzo Caddeo and Athanase Papadopoulos, Introduction.- 2 Athanase Papadopoulos, Ancient geography: some markers.- 3 Athanase Papadopoulos, Euler and Maupertuis on the figure of the Earth.- 4 Charalampos Charitos, On the duration of the passage of a star from an almucantar to another.- 5 Charalampos Charitos, The differential equations in Euler’s work on geography.- 6 Athanase Papadopoulos, Euler, Delisle and cartography.- 7 Charalampos Charitos and Athanase Papadopoulos, On Delisle’s geographical projection.- 8 Charalampos Charitos, Lagrange’s method for the construction of geographical maps.- 9 Athanase Papadopoulos, Some notes on the impact of Lagrange’s memoir On the construction of geographical maps.- 10 Annette A’Campo-Neuen, Lambert’s work on geographic map projections.- Part II: Sources.- 11 Vincent Alberge and Athanase Papadopoulos, Elements of spheroidal trigonometry drawn from the method of maxima and minima. Leonhard Euler.- 12 Renzo Caddeo, On the representation of the spherical surface on the plane. Leonhard Euler.- 13 Renzo Caddeo, On the geographical projection of the surface of the sphere. Leonhard Euler.- 14 Renzo Caddeo, On Delisle’s geographical projection used for a general map of the Russian Empire. Leonhard Euler.- 15 Vincent Alberge and Athanase Papadopoulos, On the construction of geographical maps. Joseph-Louis Lagrange.- 16 Annette A’Campo-Neuen, Notes and comments on the composition of terrestrial and celestial maps. Johann Heinrich Lambert.

O autorze

Renzo Caddeo (born 1946) is a retired professor of geometry and former director of the Department of Mathematics at the University of Cagliari, where he was the organizer of a Masters course dedicated to the visualization of mathematical objects. Before teaching at Cagliari, he has been a research fellow at the University of Bucharest and at the Université de Haute-Alsace, Mulhouse (France). He has held visiting positions at the University of Maryland, at the Katholieke Universiteit Leuven (Belgium), at the Universidad del Pais Vasco (Bilbao) and at the Geometry Center of the University of Minnesota (Minneapolis). His research interests are in differential geometry, in particular in biharmonic maps between Riemannian manifolds and in the surfaces of certain remarkable three-dimensional spaces. He is the author of about 50 articles and of two books, and editor of proceedings of international workshops.

Athanase Papadopoulos (born 1957) is Directeur de Recherche at the French Centre National de la Recherche Scientifique. His main fields of interest are geometry and topology, the history and philosophy of mathematics, and mathematics and music. He has held visiting positions at the Institute for Advanced Study, Princeton (1984–85 and 1993–94), USC (1998–1999), CUNY (Ada Peluso Professor, 2014), Brown University (Distinguished visiting professor, 2017), Tsinghua University, Beijing (2018), the State University of Saint Petersburg (as the Lamé Chair) (2019), and has had several month-long visits to the Max-Plank Institute for mathematics (Bonn), the Erwin Schrödinger Institute (Vienna), the Graduate Center of CUNY (New York), the Tata Institute (Bombay), Galatasaray University (Istanbul), the University of Florence (Italy), Fudan University (Shanghai), Gakushuin University (Tokyo) and Presidency University (Calcutta). He is the author of more than 200 published articles and 35 monographs and edited books.