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Titlebook: Mathematical Geography in the Eighteenth Century: Euler, Lagrange and Lambert; Renzo Caddeo,Athanase Papadopoulos Book 2022 The Editor(s)

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发表于 2025-3-21 18:24:27 | 显示全部楼层 |阅读模式
书目名称Mathematical Geography in the Eighteenth Century: Euler, Lagrange and Lambert
编辑Renzo Caddeo,Athanase Papadopoulos
视频video
概述Features faithful and commented translations of Euler, Lagrange and Lambert’s works on mathematical geography.Describes the problems of cartography and their impact on the differential geometry of sur
图书封面Titlebook: Mathematical Geography in the Eighteenth Century: Euler, Lagrange and Lambert;  Renzo Caddeo,Athanase Papadopoulos Book 2022 The Editor(s)
描述.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a major impact on the development of the differential geometry of surfaces and they deserve to be studied, not only as historical documents, but most of all as a rich source of ideas..
出版日期Book 2022
关键词Mathematical geography; cartography; map drawing; geometry; angle-preserving map; projection of the spher
版次1
doihttps://doi.org/10.1007/978-3-031-09570-2
isbn_softcover978-3-031-09572-6
isbn_ebook978-3-031-09570-2
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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发表于 2025-3-21 23:54:37 | 显示全部楼层
Euler, Delisle and Cartography). Delisle, who played an important role in Euler’s involvement in geography and astronomy, introduced a method for drawing geographical maps which was used in the two atlases published under Euler’s direction. This led Euler to write a memoir in which he worked out the mathematical theory that underlies Delisle’s method.
发表于 2025-3-22 00:43:02 | 显示全部楼层
Lambert’s Work on Geographic Map Projectionsondition with fundamental differential equations and found interesting examples. He also indicated an extension of those differential equations and constructions to maps of a spheroidally shaped Earth. Lambert gave impulses that inspired e.g. Euler and Lagrange to investigate these issues further.
发表于 2025-3-22 04:49:54 | 显示全部楼层
Euler and Maupertuis on the Figure of the Earthsaying on the contrary that the Earth has the form of a spheroid flattened at the poles and elongated at the equator. Our ultimate goal is to show the impact of this question on mathematics, and in particular on the differential geometry of surfaces, first in the work of Euler, and then, in the works of later mathematicians.
发表于 2025-3-22 10:06:03 | 显示全部楼层
Ancient Geography: Some Markerss. We bring out the notion of . geographical map, in relation with Ptolemy’s concept of .. We end this chapter with a few words on the Renaissance, a period where most of the oldest maps that survive were drawn.
发表于 2025-3-22 15:29:25 | 显示全部楼层
On the Construction of Geographical Mapsactor of an angle-preserving geographical map, which allows him to address in precise terms the question of finding maps of least distorsion. He gives a formula for this factor in special cases, in particular for maps which send meridians and parallels to circles or straight lines.
发表于 2025-3-22 19:12:17 | 显示全部楼层
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..978-3-031-09572-6978-3-031-09570-2
发表于 2025-3-22 21:42:41 | 显示全部楼层
ography and their impact on the differential geometry of sur.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
发表于 2025-3-23 03:23:22 | 显示全部楼层
Book 2022anatory 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..
发表于 2025-3-23 07:33:32 | 显示全部楼层
https://doi.org/10.1007/978-3-031-09570-2Mathematical geography; cartography; map drawing; geometry; angle-preserving map; projection of the spher
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