Spherical Geometry in the Eighteenth Century I: Euler, Lagrange and Lambert
暫譯: 十八世紀的球面幾何 I:歐拉、拉格朗日與蘭伯特

Caddeo, Renzo, Papadopoulos, Athanase

  • 出版商: Springer
  • 出版日期: 2026-07-17
  • 售價: $4,590
  • 貴賓價: 9.5$4,360
  • 語言: 英文
  • 頁數: 442
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3032124654
  • ISBN-13: 9783032124654
  • 相關分類: 數學
  • 海外代購書籍(需單獨結帳)

商品描述

This volume is the first English edition, with commentaries and introductory material, of the writings on spherical geometry by Leonhard Euler, Joseph-Louis Lagrange and Johann Heinrich Lambert. The book is divided into two parts. The first part contains essays related the works by Euler, Lagrange and Lambert on spherical geometry. The goal of these essays is to include these works in the appropriate mathematical, historical and philosophical contexts. The second part of the volume is devoted to the English translations of the original memoirs, originally written in Latin, French and German. These translations are new and they are done by mathematicians who are involved in the subjects of the memoirs. Footnotes by the editors and the translators are appended to the translations. The book is addressed to students and researchers in geometry. It constitutes an invaluable reference in mathematics, and also in the history and philosophy of mathematics.

商品描述(中文翻譯)

本卷為第一版英文版,包含對於球面幾何的著作,作者為萊昂哈德·歐拉(Leonhard Euler)、約瑟夫-路易·拉格朗日(Joseph-Louis Lagrange)和約翰·海因里希·蘭伯特(Johann Heinrich Lambert)的評論和導言材料。本書分為兩部分。第一部分包含與歐拉、拉格朗日和蘭伯特在球面幾何方面的作品相關的論文。這些論文的目標是將這些作品納入適當的數學、歷史和哲學背景中。第二部分則專門用於原始論文的英文翻譯,這些論文最初是用拉丁文、法文和德文撰寫的。這些翻譯是全新的,並由參與該論文主題的數學家完成。編輯和翻譯者的註腳附在翻譯後面。本書針對幾何學的學生和研究人員,並且是數學以及數學歷史和哲學方面的寶貴參考資料。

作者簡介

Renzo Caddeo, born in Sardinia, 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 studied in Romania and France. 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 collaborated with Alfred Gray to realize the extended Italian version of the book Modern Differential Geometry of Curves and Surfaces and with Athanase Papadopoulos on the two-volume work Leonhard Euler, Écrits Sur la Musique and the book Christiaan Huygens, Écrits Sur la Musique et le Son. 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 (1984-1985 and 1993-1894), USC (1998-1999), CUNY (Ada Peluso Professor, 2014), Brown University (Distinguished visiting professor, 2017), Tsinghua University, Beijing (2018), and the State University of Saint Petersburg (as the Lamé Chair) (2019), and has had several 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) and Banaras Hindu University. He is the author of more than 220 published articles and 50 monographs and edited books.

作者簡介(中文翻譯)

Renzo Caddeo,出生於撒丁島,是一位退休的幾何學教授,曾任卡利亞里大學數學系主任,並組織了一個專門針對數學物件可視化的碩士課程。在卡利亞里任教之前,他曾在羅馬尼亞和法國學習。他的研究興趣在於微分幾何,特別是黎曼流形之間的雙調映射以及某些顯著三維空間的曲面。他與Alfred Gray合作實現了《現代曲線與曲面的微分幾何》一書的擴展意大利版,並與Athanase Papadopoulos合作編寫了兩卷本的《萊昂哈德·歐拉,音樂著作》和《克里斯蒂安·惠更斯,音樂與聲音著作》。Athanase Papadopoulos(生於1957年)是法國國家科學研究中心的研究主任。他的主要研究領域包括幾何學和拓撲學、數學的歷史與哲學,以及數學與音樂。他曾在普林斯頓高等研究院(1984-1985年和1993-1994年)、南加州大學(1998-1999年)、城市大學(Ada Peluso教授,2014年)、布朗大學(特聘訪問教授,2017年)、北京清華大學(2018年)和聖彼得堡國立大學(作為Lamé講座教授)(2019年)擔任訪問職位,並多次長期訪問馬克斯·普朗克數學研究所(波恩)、厄爾文·薛丁格研究所(維也納)、城市大學研究生中心(紐約)、塔塔研究所(孟買)、加拉塔薩雷大學(伊斯坦堡)、佛羅倫斯大學(意大利)、復旦大學(上海)、學習院大學(東京)、總統大學(加爾各答)和瓦納拉斯印度大學。他是220多篇已發表文章和50本專著及編輯書籍的作者。