数学的遗产

F. Abeles
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引用次数: 2

摘要

本章重新审视道奇森生前的成就,以及其中一些成就如何在20世纪重新浮出水面。这一章分为几个主题领域:几何(包括他对欧几里得平行公设的替代版本)、三角学(他为此设计了一套新的符号)、代数(他对行列式的研究)、逻辑(巴特利和其他人的研究导致了对道奇森参与的重大重新评估)、投票理论(他与许多高级政治家接触)和概率论,并以一节关于密码和密码学的内容结束。自20世纪25年代以来,学者们对道奇森严肃的数学工作越来越感兴趣,特别是随着他的作品越来越多地发表。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Mathematical legacy
This chapter re-examines Dodgson’s achievements during his lifetime, and how some of them resurfaced in the 20th century. The chapter is divided into subject areas: geometry (including his alternative version of Euclid’s parallel postulate), trigonometry (for which he devised a new set of symbols), algebra (his work on determinants), logic (where the work of Bartley and others has led to a significant re-evaluation of Dodgson’s involvement), voting theory (on which he was in contact with a number of senior politicians), and probability, and concludes with a section on ciphers and cryptology. There has been a growing interest by scholars in Dodgson’s serious mathematical work since the third quarter of the 20th century, particularly as more of it has been published.
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