{"title":"Algebra","authors":"A. Rice","doi":"10.1093/oso/9780198817000.003.0003","DOIUrl":null,"url":null,"abstract":"This chapter is concerned with a single textbook written by Dodgson in 1867—An Elementary Treatise on Determinants. His book concerned the study of determinants, an algebraic construct that had come to the fore during the 19th century, and presented a new method, called the method of condensation, for evaluating them; this method was due to Dodgson and was the subject of his only refereed journal paper. The book also applied his results to the solution of simultaneous linear equations, and included the proof of a theorem describing when a system of linear equations is consistent. The book’s impact and influence are discussed in the concluding section of this chapter.","PeriodicalId":269174,"journal":{"name":"The Mathematical World of Charles L. Dodgson (Lewis Carroll)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2019-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Mathematical World of Charles L. Dodgson (Lewis Carroll)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1093/oso/9780198817000.003.0003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract

This chapter is concerned with a single textbook written by Dodgson in 1867—An Elementary Treatise on Determinants. His book concerned the study of determinants, an algebraic construct that had come to the fore during the 19th century, and presented a new method, called the method of condensation, for evaluating them; this method was due to Dodgson and was the subject of his only refereed journal paper. The book also applied his results to the solution of simultaneous linear equations, and included the proof of a theorem describing when a system of linear equations is consistent. The book’s impact and influence are discussed in the concluding section of this chapter.
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本章关注的是道奇森在1867年写的一本教科书——《行列式初论》。他的书涉及行列式的研究,这是一种在19世纪崭露头角的代数结构,并提出了一种新的计算行列式的方法,称为凝聚法;这种方法是道奇森发明的,也是他唯一一篇被评审的期刊论文的主题。这本书还将他的结果应用于解联立线性方程,并包括一个定理的证明,该定理描述了当一个线性方程组是一致的。本书的影响和影响将在本章的结论部分进行讨论。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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Logic Mathematical legacy Voting Recreational mathematics Algebra
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