{"title":"JEAN PRESTET:解方程的代数和组合学","authors":"Katia Asselah","doi":"10.1400/171693","DOIUrl":null,"url":null,"abstract":"This article is dedicated to the algebraic theory of equations, presented by Jean Prestet in the two editions of his Elemens de mathematiques. Jean Prestet develops there an innovative idea: the association of algebra and combinatorial analysis; he underlines the novelty of his approach by registering his resolution of equations in a new way: the «voie mixte». This mixed way, he tells us, rests on the two already existing ways: the analytical way (the algebra for Jean Prestet) and the synthetic way (illustrated by the combinatorial analysis in Elemens de mathematiques).","PeriodicalId":55343,"journal":{"name":"Bollettino di Storia delle Scienze Matematiche","volume":"31 1","pages":"9-34"},"PeriodicalIF":0.2000,"publicationDate":"2011-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"JEAN PRESTET: ALGÈBRE ET COMBINATOIRE DANS LA RÉSOLUTION DES ÉQUATIONS\",\"authors\":\"Katia Asselah\",\"doi\":\"10.1400/171693\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This article is dedicated to the algebraic theory of equations, presented by Jean Prestet in the two editions of his Elemens de mathematiques. Jean Prestet develops there an innovative idea: the association of algebra and combinatorial analysis; he underlines the novelty of his approach by registering his resolution of equations in a new way: the «voie mixte». This mixed way, he tells us, rests on the two already existing ways: the analytical way (the algebra for Jean Prestet) and the synthetic way (illustrated by the combinatorial analysis in Elemens de mathematiques).\",\"PeriodicalId\":55343,\"journal\":{\"name\":\"Bollettino di Storia delle Scienze Matematiche\",\"volume\":\"31 1\",\"pages\":\"9-34\"},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2011-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bollettino di Storia delle Scienze Matematiche\",\"FirstCategoryId\":\"98\",\"ListUrlMain\":\"https://doi.org/10.1400/171693\",\"RegionNum\":4,\"RegionCategory\":\"哲学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"HISTORY & PHILOSOPHY OF SCIENCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bollettino di Storia delle Scienze Matematiche","FirstCategoryId":"98","ListUrlMain":"https://doi.org/10.1400/171693","RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"HISTORY & PHILOSOPHY OF SCIENCE","Score":null,"Total":0}
JEAN PRESTET: ALGÈBRE ET COMBINATOIRE DANS LA RÉSOLUTION DES ÉQUATIONS
This article is dedicated to the algebraic theory of equations, presented by Jean Prestet in the two editions of his Elemens de mathematiques. Jean Prestet develops there an innovative idea: the association of algebra and combinatorial analysis; he underlines the novelty of his approach by registering his resolution of equations in a new way: the «voie mixte». This mixed way, he tells us, rests on the two already existing ways: the analytical way (the algebra for Jean Prestet) and the synthetic way (illustrated by the combinatorial analysis in Elemens de mathematiques).