{"title":"黎曼积分","authors":"","doi":"10.2307/j.ctv14163vk.11","DOIUrl":null,"url":null,"abstract":"The Riemann integral is a fundamental part of calculus and an essential precursor to the Lebesgue integral. In this chapter we define the Riemann integral of a bounded function on an interval I = [a, b] on the real line.","PeriodicalId":438476,"journal":{"name":"Honors Calculus","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Riemann Integral\",\"authors\":\"\",\"doi\":\"10.2307/j.ctv14163vk.11\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The Riemann integral is a fundamental part of calculus and an essential precursor to the Lebesgue integral. In this chapter we define the Riemann integral of a bounded function on an interval I = [a, b] on the real line.\",\"PeriodicalId\":438476,\"journal\":{\"name\":\"Honors Calculus\",\"volume\":\"10 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Honors Calculus\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2307/j.ctv14163vk.11\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Honors Calculus","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2307/j.ctv14163vk.11","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Riemann integral is a fundamental part of calculus and an essential precursor to the Lebesgue integral. In this chapter we define the Riemann integral of a bounded function on an interval I = [a, b] on the real line.
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