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Titlebook: Sets and integration An outline of the development; D. Dalen,A. F. Monna Book 1972 Wolters-Noordhoff Publishing, Groningen, The Netherland

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发表于 2025-3-21 18:22:05 | 显示全部楼层 |阅读模式
书目名称Sets and integration An outline of the development
编辑D. Dalen,A. F. Monna
视频video
图书封面Titlebook: Sets and integration An outline of the development;  D. Dalen,A. F. Monna Book 1972 Wolters-Noordhoff Publishing, Groningen, The Netherland
描述The present text resulted from lectures given by the authors at the Rijks Universiteit at Utrecht. These lectures were part of a series on ‘History of Contemporary Mathematics‘. The need for such an enterprise was generally felt, since the curriculum at many universities is designed to suit an efficient treatment of advanced subjects rather than to reflect the development of notions and techniques. As it is very likely that this trend will continue, we decided to offer lectures of a less technical nature to provide students and interested listeners with a survey of the history of topics in our present-day mathematics. We consider it very useful for a mathematician to have an acquaintance with the history of the development of his subject, especially in the nineteenth century where the germs of many of modern disciplines can be found. Our attention has therefore been mainly directed to relatively young developments. In the lectures we tried to stay clear of both oversimplification and extreme technicality. The result is a text, that should not cause difficulties to a reader with a working knowledge of mathematics. The developments sketched in this book are fundamental for many areas
出版日期Book 1972
关键词Cantor; axiom of choice; cardinals; function; mathematics; set theory
版次1
doihttps://doi.org/10.1007/978-94-010-2718-2
isbn_softcover978-94-010-2720-5
isbn_ebook978-94-010-2718-2
copyrightWolters-Noordhoff Publishing, Groningen, The Netherlands 1972
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发表于 2025-3-21 23:02:52 | 显示全部楼层
https://doi.org/10.1007/978-94-010-2718-2Cantor; axiom of choice; cardinals; function; mathematics; set theory
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Set theory from Cantor to Cohen,r subjects. Owing to the explosion in axiomatic set theory, following Cohen’s fundamental papers, we could only superficially touch the recent results. A reader interested in these new methods and results should turn to literature.
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Book 1972 Contemporary Mathematics‘. The need for such an enterprise was generally felt, since the curriculum at many universities is designed to suit an efficient treatment of advanced subjects rather than to reflect the development of notions and techniques. As it is very likely that this trend will contin
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The integral from Riemann to Bourbaki,o pass over the two thousand years before Riemann in which several famous mathematicians studied this notion. By omitting entirely this long period, there would be no opportunity to mention the names of Euclides, Eudoxos, Archimedes, and, centuries later, Leibniz, Newton; without pretending that thi
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Book 1972latively young developments. In the lectures we tried to stay clear of both oversimplification and extreme technicality. The result is a text, that should not cause difficulties to a reader with a working knowledge of mathematics. The developments sketched in this book are fundamental for many areas
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