Weierstrass's construction of the irrational numbers

J. Christopher Tweddle

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Weierstrass's construction of the irrational numbers

机译：Weierstrass的无理数的构造

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摘要

We present an overview of the development of the irrational numbers due to Karl Weierstrass. This construction was first presented during lectures in the 1860s in Berlin. Weierstrass never published his construction. Several of his students (Kos-sak, Horwitz, von Dantscher and Pincherle, to name a few) gave accounts in lecture notes from the courses. However, these notes were not published under the direction of Weierstrass.

机译：由于卡尔·维尔斯特拉斯，我们对无理数的发展进行了概述。这种建筑最早是在1860年代在柏林的演讲中提出的。 Weierstrass从未发表过他的作品。他的几个学生（Kos-sak，Horwitz，von Dantscher和Pincherle，仅举几例）在课程的讲义中作了介绍。但是，这些注释并未在Weierstrass的指导下发布。

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来源
《Mathematische Semesterberichte》 |2011年第1期|p.47-58|共12页
作者
J. Christopher Tweddle;
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作者单位

University of Evansville, 1800 Lincoln Ave., Evansville, IN 47722, USA;

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原文格式 PDF
正文语种 eng
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关键词
irrational numbers; real numbers; weierstrass;

机译：无理数;实数;韦斯特拉斯;

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4. An Irrational Construction of R from Z [C] . Rob D. Arthan Theorem Proving in Higher Order Logics . 2001

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7. A new construction of Eisenstein's completion of the Weierstrass zeta function [O] . Rolen, Larry 2015

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Weierstrass's construction of the irrational numbers

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