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However, according to Boyer, and supported by the wikipedia entry for Simon Stevin, I believe your claim that Stevin dealt with "all" real numbers, "(rational, surd, etc.)", is an overreach. Quoting Boyer : Viète, ... , in 1579 had urged the replacement of sexagesimal fractions by decimal fractions.

Abstract. We explore the potential of Simon Stevin’s numbers, obscured by shifting foundational biases and by 19th century de-velopments in the arithmetisation of analysis. Contents 1. From discrete arithmetic to arithmetic of the continuum 1 2. Stevin’s construction of the real numbers 2 3. A Stevin-Cauchy proof of the intermediate value ...

In the 16th century, Simon Stevin initiated a modern approach to decimal representation of measuring numbers, marking a transition from the discrete arithmetic practised by the Greeks to the arithmetic of the continuum taken for granted today. However, how to perform arithmetic directly on infinite decimals remains a long-standing problem, which has seen the popular degeometrisation of real ...

Simon Stevin (1548 – 1620) was Flemish mathematician and engineer. He was one of the first people to use and write about decimal fractions, and made many other contributions to science and engineering. ... This shows how you can write rational numbers of the form 2 n, where n is an odd number, as sums of unit fractions. The papyrus is named ...

It seems surprising today but that rational numbers have decimal expansions that terminate or repeat, and that irrational numbers have non-terminating and non-repeating expansions are two distinct problems. ... Simon Stevin understood this at the end of the 16th century in his work L'Arithmetique, where unending decimals are first spoken of ...

STEVIN used a special notation for decimal numbers so that people could get used to the meaning of decimals; later he simplified it: For example, he noted the number 184.5429 as 184 5 4 2 9 ; here the circled numbers indicate the corresponding powers of one-tenth.

Thus, Stevin explicitly states that numbers that are not rational have equal rights of citizenship with those that are. According to van der Waerden, Stevin’s. ... [77] Stevin, Simon: The principal works of Simon Stevin. Vols. IIA, IIB: Mathematics. Edited by D. J. Struik C. V. Swets & Zeitlinger, Amsterdam 1958. Vol.

By the end of the sixteenth century, Simon Stevin (1548{1620, [26], see also [15, 19, 20]) had essentially achieved the modern concept of real numbers. Promoting the systematic use of decimal notations in daily computations [27], his work marks a transition from the discrete arithmetic practiced by the Greeks

Simon Stevin (1548 – 1620) was a Flemish-Dutch engineer and mathematician, who was the first to write rational numbers as decimal fractions. He was also the first to decompose forces by using geometric drawings that are equivalent to what we now call "the parallelogram of forces" (see vector addition) and he performed experiments that refuted Aristotle's law of free fall—he did this a ...

Until the seventeenth century, rational numbers were represented as fractions. It was starting from that century, thanks to Simon Stevin, that for all practical purposes the use of decimal notation became widespread. Although decimal numbers are widely used, their organic development is lacking, while a vast literature propagates misconceptions about them, among both students and teachers.

Biography Simon Stevin's father was Anthuenis (Anton) Stevin who, it is believed, was a cadet son of a mayor of Veurne. His mother was Cathelijne (or Catelyne) van der Poort who was the daughter of a burgher family of Ypres. Anthuenis and Cathelijne were not married but Simon's mother Cathelijne later married a man who was involved in selling carpets and in the silk trade.

Historically speaking, the positive real numbers certainly came earlier. They were introduced already by Simon Stevin many decades before the work of Leibniz and Newton. Stevin popularized the approach of representing each number (rational or not) by an unending decimal. This is of course also a rigorous approach to the reals.

Every rational number is either a finite decimal or an infinitely repeating decimal. Because a finite decimal such as 0.25 can be thought of as having an infinitely repeating 0 and can be written as ,the following statement is true: A number is a rational number if and only if it can be written as an infinitely repeating decimal. 0.250 1 0.16 6 ...

After a review of basic set theory and countability, there is a discussion of Simon Stevin’s method for the construction of real numbers. This approach fits in well with the methods used in chapter “Basic Properties of Real Numbers, Sequences and Continuous Functions” for the proof of foundational results on bounded sets of real numbers and continuous functions.

ABSTRACT: Until the seventeenth century, rational numbers were represented as fractions. It was starting from that century, thanks to Simon Stevin, that for all practical purposes the use of decimal notation became widespread. Although decimal numbers are widely used, their organic development is

In the 16th century, Simon Stevin initiated a modern approach to decimal representation of measuring numbers, marking a transition from the discrete arithmetic practised by the Greeks to the ...

We explore the potential of Simon Stevin’s numbers, obscured by shifting foundational biases and by 19th century developments in the arithmetisation ... (1981) Intermolecular forces of infinite range and the Boltzmann equation. Archive for Rational Mechanics and Analysis 77(1): 11–21. Article Google Scholar Arkeryd L. (2005) Nonstandard ...

Stevin's proposal was to represent every number (whether rational or irrational) by an unending decimal; see this publication for more details. Until the middle of the 19th century, the dominant view was to stay away from (what mathematicians thought were contradictory) "infinite wholes" as Leibniz called them; Cauchy expressed similar sentiments.

An french engineer, Simon Stevin of Bruges (1548 - 1620), introduced the repeating decimal numbers as popular numerals to represent the rational numbers in applied math. Let's use base 3 Stevin style numerals to represent rationals, with a twist. A bracket is used to indicate an infinite number of digits repeating that bracketed value.

Bulletin of the Belgian Mathematical Society - Simon Stevin. In this paper, we give computational examples of string operations over the rational numbers field on Gorenstein spaces introduced by Félix and Thomas. Especially, we determine the structure of rational string operations on the classifying space of a compact connected Lie group and ...