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# nùmeros reales

## English translation: Real numbers

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 21:39 Sep 23, 2002
Spanish to English translations [Non-PRO]
Tech/Engineering - Mathematics & Statistics / Mathmatics
 Spanish term or phrase: nùmeros reales Continuo con la traducciòn de un manual de anàlisis matemàtico y àlgebra, sòlo que ahora tambièn se han agregado algunos conceptos de geometrìa y agrologìa.
 English translation:Real numbers Explanation:Real numbers
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1964
Turkey
Local time: 00:44
 Thank you very much Tayfus!!!!4 KudoZ points were awarded for this answer

5 +6Real numbers
 1964
5real numbers
 Maria Luisa Duarte

1 min   confidence: peer agreement (net): +6
Real numbers

Explanation:
Real numbers

 1964TurkeyLocal time: 00:44Works in fieldNative speaker of: Turkish
 Thank you very much Tayfus!!!!

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4 mins   confidence:
real numbers

Explanation:
What are the "real numbers," really?

The short, simple answer used in calculus courses is that a real number is a point on the number line. That's not the whole truth, but it is adequate for the needs of freshman calculus. The freshman calculus course (at most universities nowadays) follows the 17th century style of Newton and Leibniz, emphasizing computations and omitting many proofs. The omitted proofs depend on a careful explanation of what the "real numbers" really are. That explanation and those proofs were not discovered until the 19th century, after Newton and Leibniz were long dead.

A proper explanation of the real numbers nowadays is covered, if at all, in a course in "real analysis" in the junior or senior year of students who are majoring in mathematics. Surprisingly few students take such a course; perhaps that's because it is too algebraic for the analysts' taste and too analytic to please the algebraists.

Reference: http://www.math.vanderbilt.edu/~schectex/courses/thereals/
 Maria Luisa DuarteSpainLocal time: 23:44Native speaker of: English, PortuguesePRO pts in category: 4