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It has been known from very ancient times that the length of the diagonal of a unit square is not a rational number. There were no specific mathematicians who "discovered" real numbers. Furthermore, all mathematicians of any significance, contributed to our understanding of real numbers.

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Q: Who were the mathematicians who contributed to the discovery of real numbers?
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How did imaginary numbers get their name?

Rene Descartes came up with the word imaginary in 1637 to describe them. It was a derogatory term. He (and many other mathematicians of that age) did not like imaginary numbers. Many people didn't believe in them, because they were not real.


Why was complex numbers discovered?

They were discovered when Cardano solved the third degree equation. In the formulas that arose to solve the third degree equation, Cardano needed to take the square root of negative numbers and add them up in a certain way. The strange thing that happened was that the formulas used these complex numbers, even if the solutions to the equation where all real. This baffled the mathematicians of the time, because how could these strange numbers turn out to be "real"? Later this was considered totally correct, when the field of complex numbers was better undestood.


Are real numbers a subset of natural numbers?

No because natural numbers are a subset of real numbers


What are the real numbers that is not a whole number?

Real numbers are all numbers which do not contain "i", when "i" represents the square root of -1. All numbers which do contain "i" are "imaginary numbers" and are not real numbers. This means that all numbers you'd ordinarily use are real numbers - all the counting numbers (integers) and all decimals are real numbers. So in answer to your question, all the real numbers that are not whole numbers are all the decimal numbers - including irrational decimals such as pi.


Are integers real numbers?

yesYes, integers are real numbers.

Related questions

Who were the mathematicians who contributed to the study of real numbers?

Probably all mathematicians, from very ancient times.


Are all numbers real numbers?

There are mathematical concepts that mathematicians call "imaginary numbers" these are a multiple of the square root of minus 1. Infinity is not a real number either.


Who were the Mathematicians in the field of real numbers and polynomials write about them?

"http://wiki.answers.com/Q/Who_were_the_Mathematicians_in_the_field_of_real_numbers_and_polynomials_write_about_them"


Who are the mathematicians worked on only real numbers?

luogeng hua in china, he is the most famous mathmathis


Who discovered real numbers?

Real numbers are not a single discovery, made at a certain moment by a single person. Check the Wikipedia article on "Real numbers", section "History", for some of the key events related to real numbers.


What will be the solution of root of -1?

There is no real number whose square root can be negative so there is no real solution. So mathematicians invented the imaginary number i with the property that i*i = -1 i is fundamental to complex numbers.


What is the important of the real number in your daily life?

In real life one can do very well with nothing but rational numbers. Real numbers that are not rational can be approximated with whatever degree of accuracy is needed, which is exactly what computers and calculators do . Real numbers are essential to mathematical theory but unless you are a mathematician or need to understand higher mathematics in a rigorous way, you can do very well with only a vague , intuitive understanding of real numbers. In fact, it was not until 1870 ,or so, that mathematicians devised a satisfactory definition of real numbers.


What year did Fibonacci make his Fibonacci numbers?

The Fibonacci sequence is named after Italian mathematician Leonardo of Pisa, known as Fibonacci. His 1202 book Liber Abaci introduced the sequence to Western European mathematics, although the sequence had been described earlier as Virahankanumbers in Indian mathematics.


How did imaginary numbers get their name?

Rene Descartes came up with the word imaginary in 1637 to describe them. It was a derogatory term. He (and many other mathematicians of that age) did not like imaginary numbers. Many people didn't believe in them, because they were not real.


Why are imaginary numbers used in electronic systems control systems and physics?

Mathematics is beautiful in itself. Back in the 1700s and later, mathematicians studied "imaginary" numbers (numbers that involve a factor of the square root of -1) knowing that they didn't describe anything "real", the way "real numbers" do. But when beauty can be melded to practicality, things get REALLY interesting. It turns out that you can use imaginary numbers and "complex numbers" (which have a "real" component and an "imaginary" component) to describe the way radiation and electromagnetic fields behave.


0 and 1 are not prime numbers but apparently they have their own special names what are they?

They both considered "identity elements". 0 is actually the identity element under addition for the real numbers, since if a is any real number, a + 0 = 0 + a = a. Mathematicians refers to 0 as the additive identity (or better said, the reflexive identity of addition). 1 is a separate and special entity called 'Unity' or 'Identity element'. 1 is actually the identity element under multiplication for the real numbers, since a x 1 = 1 x a = a. Mathematicians refers to 1 as the multiplicative identity (or better said, the reflex identity of multiplication).


Who uses prime factorization in real life?

Mathematicians and magicians and pediatricians and magipeditricians