In the following, we will introduce continued fractions, which will help us to find a representation of real numbers, which is independent of any basis and with the help of which we will be able to reveal the structure of a given real number.
1 This is only a formal definition, since the question, whether an infinite continued fraction is convergent, is not answered yet.
| | | | | created: 2019-05-11 08:28:24 | modified: 2019-07-14 10:34:59 | by: bookofproofs | references: , 
 Kraetzel, E.: “Studienbücherei Zahlentheorie”, VEB Deutscher Verlag der Wissenschaften, 1981
 Schnorr, C.P.: “Lecture Notes Diskrete Mathematik”, Goethe University Frankfurt, 2001