Adobe PDF
(297.61 kB)
| Title Details: | |
|
The real numbers |
|
| Authors: |
Papadimitrakis, Michail |
| Reviewer: |
Sarantopoulos, Ioannis |
| Subject: | MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > REAL FUNCTIONS |
| Description: | |
| Abstract: |
The set of real numbers (Here it is taken for granted. Its axiomatic foundation is in the last chapter). Plus and minus infinity. Sets which are bounded above and below. Supremum and infimum. The set of natural numbers is not bounded above. The Archimedean property. Integral part. The density of rational numbers. Roots. The density of irrational numbers. Powers with rational and irrational exponents. Logarithms. Rigorous proofs of all properties.
|
| Type: |
Chapter |
| Creation Date: | 2015 |
| Item Details: | |
| License: |
http://creativecommons.org/licenses/by-nc-nd/3.0/gr |
| Handle | http://hdl.handle.net/11419/2891 |
| Bibliographic Reference: | Papadimitrakis, M. (2015). The real numbers [Chapter]. In Papadimitrakis, M. 2015. Analysis [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/2891 |
| Language: |
Greek |
| Is Part of: |
Analysis |
| Publication Origin: |
Kallipos, Open Academic Editions |