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| Title Details: | |
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Continuous functions |
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| Authors: |
Papadimitrakis, Michail |
| Reviewer: |
Sarantopoulos, Ioannis |
| Subject: | MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > REAL FUNCTIONS |
| Description: | |
| Abstract: |
Continuity of a function at a point of its domain of definition. Basic properties of continuity. Characterization of continuity by means of sequences.The three basic theorems: of the boundedness of a continuous function, of the existence of maximum and minimum values of a continuous function, of the intermediate values of a continuous function. The theorem of Bolzano. The range of a continuous function. (In particular: of a continuous and monotonic function.) Continuity of the inverse of a continuous function. Various examples (e.g. inverse trigonometric functions). Uniform continuity.
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| Type: |
Chapter |
| Creation Date: | 2015 |
| Item Details: | |
| License: |
http://creativecommons.org/licenses/by-nc-nd/3.0/gr |
| Handle | http://hdl.handle.net/11419/2894 |
| Bibliographic Reference: | Papadimitrakis, M. (2015). Continuous functions [Chapter]. In Papadimitrakis, M. 2015. Analysis [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/2894 |
| Language: |
Greek |
| Is Part of: |
Analysis |
| Publication Origin: |
Kallipos, Open Academic Editions |