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| Title Details: | |
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Riemann integrals |
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| Authors: |
Papadimitrakis, Michail |
| Reviewer: |
Sarantopoulos, Ioannis |
| Subject: | MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > REAL FUNCTIONS |
| Description: | |
| Abstract: |
Partitions of an interval. Upper and lower Darboux sums. Upper and lower integrals. The Riemann integral – the definition of Darboux. Criterion of integrability. Integrability of continuous and of monotonic functions. Properties of integrals. Mean value of a function. Riemann sums. The Riemann integral – the definition of Riemann. Equivalence of the definitions of Darboux and Riemann. Examples of calculation of integrals using Riemann sums (powers, exponential, trigonometric functions).
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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/11419/2896 |
| Bibliographic Reference: | Papadimitrakis, M. (2015). Riemann integrals [Chapter]. In Papadimitrakis, M. 2015. Analysis [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/2896 |
| Language: |
Greek |
| Is Part of: |
Analysis |
| Publication Origin: |
Kallipos, Open Academic Editions |