ERIC Number: EJ770336
Record Type: Journal
Publication Date: 2002-Mar
Pages: 6
Abstractor: Author
ISBN: N/A
ISSN: ISSN-0020-739X
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Conditional Convergence of Numerical Series
Gomez, E.; Plaza, A.
International Journal of Mathematical Education in Science and Technology, v33 n2 p267-272 Mar 2002
One of the most astonishing properties when studying numerical series is that the sum is not commutative, that is the sum may change when the order of its elements is altered. In this note an example is given of such a series. A well-known mathematical proof is given and a MATLAB[C] program used for different rearrangements of the series converging to different numbers. It is noted that the code follows the mathematical idea of the proof of the property. Developing programs showing the main ideas in the proofs of the theorems may be a good tool in the understanding of such theorems and proofs. (Contains 4 tables.)
Descriptors: Mathematical Logic, Validity, Intervals, Mathematics, Mathematical Concepts, Programming Languages
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
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Language: English
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