Wokół liczb i szeregów harmonicznych
Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia (2015)
- Volume: 7, page 99-109
- ISSN: 2080-9751
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topDamian Wiśniewski. "Wokół liczb i szeregów harmonicznych." Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia 7 (2015): 99-109. <http://eudml.org/doc/296403>.
@article{DamianWiśniewski2015,
abstract = {The harmonic series is one of the most celebrated infinite series ofmathematics. From a pedagogical point of view, the harmonic series providesa wealth of opportunities. Applications such as Gabriel’s wedding cake andEuler’s proof of the divergence of prime numbers can lead to some verynice discussions. The main idea of this article is to survey some of unusual,insightful and inspiring divergence proofs. First of all, this article is addressedat first-year calculus students.},
author = {Damian Wiśniewski},
journal = {Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia},
keywords = {harmonic numbers; harmonic series; divergence},
language = {pol},
pages = {99-109},
title = {Wokół liczb i szeregów harmonicznych},
url = {http://eudml.org/doc/296403},
volume = {7},
year = {2015},
}
TY - JOUR
AU - Damian Wiśniewski
TI - Wokół liczb i szeregów harmonicznych
JO - Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia
PY - 2015
VL - 7
SP - 99
EP - 109
AB - The harmonic series is one of the most celebrated infinite series ofmathematics. From a pedagogical point of view, the harmonic series providesa wealth of opportunities. Applications such as Gabriel’s wedding cake andEuler’s proof of the divergence of prime numbers can lead to some verynice discussions. The main idea of this article is to survey some of unusual,insightful and inspiring divergence proofs. First of all, this article is addressedat first-year calculus students.
LA - pol
KW - harmonic numbers; harmonic series; divergence
UR - http://eudml.org/doc/296403
ER -
References
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