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Elemente der Mathematik

Elemente der Mathematik Volume 76 (2021)
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Issue 1 _
Front matter
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Article A colouring problem for the dodecahedral graph
1
Article Special orthagonal integer bases and representations by sums of squares
10
Article Lügner und die Gruppe (Z₂)n
17
Article Infinitude of primes: Euclid‘s proof using angles between lattice vectors
28
Article Maclaurin series integration
33
Article A proof of the fundamental theorem of algebra using Hurwitz‘s theorem
38
Rubric Aufgaben
40
Back matter
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Issue 2 _
Front matter
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Article On the maximum area of inscribed polygons
45
Article On the symmetry of finite sums of exponentials
62
Article A short synthetic proof of Thébault's theorem
74
Article Mollweide's formula and circumcevians of the incenter
78
Rubric Aufgaben
82
Book review Rezensionen
87
Back matter
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Issue 3 _
Front matter
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Article A natural construction for the real numbers
89
Article Two remarkable triangles of a triangle and their circumcircles
106
Article A matrix viewpoint for various algebraic extensions
115
Rubric Aufgaben
132
Back matter
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Issue 4 _
Front matter
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Article Symmedian and isodynamic points relations
137
Article Holes in lace doilies : the geometric kernel of circulant graphs
154
Article Schröder's processes and the best ways of increasing order of Newton's method
165
Article Factorization of Delannoy matrices
178
Rubric Aufgaben
182
Book review Rezensionen
186
Table of Contents
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Back matter
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