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Discrete algebraic methods. Arithmetic, cryptography, automata and groups. (English)
De Gruyter Textbook. Berlin: De Gruyter (ISBN 978-3-11-041332-8/pbk; 978-3-11-041333-5/ebook). xii, 342~p. (2016).
Classification: P15 H45 F65 Reviewer: Panayiotis Vlamos (Athena)
1
Integer solutions of binomial coefficients. (English)
Math. Teach. (Reston) 109, No. 6, 472-475 (2016).
Classification: K20 F60
2
Elementary reflections on the Collatz problem. (Elementare Überlegungen zum Collatz-Problem.) (German)
MNU J. 69, No. 5, 312-317 (2016).
Classification: F64 I34
3
Variations of a charming Putnam problem. (English)
Math. Spectr. 48, No. 3, 100-104 (2016).
Classification: F60
4
Making averages whole. (English)
Math. Spectr. 48, No. 3, 98-99 (2016).
Classification: F60 H30
5
The secret life of $1/n$: a journey far beyond the decimal point. (English)
Math. Enthus. 13, No. 3, 189-216 (2016).
Classification: F60 F40
6
An algebraic expedition into the Markov problem. (Eine algebraische Expedition in das Markow-Problem.) (German)
Monoid 36, Spec. Iss., 38-44 (2016).
Classification: F60 H30
7
Chains of prime numbers and the conjecture of Hardy and Littlewood. (Primzahlketten und die Vermutung von Hardy und Littlewood.) (German)
Monoid 36, Spec. Iss., 8-13 (2016).
Classification: F60
8
An arithmetic-algebraic work space for the promotion of arithmetic and algebraic thinking: triangular numbers. (English)
ZDM, Math. Educ. 48, No. 6, 775-791 (2016).
Classification: F60 H20 D20
9
Power patterns: extending number sense through last digit investigations. (English)
Aust. Prim. Math. Classr. 21, No. 1, 29-33 (2016).
Classification: F30 F60 D80
10
Definitions and their application in writing proofs on divisibility of integers. (English)
Far East J. Math. Educ. 16, No. 1, 111-133 (2016).
Classification: E50 F60 D70
11
Single digits. In praise of small numbers. Translated from the English by Michael Basler. (Von Eins bis Neun ‒ Große Wunder hinter kleinen Zahlen. Über 100 mathematische Exkursionen für Neugierige und Genießer.) (German)
Berlin: Springer (ISBN 978-3-662-50250-1/pbk; 978-3-662-50251-8/ebook). xi, 234~p. (2016).
Classification: A80 F60
12
Ada Lovelace and the Bernoulli numbers. (Ada Lovelace und die Bernoulli-Zahlen.) (German)
Log In 36, No. 183-184, 19-26 (2016).
Classification: A30 F60 P20
13
Rithmomachy ‒ making playful calculations as in the Middle Ages. (Rithmomachie ‒ spielend rechnen wie im Mittelalter.) (German)
Mathematikunterricht 62, No. 2, 5-21 (2016).
Classification: U63 A30 F60 F90
14
Encoding and decoding messages. A cryptology project arouses interest, improves learning strategies, yields to mathematically gifted action. (Ver- und Entschlüsseln von Botschaften. Ein Kryptologie-Projekt weckt Interesse, fördert Lernstrategien, bietet mathematisch begabtem Handeln Raum.) (German)
Math. Lehren 33, No. 195, 13-19 (2016).
Classification: P20 F60 D80
15
Finding sums for an infinite class of convergent series. (English)
Int. J. Math. Educ. Sci. Technol. 47, No. 4, 649-651 (2016).
Classification: I30 F60
16
A note on powers in finite fields. (English)
Int. J. Math. Educ. Sci. Technol. 47, No. 6, 987-991 (2016).
Classification: H40 F60
17
On Euclid’s prime number theorem. (Zu Euklids Primzahlsatz.) (German)
MNU J. 69, No. 3, 157-158 (2016).
Classification: F63 A33
18
How Wallis came to his product. (Hoe Wallis aan zijn product kwam.) (Dutch)
Euclides 91, No. 6, 7-11 (2016).
Classification: F60 F50
19
The Lucas $p$-triangle. (English)
Int. J. Math. Educ. Sci. Technol. 47, No. 5, 797-803 (2016).
Classification: F60
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