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What hinders and what supports the learning of mathematics. (Was behindert und was fördert das Erlernen von Mathematik?) (German)
Paravicini, Walther (ed.) et al., Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2014. Beiträge zum gleichnamigen Symposium am 7. und 8. November 2014 an der Westfälischen Wilhelms-Universität Münster. Münster: WTM-Verlag (ISBN 978-3-942197-99-1/pbk+ebook). Schriften zur Hochschuldidaktik Mathematik 2, 253-270 (2016).
Classification: D10 A30
1
Paul Cohen ‒ axiom of choice and continuum hypothesis. (Paul Cohen ‒ Auswahlaxiom und Kontinuumshypothese.) (German)
Wurzel 50, No. 6, 118-121 (2016).
Classification: A30 E60 F30 F50
2
A first course in mathematical logic and set theory. (English)
Hoboken, NJ: John Wiley \& Sons (ISBN 978-0-470-90588-3/hbk; 978-1-118-54801-1/ebook). xix, 443~p. (2016).
Classification: E35 E65 Reviewer: Jānis Cīrulis (Riga)
3
Finite mathematics. Models and applications. (English)
Hoboken, NJ: John Wiley \& Sons (ISBN 978-1-119-01550-5/hbk; 978-1-119-01559-8/ebook; 978-1-119-01553-6/set). xvi, 518~p. (2016).
Classification: M15 I25 H35 H65 K65 K55 K45 M35 N65 Reviewer: Răzvan Răducanu (Iaşi)
4
Students’ difficulties with definitions in the context of proofs in elementary set theory. (English)
Afr. J. Res. Math. Sci. Technol. Educ. 20, No. 1, 80-90 (2016).
Classification: D70 E40 E50 E60
5
Analysis zero. (English)
Kilcock: Logic Press (ISBN 978-1-326-41433-7/hbk; 978-1-326-41581-5/pbk). vi, 153~p. (2015).
Classification: I15 E65 Reviewer: Mauro Garcia Pupo (Bogota)
6
About the teaching of set theory: institutional choices relatively to the transition high school/university in Tunisia. (À propos de l’enseignement de la théorie des ensembles: les choix institutionnels dans la transition secondaire/supérieur en Tunisie.) (French. English summary, Spanish summary)
Rech. Didact. Math. 35, No. 2, 141-182 (2015).
Classification: E64 E65
7
Logic, mathematics, and computer science. Modern foundations with practical applications. 2nd edition, originally published under the title Foundations of logic and mathematics. Applications to computer science and cryptography. (English)
New York, NY: Springer (ISBN 978-1-4939-3222-1/hbk; 978-1-4939-3223-8/ebook). xii, 391~p. (2015).
Classification: E35 E65 E55 M45 M55 Reviewer: Merlin Carl (Konstanz)
8
Serre \& Grothendieck. (Serre \& Grothendieck.) (German)
Wurzel 49, No. 12, 258-263 (2015).
Classification: A30 H70 I90
9
How to act? A question of encapsulating infinity. (English. French summary)
Can. J. Sci. Math. Technol. Educ. 14, No. 1, 1-22 (2014).
Classification: E60
10
Did you know it? What is a reduction? (Hättest Du es gewusst? Was ist eine Reduktion?) (German)
Monoid 34, No. 120, 14-18 (2014).
Classification: F60 H30 K50
11
Proof by picture: a selection of nice picture proofs. (English)
Parabola 50, No. 3, 5-15 (2014).
Classification: E50 K20 G40 E60
12
Counterexamples to Cantor-Schroeder-Bernstein. (English)
Math. Enthus. 11, No. 3, 475-484 (2014).
Classification: E65 I95 K35 H45
13
Learning mathematics via primary historical sources: straight from the source’s mouth. (English)
PRIMUS, Probl. Resour. Issues Math. Undergrad. Stud. 24, No. 8, 722-736 (2014).
Classification: D35 D45 A30 E65 H55 H45
14
Roads to infinity. The mathematics of truth and proof. Transl. from the English by Roland Girgensohn. (Wahrheit, Beweis, Unendlichkeit. Eine mathematische Reise zu den vielseitigen Auswirkungen der Unendlichkeit.) (German)
Heidelberg: Springer Spektrum (ISBN 978-3-642-37843-0/pbk; 978-3-642-37844-7/ebook). xii, 236~p. (2014).
Classification: E35 E65
15
Are all infinities created equal? (English)
Math. Teach. (Reston) 107, No. 2, 98-103 (2013).
Classification: E60 A30
16
Mathematical foundations for computer science. Sets, logic, recursion. (Mathematische Grundlagen für die Informatik. Mengen, Logik, Rekursion.) (German)
Springer-Lehrbuch. Wiesbaden: Springer Vieweg (ISBN 978-3-658-03078-0/pbk; 978-3-658-03079-7/ebook). x, 222~p. (2013).
Classification: E35 E65 P25 Reviewer: Klaus D. Kiermeier (Berlin)
17
The real numbers. An introduction to set theory and analysis. (English)
Undergraduate Texts in Mathematics. Cham: Springer (ISBN 978-3-319-01576-7/hbk; 978-3-319-01577-4/ebook). xvi, 244~p. (2013).
Classification: I15 E65 Reviewer: Vladimír Janiš (Banská Bystrica)
18
Engeneering mathematics for first year students. Formulas, exercises, solutions. (Ingenieurmathematik für Studienanfänger. Formeln, Aufgaben, Lösungen.) 3rd revised and extended ed. (German)
Wiesbaden: Springer Vieweg (ISBN 978-3-658-00572-6/pbk; 978-3-658-00573-3/ebook). 265~p. (2013).
Classification: H65 Reviewer: Eduard Kostolansky (Bratislava)
19
Mathematical creativity, Cohen forcing, and evolving systems: elements for a case study on Paul Cohen. (English)
J. Math. Educ. Teach. Coll. 4, No. 2, 50-59 (2013).
Classification: E50 A30 E20
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