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Conceptualization of the continuum, an educational challenge for undergraduate students. (English)
Int. J. Res. Undergrad. Math. Educ. 2, No. 3, 338-361 (2016).
Classification: F55 E65 C35
1
Principles of mathematics. A primer. (English)
Hoboken, NJ: John Wiley \& Sons (ISBN 978-1-119-13164-9/hbk; 978-1-119-13169-4/ebook). xiii, 654~p. (2016).
Classification: E35 E45 H65 H45 I25 H35 E65 Reviewer: Stephan Rosebrock (Karlsruhe)
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
Workbook mathematics. Problems, hints, solutions. (Arbeitsbuch Mathematik. Aufgaben, Hinweise, Lösungen und Lösungswege.) 3rd edition. (German)
Berlin: Springer Spektrum (ISBN 978-3-642-54947-2/pbk; 978-3-642-54948-9/ebook). xii, 441~p. (2016).
Classification: U45 E35 E65 I15 H65 G75 N65 K15
4
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)
5
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
6
Another proof that the real numbers $\mathbb{R}$ are uncountable. (English)
Am. Math. Mon. 122, No. 6, 596-597 (2015).
Classification: 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
The axiom of choice, well-ordering, and well-classification. (English)
Am. Math. Mon. 122, No. 1, 56-59 (2015).
Classification: E65
9
Mathematics. An introduction for practitioners. (Mathematik. Eine Einführung für Praktiker.) (German)
De Gruyter Studium. Berlin: De Gruyter/Oldenbourg (ISBN 978-3-11-037511-4/pbk; 978-3-11-037513-8/ebook). xii, 332~p. (2015).
Classification: I15 H65 F15 E65 K15
10
Mathematics. (Mathematik.) 3rd edition. (German)
Heidelberg: Springer Spektrum (ISBN 978-3-642-44918-5/hbk; 978-3-642-44919-2/ebook). xxiv, 1630~p. (2015).
Classification: E35 E65 I15 H65 G75 N65 K15
11
Introduction to mathematical logic. 6th ed. (English)
Textbooks in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-4822-3772-6/hbk; 978-1-4822-3780-1/ebook). xxiv, 489~p. (2015).
Classification: E35 E65
12
Mathematics for beginners. Preliminary and preparatory course for the university start. (Mathematik für Einsteiger. Vor- und Brückenkurs zum Studienbeginn.) 5th ed. (German)
Berlin: Springer Spektrum (ISBN 978-3-662-45387-2/pbk; 978-3-662-45388-9/ebook). xii, 377~p. (2015).
Classification: E35 E65 F15 I15 H15
13
Preparatory course in mathematics for minor subject students. Mathematical basic knowledge for starting to study as a non-mathematician. (Vorkurs Mathematik für Nebenfachstudierende. Mathematisches Grundwissen für den Einstieg ins Studium als Nicht-Mathematiker.) (German)
Heidelberg: Springer Spektrum (ISBN 978-3-658-06595-9/pbk; 978-3-658-06596-6/ebook). xiii, 189~p. (2015).
Classification: E35 E55 E65 F15 H15 I15
14
A readable introduction to real mathematics. (English)
Undergraduate Texts in Mathematics. Cham: Springer (ISBN 978-3-319-05653-1/hbk; 978-3-319-05654-8/ebook). xii, 161~p. (2014).
Classification: F15 H15 I15 E65 Reviewer: Jürgen Appell (Würzburg)
15
EAGLE-starting aid. Basic concepts of mathematics. Logic ‒ sets ‒ relations and functions ‒ concept of numbers. (EAGLE-Starthilfe. Grundbegriffe der Mathematik. Logik ‒ Mengen ‒ Relationen und Funktionen ‒ Zahlbegriff.) (German)
EAGLE 72. Leipzig: Edition am Gutenbergplatz Leipzig (EAGLE) (ISBN 978-3-937219-72-1/pbk). 99~p. (2014).
Classification: E35 E45 E65 F25 I25 Reviewer: Kim Solin (Uppsala)
16
The logic of infinity. (English)
Cambridge: Cambridge University Press (ISBN 978-1-107-67866-8/pbk; 978-1-107-05831-6/hbk; 978-1-107-41561-4/ebook). xxiv, 473~p. (2014).
Classification: E65
17
Another half-dozen important mathematical constants. (English)
Adv. Appl. Math. Sci. 13, No. 3, 131-144 (2014).
Classification: G15 F65 E65 I15
18
Cardinality and cardinal number of an infinite set: a nuanced relationship. (English)
Liljedahl, Peter (ed.) et al., Proceedings of the 38th conference of the International Group for the Psychology of Mathematics Education “Mathematics education at the edge", PME 38 held jointly with the 36th conference of PME-NA, Vancouver, Canada, July 15‒20, 2014, Vol. 4. [s. l.]: International Group for the Psychology of Mathematics Education (ISBN 978-0-86491-360-9/set; 978-0-86491-364-7/v.4). 169-176 (2014).
Classification: E65 D75
19
Counterexamples to Cantor-Schroeder-Bernstein. (English)
Math. Enthus. 11, No. 3, 475-484 (2014).
Classification: E65 I95 K35 H45
20
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