Technical University of Liberec
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for academic year 2025/2026
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Course: Introduction to Set Theory

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Course title Introduction to Set Theory
Course code KMA/KUTM
Organizational form of instruction Seminary
Level of course Master
Year of study not specified
Semester Winter and summer
Number of ECTS credits 3
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements Course does not contain work placement
Recommended optional programme components None
Course availability The course is available to visiting students
Lecturer(s)
  • Salač Petr, doc. RNDr. CSc.
Course content
unspecified

Learning activities and teaching methods
  • Class attendance - 8 hours per semester
Learning outcomes
The aim of the course is to gain basic knowledge of Cantor's set theory with the axiom of choice, the results of which are now widely used in mathematics. Introduction of good set order and construction of ordinal and cardinal numbers. Introduction to the methodology of teaching sets at primary school.

Prerequisites
unspecified

Assessment methods and criteria
unspecified
Recommended literature
  • Balcar, B. - Štěpánek, P.:. Teorie množin. Praha, Academia, 1986.
  • Cantor, G. Contributions to the Founding of the Theory of Transfinite Numbers. New York, 1915.
  • Vopěnka, P. Nová infinitní matematika I., Velká iluze matematiky 20. století. Praha, Karolinum, 2015.
  • Vopěnka, P. Nová infinitní matematika II., Nová teorie množin a podmnožin. Praha, Karolinum, 2015.
  • Vopěnka, P. Nová infinitní matematika III., Reálná čísla a jejich diskretizace. Praha, Karolinum, 2015.
  • Vopěnka, P. Nová infinitní matematika IV., Staronový diferenciální počet. Praha, Karolinum, 2015.
  • Vyšín, J., Dlouhý, Z., Koman, M. Množiny a relace pro 7. ročník ZDŠ. Praha, JČMF, 1970.
  • Vyšín, J. Množiny bodů a grafy relací. Praha, JČMF, 1968.
  • Vyšín, J. Úvod do množinové matematiky. Díl 1.. Praha, SPN, 1969.
  • Vyšín, J. Úvod do množinové matematiky. Díl 2.. Praha, SPN, 1969.
  • Vyšín, J. Výrokové formy. Praha, JČMF, 1979.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Technical University of Liberec, date of update: 03.11.2025 23:50. Data created for academic year 2025/2026