Skripta pri predmetu Osnove analize za študente smeri Izobraževalna matematika na študijskem programu Predmetni učitelj
Keywords:
mathematical analysis, real numbers, complex numbers, sequences, series, real-valued functions of a real variable, continuity, limitsSynopsis
Course Material for Basic Analysis for Students of the Educational Mathematics Study Field in the Subject Teacher Study Programme. This course material is intended for the Basic Analysis course, taken in the first year by students of the Educational Mathematics study field in the Subject Teacher integrated master's study programme at the Faculty of Natural Sciences and Mathematics, University of Maribor. The material was developed in preparation for the lectures and provides a systematic treatment of the fundamental concepts of mathematical analysis. The first chapter presents one possible introduction to real numbers, covering the axioms of an ordered field, supremum and infimum, the Dedekind axiom, and the construction of real numbers (including Dedekind cuts), and concludes with complex numbers. The second chapter discusses sequences and series of real numbers, with particular emphasis on the definition of powers with real exponents. The third chapter is devoted to continuity and limits of real-valued functions of one real variable, including accumulation points of sets, one-sided limits, infinite limits, and limits at infinity.
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References
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Published
March 9, 2026
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Copyright (c) 2026 University of Maribor, University of Maribor Press
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Details about this monograph
THEMA Subject Codes (93)
P, PB, PBK, PBKB
ISBN-13 (15)
978-961-299-123-4
COBISS.SI ID (00)
Date of first publication in original language (20)
2026-03-09
How to Cite
Tratnik, N. (2026). Skripta pri predmetu Osnove analize za študente smeri Izobraževalna matematika na študijskem programu Predmetni učitelj. University of Maribor Press. https://doi.org/10.18690/um.fnm.1.2026
