1. komponenta

Lecture type	Total
Lectures	45

* Load is given in academic hour (1 academic hour = 45 minutes)

COURSE AIMS AND OBJECTIVES: To give a unified view of undergraduate mathematics by approaching the subject through its history

COURSE DESCRIPTION AND SYLLABUS:
1. Babylonian and Egyptian mathematics.
2. The beginnings of mathematics in Greece. The theorem of Pythagoras. Perfect numbers. Incommensurable quantities.
3. Eudoxus' theory of proportion and method of exhaustion.
4. Euclid's Elements. Apollonius' Conic sections.
5. Archimedes, Aristarchus and Eratosthenes.
6. Hipparchus, Ptolemy, Diophantes.
7. Medieval mathematics of India and Islam. Mathematics in medieval Europe.
8. Algebra in the Renaissance.
9. Early infinitesimal methods (Galileo, Kepler, Cavelieri)
10. Analytic geometry of Fermat and Descartes.
11. Newton's calculus of series and the calculus of Leibniz.
12. Euler's analysis.
13. Arithmetization of analysis (Weierstrass, Dedekind, Cantor)
14. Twentieth century mathematics. Set theory, topology, measure theory.
15. New ideas in algebra. Logic and computability.

1. Mathematics and its history, J. Stillwell, Springer Verlag, 2001.
2. Kako je stvarana novovjekovna matematika, Z. Šikić, Školska knjiga, 1989.
3. Knjiga o kalendarima, Z. Šikić, Profil International, Zagreb, 2002.
4. Filozofija matematike, Z. Šikić, Školska knjiga, 1995.
5. Doživljaj matematike, P. J. Davis, R. Hersh, E. A. Marchisotto, Golden marketing - Tehnička knjiga, Zagreb, 2004.

Enrollment :
Passed : Linear algebra 2
Passed : Probability and statistics

Izborni matematički predmet 5 - Regular study - Mathematics and Physics Education