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History of mathematics

Code: 45618
ECTS: 5.0
Lecturers in charge: doc. dr. sc. Franka Miriam Brückler - Lectures
English level:

1,0,0

All teaching activities will be held in Croatian. However, foreign students in mixed groups will have the opportunity to attend additional office hours with the lecturer and teaching assistants in English to help master the course materials. Additionally, the lecturer will refer foreign students to the corresponding literature in English, as well as give them the possibility of taking the associated exams in English.
Load:

1. komponenta

Lecture typeTotal
Lectures 45
* Load is given in academic hour (1 academic hour = 45 minutes)
Description:
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.
Literature:
  1. J. Stillwell: Mathematics and its history
  2. Z. Šikić: Kako je stvarana novovjekovna matematika
  3. Z. Šikić: Knjiga o kalendarima
  4. Z. Šikić: Filozofija matematike
  5. P. J. Davis, R. Hersh, E. A. Marchisotto: Doživljaj matematike
1. semester
Izborni predmet 1, 2 - Regular study - Theoretical Mathematics

2. semester
Izborni predmet 1, 2 - Regular study - Theoretical Mathematics

3. semester
Izborni predmet 3, 4 - Regular study - Theoretical Mathematics

4. semester
Izborni predmet 3, 4 - Regular study - Theoretical Mathematics
Consultations schedule: