Subject: History of mathematics (17.0M528 )
Study programmes of the course:
| Type of studies | Title |
|---|---|
| Master Academic Studies | Mathematics in Engineering (Year: 1, Semester: Winter) |
Enabling students to develop abstract thinking and acquire basic knowledge in the field of the history of mathematics
The numbering andcounting, theorigin ofmathematics.Infinity.NumberPi.Great problemsof mathematics.Mechanicalinstruments andcomputing machines.Mathematicsand relatedsciences- astronomy, physics.Mathematicsand engineering.Mathematics in history - Egypt, Near East, Greece, Middle Ages, the Renaissance, the sixteenth to thetwentiethcentury.The developmentof mathematicsin Serbia.
The origin and periodization of mathematics. Mathematics in ancient Egypt. Mathematics in Mesopotamia. Mathematics in Old Greece to Euclid. Euclid and Apollonia. Archimedes. Mathematics in the Hellenistic world from Archimedes to the fall of the Roman Empire. Mathematics in Islamic countries from the VIII to XV century. Mathematics in Western Europe and Byzantium (from the fall of the Roman Empire to the invention of the press). The rise of the trading account and the standardization of mathematical notation. The rise of the algebra (del Fero, Tartal, Cardano, Ferrari, Bombeli, Stevin) and the finding of logarithms (Neper, Birgi, Brigs. Mathematics in France (Viet, Dekart, Ferma, Pascal, Dezarg) Infinitesimal methods and the discovery of differential and integral calculus Kepler, Cavalier, Guldin, Roberval, Toricheli, Dekart, Ferma, Pascal, Hude, de Vit, Sliz, Gregory, Valis, Hygens, Berou, Newton, Leibniz, Bernoulli) .The development of an analysis in the 18th century (Ejler, Development of the theory of numbers in the nineteenth century (Gaus, Kumer, Kroneker, Dedekind) Develops analysis and theory of sets in the nineteenth century (Gaus, Boljai, Lobachevsky, Ponsle, Steiner, Riman, Klein) The development of algebra in the XIX century (Abel, Galoa, Hamilton, Grasman, Bul, Silvester, Kalei), Mathematics in Serbia.
Lectures. Numerical and calculation practice. Consultations. Lectures are organized in combined form. The presentation of the theoretical part is followed by the corresponding examples which contribute to better understanding of the theoretical part. During the practice classes which follow the lectures, the subject matter is supported by charactristic examples to provide futher practice and better understanding In addition to lectures and practice classes there are regular consultations. There is a possibility of taking partial examinations which cover certain logical units during the course.
| Authors | Title | Year | Publisher | Language |
|---|---|---|---|---|
| 2009 | English | |||
| 2002 | English | |||
| 2007 | English |
| Course activity | Pre-examination | Obligations | Number of points |
|---|---|---|---|
| Project task | Yes | Yes | 15.00 |
| Lecture attendance | Yes | Yes | 3.00 |
| Test | Yes | Yes | 10.00 |
| Written part of the exam - tasks and theory | No | Yes | 50.00 |
| Test | Yes | Yes | 10.00 |
| Final exam - part two | No | No | 25.00 |
| Final exam - part one | No | No | 25.00 |
| Exercise attendance | Yes | Yes | 2.00 |
| Test | Yes | Yes | 10.00 |
Assoc. Prof. Nedović Ljubo
Associate Professor
Lectures
Asst. Prof. Prokić Ivan
Assistant Professor
Practical classes
Asst. Prof. Bajić Papuga Buda
Assistant Professor
Practical classes
Faculty of Technical Sciences
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© 2024. Faculty of Technical Sciences.