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Course, academic year 2019/2020
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History of Mathematics I - NMUM305
Title in English: Dějiny matematiky I
Guaranteed by: Department of Mathematics Education (32-KDM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2018
Semester: winter
E-Credits: 2
Hours per week, examination: winter s.:2/0 C [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech
Teaching methods: full-time
Additional information: http://www.karlin.mff.cuni.cz/~becvar/
Guarantor: prof. RNDr. Martina Bečvářová, Ph.D.
Mgr. Zdeněk Halas, DiS., Ph.D.
Class: M Bc. MZV
M Bc. MZV > Povinné
Classification: Mathematics > Mathematics, Algebra, Differential Equations, Potential Theory, Didactics of Mathematics, Discrete Mathematics, Math. Econ. and Econometrics, External Subjects, Financial and Insurance Math., Functional Analysis, Geometry, General Subjects, , Real and Complex Analysis, Mathematics General, Mathematical Modeling in Physics, Numerical Analysis, Optimization, Probability and Statistics, Topology and Category
Incompatibility : NUMP015
Annotation -
Last update: RNDr. Jakub Staněk, Ph.D. (14.06.2019)
This course is devoted to ancient Greek mathematics.
Course completion requirements - Czech
Last update: Mgr. Zdeněk Halas, DiS., Ph.D. (07.06.2019)

Nutnou a postačující podmínkou získání zápočtu je úspěšné absolvování písemného testu (120 minut).

Je třeba prokázat porozumění všem tématům probíraným na přednášce, přičemž u žádného z témat nesmí být zjištěna znalost odpovídající hodnocení nevyhověl(a).

Literature -
Last update: T_KDM (14.04.2014)

M. Kline: Mathematical Thought from Ancient to Modern Times. Oxford Univ. Press, New York 1990.

R. Cooke: The History of Mathematics, A Brief Course. Wiley, New York 1997.

J. Stillwell: Mathematics and Its History. Springer-Verlag, New York 1994.

W. S. Anglin: Mathematics - A Concise History and Philosophy. Springer-Verlag, New York 1994.

W. S. Anglin, J. Lambek: The Heritage of Thales. Springer-Verlag, New York 1995.

H. Gericke: Mathematik in Antik, Orient und Abendland. FourierVerlag, Wiesbaden 2003.

Syllabus -
Last update: T_KDM (14.04.2014)

1. The beginning of the Greek philosophy and mathematics.

2. The discovery of incommensurability and its consequences.

3. The first crisis of mathematics. The way out of this crisis.

4. The famous problems of Greek antiquity. Squaring of the circle, trisection the angle, duplication of the cube.

5. "Nonclassical" solving of clasical problems. Hippokrates, Hippias, Archytas, Menaechmus, Dinostratus.

6. The problems with infinity. Zeno of Elea and his arguments about motion. Theodorus of Cyrene

and Theaetetus, Eudoxus and his method of exhaustion.

7. Eudoxus, theory of proportion.

8. Socrate, Plato, Aristotle.

9. Archimedes, his life, work and activities.

10. Eratosthenes and his work. Apollonius, Claudius Ptolemy.

11. Diophantus of Alexandria and his Arithmetica. Pappus and his Mathematical Collection.

The detailed syllabus (in Czech) is on the lecture www-page where the extensive list of references is added.

 
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