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Greek Mathematical Texts I - NUMV058

Title:	Řecké matematické texty I
Guaranteed by:	Mathematical Institute of Charles University (32-MUUK)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2010 to 2016
Semester:	winter
E-Credits:	3
Hours per week, examination:	winter s.:0/2, C [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech
Teaching methods:	full-time

Guarantor:	doc. RNDr. Zbyněk Šír, Ph.D.
Teacher(s):	Mgr. Zdeněk Halas, DiS., Ph.D.
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

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Annotation -

The seminary is devoted to the reading and commentary of the most important paragraphs of greek mathematical writings. Organised in cooperation with the philosophical faculty of Charkes University.

Last update: T_KDM (13.05.2008)

Aim of the course -

This course helps to obtain theoretical background for teaching mathematics at high school.

Last update: T_KDM (19.05.2008)

Literature -

Heath, T. L., A History of Greek Mathematics, 2 díly, Oxford 1921.

Heath, T. L., Mathematics in Aristotle, Oxford, Clarendon Press 1949.

Euclidis Opera omnia, vyd. I. L. Heiberg a H. Menge, 1-8, Leipzig, Teubner 1883-1916.

Bečvářová, M., Eukleidovy Základy, jejich vydání a překlady, Praha 2002.

Dictionary of scientific biography, vyd. Gillispie, Ch.C., New York 1970-1990.

Knorr, W. R., The Ancient Tradition of Geometric Problems, Boston, Basel, Stuttgart, Birkhauser 1986.

Nikomachos z Gerasy, Nicomachi Gerasini Introductionis Arithmeticae Libri II, vyd. R. Hoche, Leipzig, Teubner 1866.

Proklos, A Commentary on the first Book of Euclid's Elements, př. G. R. Morrow, Princeton University Press 1970.

Last update: T_KDM (13.05.2008)

Teaching methods -

Optional seminar.

Last update: T_KDM (20.05.2008)

Syllabus -

1. Seznam dochovaných textů a kritický pohled na předkládané teorie o vývoji řecké matematiky v jejich světle.

2. Matematické pasáže u Platóna a Aristotela. Předeukleidovské zlomky (Hippokratovy měsíčky, nalezení dvou středních úměrných u Archyty a Menaichma).

3. Eukleidovy Základy, neopythagorejská aritmetika (Nicomachos z Gerasy).

Last update: T_KDM (13.05.2008)