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Course, academic year 2019/2020
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Greek mathematical texts II - NUMV059
Title in English: Řecké matematické texty II
Guaranteed by: Mathematical Institute of Charles University (32-MUUK)
Faculty: Faculty of Mathematics and Physics
Actual: from 2017
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:0/2 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/~halas/ReckeTexty/ReckeTexty2.htm
Guarantor: 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
Annotation -
Last update: T_KDM (13.05.2008)
Continuation of the seminary "Greek mathematical texts I" (NUMV058). 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.
Aim of the course -
Last update: T_KDM (19.05.2008)

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

Course completion requirements -
Last update: Mgr. Dalibor Šmíd, Ph.D. (11.06.2019)

The condition for awarding the credit is proving good knowledge of the topics discussed during the course. Final test can be repeated at most two times. Participation at the seminars is strongly recommended, but not decisive for awarding the credit.

Literature -
Last update: T_KDM (13.05.2008)

Archimédés, Oeuvres. Vyd. et trad. franç. Ch. Mugler, 4 vol. Collection des Universités de France, Paris, Belles-Lettres 1970-74.

Apollonios, Apollonii Pergaei quae Graece exstant cum commentariis antiquis (Eutocius), vyd. J.L. Heiberg, Leipzig, Teubner 1891-1893.

Apollonios, Les Coniques, př. P. ver Eecke. Bruges 1923.

Ptolemaios, Claudii Ptolemaei opera quae exstant omnia, vyd. I. L. Heiberg, Leipzig Teubner 1898-1903.

Ptolemaios, Ptolemy's Almagest, př. G.J. Toomer, Londýn 1984.

Teaching methods -
Last update: T_KDM (20.05.2008)

Optional seminar.

Syllabus -
Last update: T_KDM (13.05.2008)

1. Archimedes and the infinitesimal mathematics (Quadrature of the parabola, On the sphere and cylinder, On spirals, Measurement of a circle ... ).

2. Appolonios of Perga and higher geometry (Conics)

3. Ptolemaios and spherical geometry.

 
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