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Greek mathematical texts II - NUMV059

Title:	Řecké matematické texty II
Guaranteed by:	Mathematical Institute of Charles University (32-MUUK)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2010 to 2012
Semester:	summer
E-Credits:	3
Hours per week, examination:	summer 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):	doc. RNDr. Zbyněk Šír, 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 -

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.

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 -

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.

Last update: T_KDM (13.05.2008)

Teaching methods -

Optional seminar.

Last update: T_KDM (20.05.2008)

Syllabus -

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.

Last update: T_KDM (13.05.2008)