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History of Mathematics II - NUMV001

Title:	Dějiny matematiky II
Guaranteed by:	Department of Mathematics Education (32-KDM)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2014
Semester:	winter
E-Credits:	3
Hours per week, examination:	winter s.:2/0, MC [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	cancelled
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	doc. RNDr. Jindřich Bečvář, CSc.
Class:	DS, obecné otázky matematiky a informatiky
Classification:	Mathematics > Mathematics General
Incompatibility :	NMUM306
Interchangeability :	NMUM306

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Annotation -

Last update: doc. RNDr. Jindřich Bečvář, CSc. (03.05.2005)

Optional lectures for students - future teachers. The lectures are devoted to the development of mathematics in the Middle Ages.

Aim of the course -

Last update: T_KDM (19.05.2008)

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

Literature -

Last update: BECVAR/MFF.CUNI.CZ (11.05.2008)

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.

Teaching methods -

Last update: T_KDM (19.05.2008)

Lectures.

Syllabus -

Last update: doc. RNDr. Jindřich Bečvář, CSc. (03.05.2005)

1. The extinction of Antique World, its reasons and consequences. The last mathematicians of classical Antiquity.

2. The Middle Ages.

3. Septem artes liberales, trivium and quadrivium.

4. Church, culture and education.

5. Mathematics at the end of the 8th century. Alcuin of York, his life and activities.

6. Mathematics at the end of the 10th century. Gerbert of Aurillac - pope Silvestre II., his life and activities.

7. Mathematics in the Arabic World. The development of Arabic science. Al-Khwarizmi, Abu Kamil, Omar Khayyam.

8. Transfer of antique knowledge from Arabic World and the Byzantine Empire to Europe.

9. Mathematics at the beginning of the 13th century. Leonardo of Pisa - Fibonacci, his life and work.

10. The Middle Ages counting algorithms.

11. Universities.

12. Mathematics at the second half of the 14th century. Nicole of Oresme, his life and activities.

13. Mathematics at the 15th century. Johannes Muller - Regiomontanus, his life and activities, Luca Pacioli and his Summa de arithmetica, geometria, proportioni et proportionalita.

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