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History of Mathematics III - NMUM466

Title:	Dějiny matematiky III
Guaranteed by:	Department of Mathematics Education (32-KDM)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2022
Semester:	summer
E-Credits:	2
Hours per week, examination:	summer s.:2/0, C [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.
Classification:	Mathematics > Mathematics General

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Annotation -

Last update: T_KDM (04.05.2015)

The optional lectures for students - future teachers. The lectures are devoted to the most important events from the development of mathematics from the 16th to the 20th century.

Aim of the course -

Last update: T_KDM (04.05.2015)

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

Literature -

Last update: T_KDM (04.05.2015)

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 (04.05.2015)

Lectures.

Syllabus -

Last update: T_KDM (04.05.2015)

1. Algebra in the 16th century.

2. The development of the algebraic notation.

3. René Descartes and his era.

4. The beginning of the modern number theory.

5. The birth of the calculus.

6. The further development of the calculus.

7. Beginnings of linear algebra.

8. Complex and hypercomplex numbers.

9. Algebra in the 18th and 19th century.

10. Non-euclidean geometry.

11. Analysis in the 19th century.

12. Set theory.

13. Mathematics at the beginning of the 20th century.

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