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Course, academic year 2023/2024
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History of Mathematics II - NMUM306
Title: Dějiny matematiky II
Guaranteed by: Department of Mathematics Education (32-KDM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2023
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:2/0, Ex [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: Mgr. Zdeněk Halas, DiS., Ph.D.
prof. RNDr. Martina Bečvářová, Ph.D.
Class: M Bc. MZV
M Bc. MZV > Povinné
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
Incompatibility : NMTM306, NUMP015
Interchangeability : NMTM306
Is incompatible with: NMTM306, NUMV001
Is interchangeable with: NMTM306, NUMV001
Annotation -
Last update: RNDr. Jakub Staněk, Ph.D. (14.06.2019)
This course is devoted to selected topics from school mathematics from historical perespective: origin and development of core concepts and disciplines.
Course completion requirements -
Last update: Mgr. Zdeněk Halas, DiS., Ph.D. (29.10.2019)

Successful completion of a written test (120 minutes).

It is necessary to demonstrate an understanding of all the topics discussed in the lecture.

Literature -
Last update: T_KDM (14.04.2014)

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.

Requirements to the exam - Czech
Last update: Mgr. Zdeněk Halas, DiS., Ph.D. (19.02.2019)

Předmět je uzavřen zkouškovým testem.

Syllabus -
Last update: T_KDM (14.04.2014)

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.

 
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