- Inter-faculty Studies in Bioinformatics and Systems Biology
- Bachelor's degree, first cycle programme, Computer Science
- Bachelor's degree, first cycle programme, Mathematics
- Master's degree, second cycle programme, Bioinformatics and Systems Biology
- Master's degree, second cycle programme, Computer Science
- Master's degree, second cycle programme, Mathematics
History of mathematics I 1000-00HM1-OG
The course is widely accessible. However, it contains historically important examples of mathematical reasoning.
Linguistic sources on the prehistory of mathematical notions. The ideas of Piaget and New Maths.
Mathematics in empirical methodologies. Babilon. Egypt.
The revolution of the 18th century b.C. Thales and his school. The postulate of certain knowledge.
The conceptual revolution of the 6th century b.C. The Pythagoreans. Beginnings of deduction.
Plato's Academy. The numerical crisis. Creation of real numbers. Eudoxos and Theaetetus.
Euclid's "Elements" and other works.
Archimedes. Ptolemy, Diophantos. Historians and epigons.
Mathematics out of Europe in the antiquity and in the Middle Ages.
Mathematics as a game.
Gerbert. Universities. Fibonacci. Solution of equations of degree 3 and 4. The status of complex numbers.
Getting rid of computational problems. Logarithms.
Copernicus and Kepler. Pantheism.
Galileo Galilei. Descartes's "Discourse on the method". Academies of Science.
Beginnins of mathematical analysis. Newton, Leibniz, Huygens. The Bernoulli family.
The state of knowledge by the end of the 17th century.
Type of course
Course coordinators
Term 2024Z: | Term 2023Z: |
Bibliography
Extended lecture notes:
M. Kordos, Wykłady z historii matematyki, WSiP 1994, Script 2005
In Polish:
D.J. Struik, Krótki zarys historii matematyki do końca XIX wieku, PWN 1963
Historia matematyki, pod red. A.P. Juszkiewicza, PWN 1978-1985
N. Bourbaki, Elementy historii matematyki, PWN 1980
S. Kulczycki, Z dziejów matematyki greckiej, PWN 1973
J. Mioduszewski, Ciągłość. Szkice z historii matematyki, WSiP 1996
Filozofia matematyki: antologia tekstów klasycznych, wyb. i opr. R. Murawski, Wyd. Naukowe UAM 1986
R. Murawski, Filozofia matematyki, PWN 1995
In other languages:
M. Kline, Mathematical Thought from Ancient to Modern Times, Oxford UP 1972
M. Kline, Mathematics, The Loss of Certainty, Oxford UP 1980
M. Kline, Mathematics in Western Culture, Oxford UP, 1958
A. Dahan-Dalmedico, J. Peiffer, Routes et dedales, Etudes Vivantes 1982 (French)
F. Klein, Vorlesungen uber die Entwicklung der Mathematik im 19.Jahrhundert, Springer 1926 (German)
(a series) Matematika XX wieka, red. A.N. Kolmogorov, A.P. Yushlevich, Nauka, 1978-1990 (Russian)
S.G. Gindikin, Rasskazy o fizikah i matematikah, Nauka 1981 (Russian)
(a selection of texts) Ob osnovanyah geometrii, Nauka 1988 (Russian)
Additional information
Information on level of this course, year of study and semester when the course unit is delivered, types and amount of class hours - can be found in course structure diagrams of apropriate study programmes. This course is related to the following study programmes:
- Inter-faculty Studies in Bioinformatics and Systems Biology
- Bachelor's degree, first cycle programme, Computer Science
- Bachelor's degree, first cycle programme, Mathematics
- Master's degree, second cycle programme, Bioinformatics and Systems Biology
- Master's degree, second cycle programme, Computer Science
- Master's degree, second cycle programme, Mathematics
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: