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History of mathematics II

General data

Course ID:	1000-00HM2-OG
Erasmus code / ISCED:	11.103 Kod klasyfikacyjny przedmiotu składa się z trzech do pięciu cyfr, przy czym trzy pierwsze oznaczają klasyfikację dziedziny wg. Listy kodów dziedzin obowiązującej w programie Socrates/Erasmus, czwarta (dotąd na ogół 0) – ewentualne uszczegółowienie informacji o dyscyplinie, piąta – stopień zaawansowania przedmiotu ustalony na podstawie roku studiów, dla którego przedmiot jest przeznaczony. / (0541) Mathematics The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title:	History of mathematics II
Name in Polish:	Historia matematyki II
Organizational unit:	Faculty of Mathematics, Informatics, and Mechanics
Course groups:	General university courses General university courses at Faculty of Mathematics, Informatics, and Mechanics General university courses in the social sciences
ECTS credit allocation (and other scores):	3.00 Basic information on ECTS credits allocation principles: the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS; the student’s weekly hourly workload is 45 h; 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes; weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS; work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load. view allocation of credits
Language:	Polish
Type of course:	general courses
Short description:	The lecture dynamically presents the history of mathematical ideas and thinking. The focus is on relations between mathematics and the course of political and social history, civilisation, culture and the entirety of science. The scope of the lecture ranges between the neolithic revolution up to our times. In principle, mathematical knowledge at school level is sufficient to follow the course. However, greater knowledge of mathematics may help in a deeper understanding of some facts.
Full description:	Berkeley and Maclaurin. Euler, d'Alembert and Lagrange. The role of mechanics -- Laplace; determinism and randomness. Gauss. Abel and Galois. Grassmann and Hamilton. Cayley and Sylvester. The works Kummer and Kronecker. Dirichlet. Abstract algebra takes shape. Dedekind. Klein and Lie - group theory. Boole. The perspective. Monge and Poncelet. The German school. The problem of noneuclidean geometries. Saccheri. Gauss, Bolyai, Lobachevski. Beltrami and Klein. Differential geometry. Euler and Gauss. Riemann. The Italian school. Darboux. Introducing rigour into analysis. Cauchy. Weierstrass. Kovalevska; the problem of women in science. Cantor's set theory. Distribution of transcendental numbers. Formalisation of real numbers. Klein's programme. Poincar'e. The conceptual crisis and specialisation. Congresses. Hilbert' problems. Logic. Methodological schools: logicism, formalism, intuitionism, constructivism and the Bourbakist idea. Polish School of Mathematics.
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)
Learning outcomes:	(in Polish) Skoordynowanie rozwoju pojęć i osiągnięć matematyki z wydarzeniami historii powszechnej i Polski oraz postępem kulturowym, cywilizacyjnym i technicznym. Świadomość miejsca i roli matematyki w dziejach.
Assessment methods and assessment criteria:	(in Polish) kolokwium zaliczeniowe: test wielokrotnego wyboru

Classes in period "Summer semester 2023/24" (in progress)

Time span:	2024-02-19 - 2024-06-16	Selected timetable range: weekly course term Navigate to timetable MO TU W WYK TH FR
Type of class:	Lecture, 30 hours, 180 places more information
Coordinators:	Paweł Goldstein, Paweł Strzelecki
Group instructors:	Paweł Goldstein, Paweł Strzelecki
Students list:	(inaccessible to you)
Examination:	Course - Grading Lecture - Grading

Classes in period "Summer semester 2024/25" (future)

Time span:	2025-02-17 - 2025-06-08	Selected timetable range: weekly course term Navigate to timetable MO TU W WYK TH FR
Type of class:	Lecture, 30 hours, 180 places more information
Coordinators:	Paweł Goldstein
Group instructors:	Paweł Goldstein
Students list:	(inaccessible to you)
Examination:	Course - Grading Lecture - Grading

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