History of mathematics II 1000-00HM2-OG

The lecture is in principle open to all, but includes examples of historically important mathematical reasoning. The lecture is conducted in a special formula: successive meetings are led by specialists - not only mathematicians, but also historians (including historians of science) and deal with the history of the development of mathematical disciplines and research, as well as the broader social and political background of breakthroughs in the history of science.
Invited lecturers include researchers from the University of Warsaw, Jagiellonian University, the Institute of the History of Science of the Polish Academy of Sciences, and the Mathematical Institute of the Polish Academy of Sciences.

The material in the spring semester covers the development of mathematics from ancient times to the beginning of the 18th century. Subsequent lectures concern

The state of mathematics in the late 17th and early 18th centuries. A look from a distance.
Euler and others: analysis and mechanics in the 18th century.
The development of algebra in the 19th century.
Development and axiomatization of geometry in the 17th-19th centuries.
Across the fields of mathematics: examples from the 19th century.
Rigorization of analysis. Differential equations and mathematical physics in the 19th century.
Polish mathematicians and their achievements until the end of the 19th century.
Fundamentals of mathematics. From Cantor to Cohen.
Hilbert's problems.
The origin and history of topology.
Polish mathematics 1900-1939.
How informatics and computer science grew out of mathematics and their relationship to it.
Mathematics of randomness, II.
Mathematics of the second half of the 20th century: examples of spectacular applications.
Conclusion - panel discussion: the future of mathematics.

Type of course

general courses

Mode

Remote learning

Course coordinators

Paweł Goldstein
Jerzy Tyszkiewicz

Learning outcomes

Understanding of the historical development of mathematical concepts and methods

Assessment criteria

Final written test, in the form of a test with open-ended questions on the Moodle platform.

Bibliography

In Polish:

1. N. Bourbaki, Elementy historii matematyki, PWN, Warszawa 1980

2. R. Duda, Lwowska szkoła matematyczna, wyd. 2, Wydawnictwo Uniwersytetu Wrocławskiego, Wrocław 2014

3. A.P. Juszkiewicz (red.), Historia matematyki tomy 1-3, PWN, Warszawa 1975-1977

4. M. Kordos, Wykłady z historii matematyki, SCRIPT, Warszawa 2005

5. S. Kulczycki, Z dziejów matematyki greckiej, PWN, Warszawa 1973

6. D.J. Struik, Krótki zarys historii matematyki do końca XIX wieku, PWN, Warszawa 1963

7. W. Więsław, Matematyka i jej historia, wyd. Nowik, Opole 1997

8. A. K. Wróblewski, Uczeni w anegdocie, Prószyński i Ska, Warszawa 1999

9. A. K. Wróblewski, Uczeni w anegdocie. Poczet 2, Prószyński i Ska, Warszawa 2004

10. F. Klein, Wykłady o rozwoju matematyki w XIX stuleciu. Cz. 1, J. Kaja (tłumaczenie),Książnica, Leszno 2014

11. T. Iwiński, Ponad pół wieku działalności matematyków polskich, PWN 1975

12. E. Jakimowicz i A. Miranowicz (red.), Stefan Banach. Niezwykłe życie i

genialna matematyka, Wydawnictwo Impuls 2019

13. R. Kałuża, Stefan Banach, Wydawnictwo GZ 1992

14. A. Schinzel, Wacław Sierpiński, Wydawnictwo Iskry 1976

15. W. Więsław, Matematyka polska epoki Oświecenia, Wydawnictwo

Fraszka Edukacyjna 2007

11. A.K. Wróblewski, Historia fizyki. Od czasów najdawniejszych do współczesności. Wydawnictwo Naukowe PWN, Warszawa 2006

12. "Wiadomości Matematyczne" 1897-1939 oraz Roczniki Polskiego Towarzystwa Matematycznego, Seria 2, "Wiadomości Matematyczne" 1955-nadal

In English:

1. J. Barrow-Green, J.J. Gray, R. Wilson, The History of Mathematics. A Source-Based Approach, vol. 1 i 2, AMS/MAA Text Books, 2018, 2022.

2. V.J. Katz, A History of Mathematics. An Introduction, 3rd edition, Addison-Wesley, 2008

3. C. U. Merzbach, C. B. Boyer, A History of Mathematics, John Whiley & Sons Inc., Hoboken 2011

4. J. Stillwell, Mathematics and its History, Springer, New York 2010

5. J. Gray, K.H,. Parshall, Episodes in the History of Modern Algebra

(1800-1950), AMS 2007

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:

Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system:

Description of 1000-00HM2-OG in USOSweb