The first international mathematical community: The Circolo matematico di Palermo

In this work we focus on research contacts of Leonhard Euler with Polish scientists of his era, mainly with those from the city of Gdańsk (then Gedanum, Danzig). L. Euler was the most prolific mathematician of all times, the most outstanding mathematician of the 18th century, and one of the best ever. The complete edition of his manuscripts is still in process (Kleinert 2015; Kleinert, Mattmüller 2007). Euler’s contacts with French, German, Russian, and Swiss scientists have been widely known, while relations with Poland, then one of the largest European countries, are still in oblivion. Euler visited Poland only once, in June of 1766, on his way back from Berlin to St. Petersburg. He was hosted for ten days in Warsaw by Stanisław II August Poniatowski, the last king of Poland. Many Polish scientists were introduced to Euler, not only from mathematical circles, but also astronomers and geographers. The correspondence of Euler with Gdańsk scientists and officials, including Carl L. Ehler, Heinrich Kühn and Nathanael M. von Wolf, originated already in the mid-1730s. We highlight the relations of L. Euler with H. Kühn, a professor of mathematics at the Danzig Academic Gymnasium and arguably the best Polish mathematician of his era. It was H. Kühn from whom Euler learned about the Königsberg Bridge Problem; hence one can argue that the beginning of the graph theory and topology of the plane originated in Gdańsk. In addition, H. Kühn was the first mathematician who proposed a geometric interpretation of complex numbers, the theme very much appreciated by Euler. Findings included in this paper are either unknown or little known to a general mathematical community.

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GENERALIZATION OF OLYMPIAD PROBLEMS WITH DYNAMIC SOFTWARE

Education and Technologies Journal ◽

10.26883/2010.211.3268 ◽

2021 ◽

Vol 12 (1) ◽

pp. 249-255

Author(s):

Sava Grozdev ◽

◽

Veselin Nenkov ◽

Keyword(s):

Geometer's Sketchpad ◽

International Mathematical ◽

Points Of View ◽

Dynamic Software ◽

Program Software ◽

Insight Into ◽

Gaining Insight

Various meaningful generalizations could be obtained after gaining insight into some mathematical assertions from different points of view. Generalizations of two problems from International Mathematical Olympiad papers are shown when the details are combined with the opportunities of the program software „The Geometer’s Sketchpad “ (GSP).

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