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Jul 23, 2013 at 23:08 comment added Jaime Arango The way we lecture has drastically changed in the last 200 years. We tend today to give more details. The answers I read are useful, but one thing is a paper, or a book, and a different think is a talk. I have no idea of how were the talks in the XVII Century or later, o more recently, how were the talks in the ICM in Chicago (1893)? The ICM 1893 papers are on line available (mathunion.org/ICM) but a glance at them suggest that the mathematical contents do not reflect entirely the talks. For example, how do they addressed the mathematical equations to the audience?
Jul 23, 2013 at 22:31 history edited Carlo Beenakker CC BY-SA 3.0
Klyve
Jul 23, 2013 at 22:26 comment added Carlo Beenakker certainly, as Euler himself writes: "The hope of having the honor to communicate in person to your highness my lessons in geometry becoming more and more distant, which is a very sensible mortification to me, I feel myself impelled to supply person instruction by writing, as far as the nature of the subjects will permit." Still, the style of the letters is quite informal and colloquial, I can imagine actually hearing Euler lecture.
Jul 23, 2013 at 22:20 comment added Alexandre Eremenko If I remember correctly, Euler taught that princess by correspndence. And that is the reason why we can read this.
Jul 23, 2013 at 21:55 history edited Carlo Beenakker CC BY-SA 3.0
Riemann
Jul 23, 2013 at 21:25 history answered Carlo Beenakker CC BY-SA 3.0