Trägheit und Raum: Kant und Euler
... natural philosophy in the Metaphysical Foundations of Natural Science is heavily influenced by Newton’s Principia. However, a closer look makes it clear that Kant’s project has also been influenced by other thinkers. One of these thinkers is Leonard Euler. His work was of great influence for Kant, not only with regards to his view on space and inertia but on the relation between metaphysics and natural science in general. Even though Euler’s Physics built on Newton’s work, he differs from him ...
Kant’s Asynchronicity Concerning Newtonian Space and Gravity in his Pre-Critical Writings
... notion of space. At this time, as in regard to space, he can neither be called a Newtonian nor a proper Leibnizian and misconceives the necessity of an independent space for the foundations of physics. This perspective changes under the influence of Euler at the end of the fifties of the eighteenth century and finally leads to his writing of 1768 and the adoption of transcendental idealism in 1770. In the following, I depict this asynchronicity by taking central pre-critical writings into account ...
On the history of graph theory. Origin
... regions of constellations in the starry sky are hypergraphs.
The authors proposed the year 1542 as the year of the probable appearance of the Konigsberg bridges problem. The authors believe that the first report on graph theory was made by Leonhard Euler in 1735 at a Conference of the St. Petersburg Academy of Sciences and is devoted to the Konigsberg bridges problem. The authors believe that the first letter on graph theory by Karl Leonhard Gottlieb Ehler was sent to Leonhard Euler on March 9 (20),...
The computer simulation of tsunami wave breaking against a steep shore
This article offers a computer simulation for incompressible stratified fluid based on Euler’s equations. The ocean and the atmosphere above it are considered as an integral continuous environment. At the water-air surface, the density changes abruptly from ρ = ρwater = 1000 kg/m3 for water to ρ = ρair = 1.2 kg/m3 for air. The solution ...
