Leonhard Euler Research Paper

Born on April 15, 1707 in Bales, Switzerland was man names Leonhard Euler. Following in his father's footsteps he was studying to be a rural clergyman. “Though originally slated for a career as a rural clergyman, Euler showed an early aptitude and propensity for mathematics, and thus, after studying with Johan Bernoulli, he attended the University of Basel and earned his master's during his teens.”(Biography.com Editors) During his time at school, Euler found a passion for mathematics. “By 1726, the 19-year-old Euler had finished his work at Basel and published his first paper in mathematics” (TODD TIMMONS). Work on mathematics he spent fourteen years in St. Petersburg, Russia in 1741 he took a post at the Berlin Academy of Science. Euler worked …show more content…
Furthermore, a graph must have a rule that tells how the edges join the various vertices.”(TODD TIMMONS) The vertices would represent land and the edges would be the bridges. “Finally, a path is a sequence of edges and vertices, just as the path taken by the people in Königsberg is a sequence of bridges and land masses. Euler's problem was to prove that the graph contained no path that contained each edge (bridge) only once.” (TODD TIMMONS) He then began to wonder if the number of bridges was relevant to his study. Later finding that “if more than two of the land areas had an odd number of bridges leading to them, the journey was impossible.”(TODD TIMMONS) Also proving that any land area with “two land areas had an odd number of bridges leading to them, the journey would be possible if it started in either of these two areas”(TODD TIMMONS). Concluding his statements Euler stated that, “if there were no land areas with an odd number of bridges leading to them, the journey was possible starting from any area.”(TODD