#LEONHARD EULER SERIES#

The arrangement of the bridges gave birth to the following puzzle:Ĭan one walk across all seven bridges and never cross the same one twice? The city had seven bridges connecting, five connecting the island of Kneiphof to the mainland and two crossed the two branches of the river. Kóningsberg, a merchant city in the Pregel River, was the capital of Eastern Prussia (now Kaliningrad, Russia). The link between Leonhard Euler and graphs comes from the solution that he presented in 1735 to the problem known as the Seven Bridges of Königsberg. He was a Swiss mathematician who made important and influential discoveries in many branches of mathematics, and to whom it is attributed the beginning of graph theory, the backbone behind network science. Laplace told his students, 'Liesez Euler, Liesez Euler, c'est notre maître à tous' ('Read Euler, readĮuler, he is our master in everything' (Beckmann 1971, p. 153).Īdditional biographies: MacTutor (St.Leonhard Euler was born on April 15th, 1707. Testament to Euler's proficiency in all branches of mathematics, the great French mathematician and celestial mechanic Finally, he proved theīinomial theorem was valid for any rational exponent. Had Euler pursued the matter, he would have discovered the constant of motion later found in aĭifferent form by Jacobi and known as the Jacobi integral.Įuler also found the solution to the two fixed center of force problem for a third body. In 1772, he introducedĪ synodic coordinates (rotating) coordinate system to the study of the three-body problem (especially the

#LEONHARD EULER SERIES#

Harmonic series implied an infinite number of Primes, factoring the fifthįermat number (thus disproving Fermat's conjecture), proving Fermat's lesser theorem, and He also did important work in number theory, proving that that the divergence of the He computed the Riemann zeta function to for even numbers. To a complex power can be written as a complex number, and investigated the beta and gamma functions. Infinitorum (1748) provided the foundations of analysis. He made significant contributions to the study of differential equations. He also made major contributions in optics, mechanics, electricity, and Such huge quantities, Euler is reported to have replied that his pencil seemed to surpass him in intelligence.įrançois Arago said of him 'He calculated just as men breathe, as eagles sustain themselves in theĪir' (Beckmann 1971, p. 143 Boyer 1968, p. 482).Įuler systematized mathematics by introducing the symbols e, i, andį( x) for f a function of x. When asked for an explanation why his memoirs flowed so easily in

Prolific mathematical writer of all times finding time (even with his 13 children) to publish over 800 papers in his

Large slate when his sight was failing him), he continued to publish his results by dictating them. Nevertheless, aided by his phenomenal memory (and having practiced writing on a He had a phenomenal memory, and once did a calculation in his head to settle anĪrgument between students whose computations differed in the fiftieth decimal place. He worked at the PetersburgĪcademy and Berlin Academy of Science. Swiss mathematician who was tutored by Johann Bernoulli. Euler, Leonhard (1707-1783) - from Eric Weisstein's World of Scientific Biography

Leonhard euler