Theoria Motuum Planetarum et Cometarum in 1744Įuler also made prominent discoveries in optics in 1746.This discovery by Euler led to the construction of Lunar Tables by Mayer. He referred the motion of a body with its three axes that are parallel to one another. In these he addressed the problem of three bodies. Much of Euler’s work can also be found in astronomy amongst which three books are of great significance. He also gave the concept of imaginary logarithms of negative numbers and infinite logarithms for complex numbers. He developed a famous relation which we now know as the Euler’s Identity. He presented properties of Euler line, Euler’s circle and many other geometrical phenomenons. His book Anleitung zur Algebra published in 1770 in two volumes contains a lot of his algebraic work. He used scientific reasoning for the fundamental processes occurring, proved the binomial theorem and addressed the problems put forth by Fermat and solved them. He presented them in his publications Institutiones calculi differentialis in 1755 and Institutiones calculi integralis in 1768–70 that allowed many future mathematicians to use them in various applications such as, calculating work done by a force, finding geometric solutions etc. Many formulae and solutions of differentiation and integration were discovered by Euler. From this year untill 1766 Euler made numerous contributions to mathematics through his articles, books and publications. In 1741, Euler got the opportunity of joining the Berlin Academy of Science and Beaux Arts upon invitation from Frederick the Great. In result of his untiring efforts, Euler loss sight in his one eye in 1735. The same year, he made another progression in mathematics by solving the Seven Bridges of Königsberg Problem that had remained unsolved by many scientists for many years, thus introducing the concept of graphs. This result was different by what Daniel Bernoulli had provided earlier. In 1735, Euler also worked on the Basel Theory that was proposed early in 1644 and confirmed the sum of a specific zeta function to be. Ratio of a circle’s circumference to its diameter Many of the notations that are used in mathematics today became popular due to Euler’s efforts.
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