Abstract: - Leonhard Euler is considered to be one of the greatest mathematicians of all time. He made incredible discoveries to many subject areas, but most were to the field of mathematics. In this paper we explore Euler’s mathematical contributions including formulas/identities, concepts and notations. We see how Euler’s formula came to be and the story behind it along with Euler’s identity. We then explore Euler’s approaches to the Basel and Seven Bridges of Königsberg problems and his solutions to these. Lastly, we see Euler’s influence in current mathematical notations. Key-Words: - Euler, notations, formulas, Basel, Königsberg 1 Introduction Leonhard Euler was born on April 15th, 1707 in Basel, Switzerland. His father, Paul Euler,…
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,…
Leonhard Euler was a famous eighteenth century physicist who was responsible for developing many concepts that are now part of modern mathematics. He is acknowledged for many of the articles and books that he wrote over his lifetime. Leonhard was one of the top mathematics of the eighteenth century and the greatest mathematician to come out of Switzerland (Leonhard Euler Biography n.pag). Leonhard Euler was born on April 15, 1707 in Basel Switzerland. His parents were Paul Euler and Marguerite…
physics, it is he and the men which preceded him that truly impacted the mathematical world of their time. “That calculus rose to its height of popularity in the eighteenth century,” is attributed to Jacques I and Johann I (Lick, 401). Daniel I’s accomplishments warranted him “the founder of mathematical physics”(Lick, 401). Along with their accomplishments, these men worked side by side with the most gifted and influential mathematical mind of the time. The following will discuss the lives of…
Leonhard Euler, a Calvinist mathematician whose work in math is still praised today. One thing Euler is praised for is how he made math so simple and was able to give an extremely in-depth analysis. Euler was born April 15, 1707, in Bale, Switzerland. Europe’s best mathematician, Johann Bernoulli, tutored him. Since Leonhard Euler’s father was Calvinist pastor, he wanted his son to follow in his footsteps. The reason that he didn’t was Bernoulli saw his mathematical potential and advocated for…
which causes a serious problems of the banks’ credit risk exposure through four main channels. For example, a deterioration of the sovereign creditworthiness causes lots of damage to the banks which holds a large amount of the sovereign bonds. Moreover, in order to defend the default risk from the sovereign bonds, banks increase the minimum capital requirement than before to maintain a sustainable banking system. Lastly, policy makers within the Eurozone make a consensus that the home bias…
and pregnancies are six times more likely to end in miscarriage”(2013). Generally electronics are not made with recycling, or resource extraction from the product in mind. To recycle this toxic garbage, safely, requires large sums of money and, can be very labor intensive. Before continuing we need to examine some of the global flows. The Basel Convention was adopted on 22 March 1989 in response to a public outcry following the discovery, in the 1980s, in Africa and other parts of the…
Next, I will explore the risk faced by both conventional and Islamic banks, the management and level of resiliency towards crisis. M.Ariffin et. al (2009) found that Islamic banks carries similar type of risk in different level, which means, the understanding of risk in Islamic banking practitioner are alike with the conventional due to the similar regulation that they have in risk management and governance. In the case of Malaysia, Sairally et. al (2013) revealed there is conflict in complying…
Anabaptists. He was a very educated man. Hans studied at the University of Ingolstadt, and also studied at the University of Basel. Hans knew several languages, including Latin, Greek, and Hebrew. For awhile he was editor for Cratander of Basel, and also later editor to Valentine Curio. Hans had began to question the ways of the Lutherans especially on the basis of justification of Faith, “Which seemed to guarantee the standing of a believer with God regardless of the character of his life.…
during his time. He was born in 1497 in Augsburg into a family of famous artists, including his father, uncle, and older brother. Hans Holbein the Younger learned to paint from his famous artistic father, Hans Holbein the Elder. Hans Holbein the Younger painted over 150 portraits, as well as created woodcuts and designed clothing for royalty during his lifetime. In 1515, Holbein went to Basel, Switzerland and was commissioned to do pen illustrations in the margins of Erasmus’ book The Praise…