Leonhard Euler Essays

Leonhard Euler (1707 – 1783) Introduction: None of mathematicians in history is equal in greatness as Leonhard Euler who became undisputed leader of the time by making tremendous contributions to mathematics and physics in eighteenth century. He influenced many branches of applied and pure mathematics such as Number theory, Calculus, Fluid Mechanics, etc. He extended the work of Leibniz in differential calculus and Fermat’s in number theory. He used difference operator in number theory and proved

Leonhard Euler, a pioneering Swiss mathematician and physicist, was very successful in his life due to his discoveries in infinitesimal calculus and the graph theory. Preeminent mathematician of the eighteenth century, Leonhard Euler, has been believed to be one of the greatest mathematicians to ever live. Euler has been given recognition for introducing much of the modern mathematical terminology and notation, mostly for mathematical analysis, such as the notion of a mathematical function. His

INTRODUCTION Leonhard Euler was born on 1707, April 15 in Basel, Switzerland. He was a son of a famous Priest, Paul Euler. He died in 1783 St. Petersburg, Russia at the age of 76. Euler was a genius and born with a remarkable memory. Leonhard got his first education in mathematics at home from his dad, as his father was also interested in mathematics and studied from Jakob Bernoulli at university. At the age of 13 Euler entered the University of Basel and took courses from famous Professor, John

discovering the mathematical constant e (Euler’s number) and finding the sum of all natural numbers to be negative one-twelfth. While these discoveries are now rudimentary in the field of mathematics, they were breakthroughs of the 18th century. But how did Euler make these discoveries? The current teachings of mathematics at the time did not indicate a possibility for these discoveries; however, through Euler’s ingenuity and creativity, he was able to make discoveries beyond the imagination of man at the time

dictionary. (Mathematics | Definition of mathematics in English by Oxford Dictionaries. (n.d.). Mathematics is a fun thing that discovered by mathematicians (mathematics experts). The mathematician Leonhard Euler was the best and most famous mathematician in the history of the 18th century. In 1707, Leonhard Euler was born in Basel, Switzerland. He was admitted to Basel University at the age of 13, graduated from university at the age of 15, and received a master's degree at the age of 16. At the age of

Leonhard Euler was a Swiss mathematician who lived during the 18th century. He was born in Basel, Switzerland in 1707, but when he was one year old his family moved to Riechen and he was raised there. He was the eldest son of six children. His father, Paul Euler was a Calvinist preacher who worked with his young son in mathematics and then arranged for him to study with a renowned mathematician. Euler was 13 years old when he entered the University of Basel and continued his studies there under

Leonhard Euler was one of the greatest mathematicians to ever live. He built on works by some of the greats before him like Newton and Leibniz, and also created new ideas that paved the way for future mathematicians. Leonhard Euler was born on April 15,1707 in Basel, Switzerland to Paul Euler and Margaret Brucker. His father was a Protestant minister and had studied theology at the University of Basel. While at the University, Paul Euler, had attended Jacob Bernoulli’s lectures, and lived with

Who was Leonhard Euler? When asked to name some of the greatest contributors to the field of mathematics most people would answer Einstein, Newton, Pythagoras, Fibonacci, or perhaps Gauss. None of these people would be incorrect. However, most would not name Leonhard Euler. Perhaps he didn’t have as good of a publicist; maybe his achievements overshadowed his name. In either case, Euler deserves to be credited and mentioned with the likes of the other great minds previously mentioned. Given his

and over again. Leonhard Euler, one of the most prolific mathematicians

Paul Erdős, one of the most famed mathematicians of the 20th century, lived quite a remarkable and unique life. Perhaps second only to Leonhard Euler as the most prolific mathematician of all time, Erdős was born in 1913 to a Jewish family and raised in Budapest, Austria-Hungary. Just days before his birth his two sisters died of scarlet fever. Unfortunately, Paul’s early hardships continued when his father was taken away to a Soviet gulag leaving him with just his mother who had to work full-time

and without them, mathematics would not be what it is today. One well know mathematician, that made a huge contribution to the math field, is Leonhard Euler. Leonhard Euler is a mathematician from Switzerland who made influential discoveries to the world of math. Leonhard Euler was the son of protestant minister Paul Euler and Margaret Brucker. Leonhard Euler was born in Basel, Switzerland, but had moved to Riehen

Hans Jurgen Eysenck Biography Hans Jurgen Eysenck was born in Berlin, Germany in March, 1916 and died in London, September 1997. With the rise of the Nazi party in the 1930’s Eysenck chose to leave Germany in 1934 for London where he pursued his education in psychology. In 1950 he married Sybil Rostal who is also a distinguished psychologist who co-authored books with Eysenck. Eysenck’s ideas were also controversial at times, which he enjoyed. In a 1971 paper entitled “Race, Intelligence, and

Figure shows the intersection of line joining the camera center and image points ${\bf x}$ and ${\bf x'}$ which will be the 3D point ${\bf X}$.\\ \end{figure} The ‘gold standard’ reconstruction algorithm minimizes the sum of squared errors between the measured and predicted image positions of the 3D point in all views in which it is visible, i.e.\\ \begin{equation} {\bf X=\textrm{arg min} \sum_{i} ||x_i-\hat{x_i}(P_i,X)||^2} \end{equation} Where ${\bf x_i}$ and ${\bf \hat{x_i}(P_i,X)}$ are the

He also released hundreds of articles and other publications during his life. Euler was one of the founders of pure mathematics. He made decisive and formative contributions to geometry, calculus, mechanics and the number theory, while developing methods for solving problems in observational astronomy. In 1727, he moved to St. Petersburg and became an associate of the St. Petersburg Academy of Sciences. In 1735, Euler lost eye sight in his left eye due to a

probably his inventions of mathematical notations. He is the one who thought of the concept of a function and writing it as f(x), the “e” for the base of the natural logarithm which is used in extensively in calculating compound interest (also called The Euler Constant), the “i” for imaginary numbers, as well as using the symbol to represent the number pi. All of this is used in mathematics worldwide to this day. He went on to join the Royal Academy at Berlin in 1741 and returned back to St. Petersburg

As David Hume would say, ‘A wise man proportions his belief to the evidence.’ (David Hume, Humanism.org.uk) Evidence is one of the most applied and used ways of justifying a claim or belief. However, the extent to which evidence is required to support our beliefs varies based on whether the evidence provided is subjective or sparse. Beliefs, on the other hand, are assumed truths. A justified true belief refers to a situation where in order for one to know something, he has to believe it and be able

Constantinople was the capital of Rome and held lots of wealth and knowledge. When it was besieged and taken over they took all the scriptures, notes, and drawings to Italy for example Plato’s and Aristotle’s discoveries were all within this transfer of knowledge. In the Renaissance, people would read these scriptures and see the notes and develop or disprove what the people of the past found out like Newton and Leibniz. Renaissance engineering was developed through mathematics and science which

my daily life. I decided on the topic geometry as I feel that I am more interested in this topic as the school has not fully covered this topic. *historical background of polyhedrons and triangles* Euler’s Formula for polyhedron is named after Leonhard Euler (1707 - 1783) , a swiss mathematician as he was the first person who discovered F + V − E = in 1750. *historical background* Euler’s Formula for polyhedron proves that for any convex polyhedron which includes platonic solids, the number of faces

The use of trigonometry in ancient astronomical observations Introduction Trigonometry was improved initially as a tool for fixing problems in Greek Astronomy in the period of 300 BCE- 300 CE. The sine, cosine, tangent, cotangent terms were developed much later, however, the seeds were spangled by Greek astronomers and mathematicians. This presentation will cover the topic of the use of trigonometry in ancient astronomical observations. In this presentation, I will give basic understanding on trigonometry

Introduction Leonhard Euler is one of the great mathematicians, who made many remarkable contributions to mathematics. I got to know him when I was learning natural logarithm in math class, which is one of his achievements. He discovered many theorems including polyhedron formula, which states that the number of any polyhedron together with the number of vertices is two more than the number of edges (Kirk, 2007). This formula is widely used in mathematical practice and in real life as well. As polyhedron