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 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

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

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

The knight’s tour In this paper, I will discuss the knight’s tour, a chess puzzle relatable to graph theory. I will talk about the history of the problem, how it is related to the Hamiltonian paths and circuits, and some techniques to finding the many different tours and proving their existence. The knight is, as you might know, the only chess piece that does not move in a straight line. No, the knight moves two spaces in one direction, and then on in a perpendicular direction. The knights tour

Pierre de Fermat was born August 17, 1601 in Beaumont-de-Lomagne, France. After pursuing his bachelor in civil law from the University of Toulouse, he spent a great deal of time researching calculus and corresponding with other mathematicians. Fermat was perhaps best known for the “integrity of his commitment to the cause of mathematical truth” [1] and sought to establish himself as a legitimate mathematician aside from his main profession as a lawyer. He was rather political about his work and frequently

Aerodynamics is a branch of dynamics to the study of air movement together. It is a subfield of fluid dynamics and gas, and the term "drag" is often used to refer to the gas dynamics. The earliest records of the basic concepts of aerodynamics on the work of Aristotle and Archimedes in the third and second centuries BC, but the efforts to find a quantitative theory of airflow develop until the 18th century, beginning in 1726 was Isaac Newton as one of the first in modern aerodynamics mind when he

ojects that involve the implementation of a technology or process that uses less energy to achieve the same quality of output. Energy effi-ciency plans have the primary goal of decreasing the overall energy consumption in the medium/long term [4]. An example of an energy efficiency project is replacing incan-descent light bulbs with energy saving compact fluorescent light (CFL) bulbs, this will save energy and cost while maintaining the quality of service. For mass roll out energy efficiency projects it