Euler: Mathematician of the Real World Many people have convinced their selves that taking math seriously is not necessary or beneficial to them. Whether you grow up to be a teacher, photographer, or social worker, math will be with you when you carry out the rest of your life. Mathematics is an essential part of life and is woven through the very fabrics of the universe. In fact, a popular phrase that educators in this field like to say is, “math is used every day, in more ways than realized”. In correspondence with this course, college algebra is used in many careers and is in fact, part of the “real world”. To specify, Leonhard Euler is a terrific example of success in mathematics and how mathematics can contribute to other fields. Euler’s legendary skills have provided many achievements in numerous areas of mathematics such as, applying analytical methods to real world problems and geometry, as well as, other subjects such as music theory and astronomy. Leonhard Euler was born on April 15, 1707, right outside the city walls of Basel, Switzerland to Paulus Euler and Margaretha Brucker (Gautschi, 2008). However shortly after, he and his parents moved a short distance away to a town called Riehen (O'Connor & Robertson, 1998). There, his father, Paulus Euler was a minister and studied mathematics under the famous Jakob Bernoulli (Gautschi, 2008). Since Paulus had an interest in mathematics and was quite knowledgeable, he taught Leonhard his first schooling in the subject. From there, Leonhard was sent to a Latin school in Basel around the age of eight, where he lived with his grandmother (Gautschi, 2008). Unfortunately, he learned very little in the school so his father hired him a professional tutor, by the name of Johannes Burckhardt (Gautschi, 2008). Accordingly, Johannes was a young theologian who also expressed enthusiasm for mathematics (Gautschi, 2008). Even though, Leonhard displayed a fond interest in math, his father wanted him to follow his footsteps in the ministry. Therefore, he enrolled into the University of Basel where he took philosophy, at the age of thirteen. Also, taking classes under the mathematician Johann Bernoulli, Euler’s passion for mathematics caught the attention of the professor, and he encouraged him to study the texts on his own (Gautschi, 2008). Even so, “Euler completed his Master's degree in philosophy having compared and contrasted the philosophical ideas of Descartes and Newton” (O’Connor & Robertson, 1998). Euler began his study of theology later that year of 1723 (O’Connor & Robertson, 1998). However, Leonhard felt that he was destined for a career in mathematics rather than, theology. Therefore, with the help of Bernoulli who believed he had great potential, Euler was able to return to his passion in mathematics. Following this, by 1727, the young graduate had a paper in print, “a short article on isochronous curves in a resisting medium”, and had won second place in the Paris Academy contest for best arrangement of masts on a ship (O’Connor & Robertson, 1998). Accomplishing such great things at a young age, Euler applied himself to the Academy of Sciences in St. Petersburg, and expectantly, focused in mathematical science. There, he met the Secretary of the Academy named Christian Goldbach, who was best known for his hypothesis in number theory (Gautschi, 2008). Meeting Goldbach, proved to be a good thing for Euler as Finkel (1897) writes, “he carried the integral calculus to a higher degree of perfection, invented the calculation of sines, reduced analytical operations to greater simplicity, and threw new light on nearly all parts of pure or abstract mathematics” (p.298). Although unfortunately, after a series of health concerns, Euler lost sight in his right eye, ending his time in St. Petersburg. He then, set off to Berlin, accepting an invitation from the Prussian king Frederick II (Gautschi, 2008). Between the time of his invitation, and the time…
Being one the most astounding formulas in mathematics, Euler’s identity is popularly called God’s equation. Some people also go as far as calling it the mathematical equivalent of Da Vinci's Mona Lisa or Michaelangelo's David.
Named after Leonhard Euler, the formula establishes the deep relationship between trigonometric functions and complex exponential functions.
According to the formula, for any real number x,
In the above formula, e is the base of the natural logarithm…
performed significantly worse on math achievement measures than girls who did not and boys overall.
Germain taught herself mathematics by using books from her father's library. In the book Women in Mathematics, Lynn Osen says that Germain "spent the years of the Reign of Terror studying differential calculus" while confined to her home. During a lifetime of research in mathematics, she made important contributions to the areas of number theory and mathematical physics, including being one of the first…
to “stand out” yet having a more in depth knowledge about computers as a whole. < (This sentence needs to be reworded) Having the proper foundation is very important.
The requirements to earn Bachelors from the Department of Natural Science and Mathematics include Science, Math, and Computer Programming courses. These classes provide the basis for success in any related career path you travel.(Start going into detail on what the courses offer and how they relate to me personally)…
Early one morning in the halls of a typical mathematics department, Katie, a graduate student in the field of higher category theory, walks into her final exam for grad algebra 1. She had enough sleep the previous night, and feels confident about her abilities. The first question is a routine application of Nakayama’s lemma, and the next an exercise in computing a group. After half an hour of deftly dealing out solutions, she comes to the last item:
Explain the importance of module theory in ring…
others, you sent it to the Library of Alexandria. Meanwhile, many mathematicians includes Euclid, Archimedes, Eratosthenes, Heron were active or have their master piece in Library of Alexandria. It is them who build the foundation of contemporary mathematic.
Euclid was the most distinguished mathematicians. When Ptolemy I, he was a teacher in school of Alexandria. Library of Alexandria includes many of the Euclid authentic originals, including 'The Elements'.…
Mr. Matthew BarcusBasic Mathematics
June 6, 2006
Intergrading 21st Century with Mathematics
The opportunity to study mathematics 150 years ago was unequal. All students studied arithmetic but Mathematics was only taught to a few “college bound elite” (decd.sa.gov.au). Women and minorities were excluded, which pushed children in one direction or another from the earliest of grades. The first school in Britain in 1837 was one classroom built to hold 300 boys, girls were taught…
Math 110: An Introduction to the
Mathematics of Voting
What’s The Problem?
1: Math 110: An Introduction to the Mathematics of Voting
The Plurality Method
The simplest and perhaps most common (?) method of deciding an election between
candidates is the familiar plurality method.
DEFINITION 1.1 (Plurality Method). In the plurality method, each voter selects one
candidate on the ballot. The winner is the candidate with the most votes. Note that
shortest amount of time.
In order to figure out a logical way of maneuvering the New York City subway system, it is necessary to first understand a little background information on graph theory and different types of paths that can occur. “In mathematics and computer science, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects.” (Wikipedia, Graph Theory) Every graph has different aspects that make it unique, however, a graph in…
“Eureka!” Archimedes is one of the three greatest mathematicians of all time, next to Isaac Newton and Carl Gauss. He was born in 287 BC and died in 212 BC, living about 75 years. During his lifetime, Archimedes made many contributions toward modern mathematics. All of his mathematical discoveries were so important that we still talk about him today.
Archimedes is believed to have been born in Syracuse, Sicily. He was the son of an astronomer named Phidias. Archimedes’ education came from a place called…
The History of Mathematics
“Mathematics”, in definition, is the study of relationships among quantities, magnitudes and properties, and also of the logical operations by which unknown quantities, magnitudes, and properties may be deduced.
It has been in use nearly since the dawn of man, with evidence of counting beginning around 50,000 B.C.E. Mathematics has since become fundamental to various studies such as science, engineering and philosophy.
The Discovery & Cultivation…