Mathematical Connection Essay

Firstly, math and science were greatly impacted by the discoveries of the Islamic empire and its scholars. Arabic numerals and the place value system were invented to simplify math from the previous Roman numerals (Noonan, 2007). These are both used in our time and are what enables us to understand math better. Along with the change of numerals, there were also the ideas of Algebra, Trigonometry, Engineering, and Astronomy (Gardner, 2001). All of these discoveries and ideas are highly important subjects in our modern world and have shaped our society.

One of the concepts that arose out of mathematics was economics and the Romans were able to carry out trade on a better level. This gave a boost to the Roman Empire and the politicians were able to use mathematics to their advantage.

George Friedrich Bernhard Riemann, born in Breselenz, Germany, was a prominent and influential mathematician during the nineteenth century. At a young age, Riemann was recognized by his teachers for his swift grasping of complicated mathematical operations. Riemann attended the University of Gottingen where he developed a strong foundation in theoretical physics from Johann Listing and other notable professors. Riemann introduced concepts of mathematical importance such as the complex variable theory, analytic number theory, and differential geometry. Revolutionizing the field of geometry, Riemann set foundations for theoretical physics, modern topology, and the general theory of relativity.

Abstract— Today we use many concepts passed down from generation to generation to solve our physics, mathematics and other general problems. We use concepts that originated in the minds of great mathematicians such as Newton, Leibniz, the Bernoulli family of mathematicians and many others. In the 18th century we find the mathematicians started to structure and format the way we prove solutions. These mathematicians started creating the laws that govern our work and how we go about solving daily problems. During this time we saw the development of calculus and a great deal of progress in the fields where quantities vary such as physics, astronomy, and medicine using these new formats. This paper focuses on the life of Leonhard Euler, a

Like each other part of human advancement, mathematics has its own particular birthplace focused around the needs of humanity in searching for understanding. Mathematics emerged from the necessity to quantify time and number. The earliest evidence of counting occurred in mountains of Africa were notched bones and scored pieces of wood and stone were discovered. As human advancements started to surface in Asia and the near east, frameworks and essential appreciation of arithmetic, geometry and polynomial math started to develop. Mathematics has made a lot of progress from the first evidence of counting in 50,00 B.C to the current utilization of math all over the place from cellphones and machines to dating of old ancient rarities and adjusting

Ignored by most historians is how the view of math changed among practical math users due to a shift in textbooks. Textbooks shifted from math as a simple daily tool, to “useful

In Mathematics is an integral part of of computer science and computer programming. A great example of this would be how algorithms for computer programs are directly taken from a mathematics stand point. They are used for calculations and data processing. In the book Nine Algorithms that Changed the Future by John MacCormick, the author takes the reader through different algorithms that have made a significant impact on the internet and computer science as a whole. None of these algorithms would even be possible if it was not for applied or pure mathematics.

Throughout my research of mathematicians, I realized that some mathematicians had different backgrounds and were from different time periods. The first mathematician, I will discuss goes by the name of Rene Descartes. First and foremost, according to the eBook, The 100 Most Influential Philosophers of All Time, Descartes came into this world in La Haye, Touraine, France on March 31, 1596. At the age of one his mother died and afterwards his father remarried leaving Descartes in La Haye to be raised by his maternal grandmother and then by his great uncle. During 1606 he got sent off to a Jesuit college. Soon after during 1614 Descartes went to Poitiers, where he pursued a law degree.

Leibniz was one of the most brilliant and prolific intellectuals ever; and his influence in mathematics (especially his co-invention of the infinitesimal calculus) was immense. His childhood IQ has been estimated as second-highest in all of history, behind only Goethe's. Descriptions which have been applied to Leibniz include "one of the two greatest universal geniuses" (da Vinci was the other); "the most important logician between Aristotle and Boole;" and the "Father of Applied Science." Leibniz described himself as "the most teachable of mortals."

Boyer, C., & Merzbach, U. (1991). A history of mathematics (2nd ed.). New York: Wiley.

Throughout history science and math have made incredible advances to make what we are today. All starting with the booming scientific and other educational pushes in the Middle-Ages. Increasing breakthroughs in these times of Science, math, and literature. Just beginning with theories, innovations, and philosophies of the Middle-Ages. Without the brilliant minds that were enormous inspirations and made many great discoveries.

In fact, he has invented analytical geometry which combines geometry and algebra. Issac Newton has formed the theory that interprets the law of motion. This law is recognized as the law of universal gravitation. There has also been an increase in the amount of new tools and materials. Zacharias Janssen created a new and improved microscope. It is currently being used to observe microscopic objects that you wouldn’t be able to see with a naked eye. There have been a wide variety of scientific tools that serve different purposes. The following are a collection of tools that share similar characteristics: mercury barometer, thermometer, and another scale for the thermometer. The thermometer is perceived to show temperatures in different weather conditions. These new methods, scientific tools, and theories are beginning to make an impact on the science community.

Leibniz and Newton pulled these ideas together into a coherent whole and they are usually credited with the independent and nearly simultaneous invention of calculus. Newton was the first to apply calculus to general physics and Leibniz developed much of the notation used in calculus today; he often spent days determining appropriate symbols for concepts. The basic insight that both Newton and Leibniz had was the fundamental theorem of calculus.

Modern Times has brought a wide range of systems and methods of mathematics. The beginning of mathematics had focused on geometry and forms of mathematics, but then during the 16th and 17th century, algebra started to be known and practiced. Mathematics begin to get more diverse in early modern times. Throughout the history of algebra, many mathematicians were very focused on finding solutions to problems and different methods to carry out mathematics. In early 19th-century practices makes mathematics was based on physical variables. People were concerned with abstract algebra with situations involving applied mathematics or physics that had expanded to include abstract algebra. These methods and techniques were able to influence what people do today in different areas of life. Without algebra solving complicated equations would not be possible, or it would be more complicated than what it is today. Algebra is a main part in what our world is today and without its

Mathematics has contributed to the alteration of technology over many years. The most noticeable mathematical technology is the evolution of the abacus to the many variations of the calculator. Some people argue that the changes in technology have been for the better while others argue they have been for the worse. While this paper does not address specifically technology, this paper rather addresses influential persons in philosophy to the field of mathematics. In order to understand the impact of mathematics, this paper will delve into the three philosophers of the past who have contributed to this academic. In this paper, I will cover the views of three philosophers of mathematics encompassing their