Why Do We Use Quadratic Equations?

The Pythagorean School, for example, contributed many ideas to the mathematic community, among them, studies of geometry and the theory of proof.5 Euclid also lived in the time of ancient Greece and became a prominent mathematician, as well as author of a book about geometry called, The Elements, considered the second best-selling book of all time.6 The works of Pythagoras and Euclid have become fundamental building blocks for any person with an eighth-grade understanding mathematics. With these advancements, as well as innovations from Archimedes and Apollonius of Perga, Islamic scholars translated their works and contributed even more, growing the worldwide understanding of mathematics.7 Greek progressions in geometry as well as the theory of proof contributed greatly to our ultimate understanding of contemporary mathematics, without which, our modern society would be

We live in an extremely busy and dynamic world where its aspects are always changing. When looking at the things going on around you, it is unfathomable to think that everything has its own way of working and being. Many question what it is that allows the numerous parts of the world to work together so harmoniously. The answer to this question for most people is religion, such as Christianity. However, for the philosopher Pythagoras, this is not the case. To him the answers to anything in the world could be discovered using mathematics. When looking at Pythagoras and the recently released movie, Hidden Figures written by Allison Schroeder and Ted Melfi, it is evident that with the right formula mathematics can be used to solve anything.

According to document 4, Al-Khwarizmi, a Muslim mathematician wrote a textbook in the 800’s about algebra which was later adopted throughout Europe. Muslim mathematicians also adopted Arabic numerals from Indians and used them in place-value system. (Doc. 4) These mathematical advances also led to the creation of simple yet complicated structures. Also, after using their observations and their understanding of mathematics, Muslim scholars were able to make an advancement in mapmaking. They used astrolabe and armillary sphere to help study skies and make calculations for calendars and maps. (Doc.

Muslims greatly advanced the study of mathematics. Arabic numerals, the numbers the Western World uses today, were developed by the Muslims. Compared to earlier systems, such as Roman numerals, they made it easier for people to do calculations and check their work. Muslims also spread the Indian concept of zero. Zero also made it easier to write large numbers. Muslim scholar, Al-Khwarizmi, is best known as the “the father of Algebra”. Al-Khwarizmi’s famous book on algebra was translated into

Algebra is the basis of all math and its advancement took place in three major steps. The first stage of algebra is rhetorical algebra dating back to before 275 BCE. Rhetorical algebra was a form of algebra that contained no symbols so to them +,-, and*, did not exist. It was usually explained orally or written on scribes. They were able to do things such as find squad and cubed roots, solve linear equations, and explain fractions. As well as recognizing irrational numbers and identifying that quadratics had two answers. The next phase in algebra’s evolution was Syncopated math. This was most popularly used between 275 BCE - 1600. Diophantus played a crucial role in this stage by being the first to develop algebraic notations and abbreviations.

Without the Muslim advancement on location and time people would be walking in circles. Without the Muslim cites having observatories and increase on astronomy, most likely people would of never knew about space and the far away planets. The three most influential Muslim innovations that have changed the world consist of mathematics, geography, and architecture.

Islam's had different discoveries in relation to mathematics, science and literature. During Iraq’s golden age Whitaker stated, “...scholars of various religions from around the world flocked to the Bayt al-Hikma (house of Wisdom) and unrivalled center for the study of humanities and for science, including mathematics, astronomy, medicine, chemistry, zoology and geography, as well as more dubious subjects such as alchemy and astrology. Islam had further knowledge in mathematics and the combinations of other

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

For my mathematical exploration I will be comparing a piece of Renaissance art with a modern logo and showing the mathematical principles each artist utilized to create a harmonious and balanced composition. This exploration entails a discussion of geometric forms, the Fibonacci Spiral, and the Golden Ratio.

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

* He helped to distinguish between pure and applied mathematics by widening the gap between "arithmetic", now called number theory and "logistic", now called arithmetic.

Woman in mathematics are so common now days that we have forgot who the first ladies were and what they did. These woman did a brave thing, by making people look differently at the math field. These ladies make a big difference on the world and how woman are looked at in the math world. Maryam Mirzakhani and Maria Agnesi are only two of the many ladies that inspired all of the woman to enter the math field.

Omar was also a poet, philosopher, and astronomer. Omar’s works were translated in 1851, which was research on Euclid’s axioms. In the medieval period, he expanded on Khwarizmi’s and the Greeks mathematic works. He only worked with cubic equations only and focused on geometric and algebraic solutions of equations. In 1145AD, Al-Khwarizmi’s book was translated by Robert Chester, which made it possible for algebra to be introduced to Europe. After algebra was introduced in Europe, European mathematicians developed and expanded on algebra concepts. Even though algebra began in the Arabic countries, once European mathematicians obtained the information of algebra, they became the leaders of mathematical discoveries in the world (“Mathematics”).

Al Ghazali was a Sunni and Sufi philosopher of the 11th and 12th century, during the Golden Age, a period of great economic growth and stability and a time when both knowledge and power was at its peak. He was born in 1058 AD in Tus, Persia and impacted greatly upon the Islamic faith, particularly toward Sunni and Sufi members; they know him as ‘the Proof of Islam’. Al Ghazali provided a positive impact upon the Islamic faith and its million of devotees and still continues to do so today through his many works.

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