The graph has 4 points of intersections with the ‘y=x’ and ‘y=2x’. Like the graph of x2 the graph of x4 provides four points of intersection. Therefore we can use the formulae D = | SL - SR | Bibliography IGCSE Mathematics – Pimentel & Wall IBDP Press Mathematics Higher Level [Core] – Nigel Buckle & Iain Dunbar
By the time the Babylonians and Egypt developed their mathematics; Indians had worked independently and made an advanced mathematical discovery. During the early time of Indian, they were already familiar with arithmetic operations such as addition, multiplication, subtraction, multiplication, fractions, squares, cubes and roots. The evidence of using Pythagorean triples was also traced as part of Hindu mathematics long before Pythagoras. The Indian text known as “Sulba Sutras” contains a geometric
Sir Isaac Newton was one of the greatest Physicist and Mathematician who has ever walked on planet earth.He is well-known for formulating the three laws of motion knowns as “Newton's laws of motion”, as well as the inventor of Calculus etc. Joseph Raphson was one of the greatest Mathematician known best for Raphson method which was published in 1690.It appeared that Isaac Newton had developed an identical formula known as the Newton's method that he wrote in 1671 but this method could not be published
Finding roots of a function is often a task which faces mathematicians. For simple functions, such as linear ones, the task is simple. When functions become more complex, such as with cubic and quadratic functions, mathematicians call upon more convoluted methods of finding roots. For many functions, there exist formulas which allow us to find roots. The most common such formula is, perhaps, the quadratic formula. When functions reach a degree of five and higher, a convenient, root-finding formula
Cube Shaped Boxes and Supermarket Displays Introduction The question: Boxes made in the shape of a cube are easy to stack to make displays in supermarkets. Investigate! Plan ==== I will carry out this investigation by following these points: 1. Simplify the question by using 2-d shapes. 2. Draw 2-d designs. 3. Draw 3-d designs. 4. Evaluate my work. Detailed Plan To investigate each shape I will follow a pattern: 1. I will state which shape I am investigating
consisting of once illiterate nomadic warriors could have a profound impact on the field of mathematics. Yet, many scholars credit the Arabs with preserving much of ancient wisdom. After conquering much of Eastern Europe and Northern Africa the Islamic based Abbasid Empire transitioned away from military conquest into intellectual enlightenment. Florian Cajori speaks of this transition in A History of Mathematics. He states, “Astounding as was the grand march of conquest by the Arabs, still more so was
Mohamed was born. Ahmes wrote the Rhind Papyrus that described the Egyptian mathematic system of division and multiplication. Pythagoras, Euclid, Archimedes, Erasasth, and other great mathematicians followed Ahmes (“Letters”). Although not very important to the development of algebra, Archimedes (212BC – 281BC), a Greek mathematician, worked on calculus equations and used geometric proofs to prove the theories of mathematics (“Archimedes”). Although little is known about him, Diophantus (200AD – 284AD)
In advisory, I have learned about others, and I have made a lot of friends. In advisory, I talked to a lot of people that I never knew I would become friends with. I have grown in my advisory class because I have met a lot of students that I have never met before. Next year I want to get closer to some people from the same advisory as me. I am struggling in being more social with the people in my advisory because I am very shy and do not talk to a lot of people. I loved how in this time we had time
why equinoxes varied from year to year. He was among the first to study the speed and velocity of moving objects, and added a ninth planet to Ptolemy’s model of the planets. It was not only due to individual efforts that allowed the Golden Age of Islam to uncover so much about astronomy, but a collaborative effort as well. A huge astronomy project sponsored by caliph al-Mamun in the capital of Baghdad and the major city of Damascus discovered and fixed inconsistencies in several older theories and
Madrassas are institutions of higher Islamic education which first originated in the medieval period. Madrassa has existed in Assam for centuries and has played a vital role in shaping the spiritual thought of the Muslims in Assam. And further it has also succeeded in providing education of various factors such as social, psychological, economical, political, etc. The term “Madarsah” is derived from an Arabic word “Dars” which means “a lecture or a lesson”. Eminent scholars or learned teachers conducted
and sections” (Hoodbhoy 11). Our world has been dramatically transformed by scientific advancements that were achieved in Europe during the sixteenth, seventeenth, and eighteenth centuries. These scientific revolutions began with Arabic culture in Islam during the Islamic Golden Age. During this time, Islamic Science transformed scientific knowledge when Muslims acquired Greek written works and began their study and translation in Arabic to later create the foundation of a newer, more knowledgeable
From the 8th century to the 12th century, medieval Islam was at the height of its “golden age”. The latter is also referred to as “classical Islam”. Thanks to a documentary entitled Lorsque le Monde parlait Arabe as well as the readings from Buresi’s Geo-histoire de l’Islam, this paper will discuss this “golden age” of Islam, as well as the unique facets of this early Islamic civilization. Two questions arise when observing this subject: Firstly, what would explain the fact that philosophy ceased
GLOBAL 9 MEDIEVAL TIMES ESSAY WAS THE TIME PERIOD BETWEEN 400 AD AND 1400 AD A “DARK AGE” FOR EUROPE? WAS THIS TIME A CULTURAL DECAY AND DECLINE? The Medieval Times for Europe, from the 400 AD till 1400 AD, are often labeled as “The Dark Ages”. This time period has begun after a turning point known as Fall of Rome. It caused Rome to divide into two well-known civilizations: Medieval Europe, Islam, and The Byzantine Empire. Also, Medieval Europe led to a well known utopian period of “rebirth” identified
The many scientific, mathematical, and medical advancement in the Islam Empire during the Abbasid Dynasty in the capital of Baghdad shaped Islam into becoming one of the most influential and intellectual empires. The House of Wisdom brought scholars from all over to Baghdad where they could make new innovations that would influence the surrounding areas such as Europe, and China. These many achievements showed the progression of history as the Islamic Empire thrived in knowledge and shared it with
Islam and Science The 6th century Islamic empire inherited the scientific tradition of late antiquity. They preserved it, elaborated it, and finally, passed it to Europe (Science: The Islamic Legacy 3). At this early date, the Islamic dynasty of the Umayyads showed a great interest in science. The Dark Ages for Europeans were centuries of philosophical and scientific discovery and development for Muslim scholars. The Arabs at the time assimilated the ancient wisdom of Persia and the classical heritage
Surrounded and faced threats of the barbarian tribes, the Roman Empire could no longer hold firm and just collapsed. The western part became the new Germanic world, where the growth of Latin Christendom, a distinctively Western institution founded. The eastern part was the worlds of Byzantine and the Islamic world. This is clear that this is the Middle Ages as there were absences of central government, ongoing invasions, constant threats of famine and diseases. “The term Middle Age refers to the
The Islamic World emerged in Medieval Europe during the seventh and eighth centuries corresponding to the development of Latin Europe and Byzantium. The new religion was slowly absorbed at first, but eventually grew rapidly along with the vast expansion of the territory. It all started when Muhammad, a traveling sail man in the city of Mecca, became the last prophet of God's final and perfect revelation: the Qur'an. Angel Gabriel told Muhammad to recite the teachings in the Qur'an-written by God
speaking, their impact has been destructive and short-lived. The Arab conquests, from 632 onwards, of the Middle East and North Africa brought about certain consequences. Alone among other nomad warriors, the Arabs brought with them a dominant religion, Islam, and this in its train contributed a written language of high culture and, later, of administration. Arabic had become a language of religion and government, as well as the spoken vernacular of almost the entire population from the Zagros Mountains
socially. They did this regardless of their historical differences. They understood Islam as a comprehensive code for spiritual and material life. The Quran also offered guiding principles on social relations and commerce. Examples of commercial teachings are the rules of contract, finance, business, zakat and ethical rules for conducting business and writing contracts (Nigam, 1986). From the year 700 to 1200 Islam led the world in power, organization, and extent of government; in social refinements
The medieval Islamic world of science started as a controversial field to be working in. The scientific practices went against the beliefs of the people because it stated things that were the opposite of the readings in the Koran. Religious peoples said that Allah created everything in existence himself while scientists said that everything occurred naturally. Even though there was conflict over the beliefs of the people, the Islamic scientists still managed to prosper and produce a Golden Age of