mathematics was the common subject‚ “whereas theoretical and argumentative mathematics were reserved for specialists” (Abedljaouad‚ 2006‚ p. 629). Between the eighth and the fifteenth centuries‚ Islamic civilization produced a series of remarkable mathematicians. Among them was Ghiyath al-Din Jamshid Mas’ud al-Kashi. Following this dichotomy‚ al-Kashi designed his book for use by students who were looking to apply mathematics in their professions. The book does not contain any theoretical proof for any
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When mathematicians‚ historians‚ and scientists say that they have explained something‚ are they using the word explain ’ in the same way? Marcel Wallace IB #001089 TOK #1(Final Draft) Word Count: We all have ways of acquiring information about the complex world in which we live. Mathematicians‚ historians‚ and scientists each have their own respective procedure of determining truths and justifying their judgments. Each uses their own Area of Knowledge to present findings and explain
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important scientists of classical antiquity. Archimedes was a mathematician with much fame whose philosophies became known all over the world. He gained the reputation that he had on his own clock. Not many other mathematicians of his time achieved that accomplishment. Archimedes was so brilliant that he is still considered by most historians throughout time as one of the greatest mathematicians of all time. Archimedes was a mathematician and inventor of Ancient Greece born on 287 B.C. in Syracuse
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why‚ and how. In the area of mathematics‚ the usage of ‘explain’ is in that of a result of a rational deduction. The main questions mathematicians ask are why and how. By answering these questions‚ the mathematician then receives the explanation of their certain question. But the main function in ‘explaining’ an answer is to prove it. For when a mathematician wants to ‘explain’ something they first have to prove it to be correct‚ only then can they officially ‘explain’ their theory. In the
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Melody Christian Adapted Movie Essay 12/6/12 A BEAUTIFUL MIND This is a true story about a man by the name of John Nash Jr. who was discovered to have paranoid schizophrenia in his adult life. The story starts with Nash as a student at Princeton University. In a scene where John arrives at Princeton to commence his studies‚ one of the patterns through his point-of-view shot was when John connects his vision of effulgent lemons‚ a punch bow‚ and the pattern of a fellow student’s tie. In
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Math is often referred to as “the science of rigorous proof‚” which means that in order to find out if something is certain‚ you have to check for any problems that can occur in proving a theory. However‚ proofs alone are not enough to make sure that a concept is true. In order to consider if a mathematical statement is true or not‚ we can use the formal system‚ developed by Euclid. This model of reasoning includes three key elements: axioms‚ deductive reasoning‚ and theorems. To reason formally
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Archimedes was among the greatest mathematicians of antiquity. Mathematicians usually cover a breadth of topics within mathematics in their undergraduate education‚ and then proceed to specialize in topics of their own choice at the graduate-level. In some universities‚ a qualifying exam serves to test both the breadth and depth of a student’s understanding of mathematics; the students who pass are permitted to work on a doctoral dissertation. A mathematician is a person with an extensive knowledge of mathematics who
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to solve equations and expressions as well as intermediate equations. The Alexandrian mathematicians continued the traditions of Egypt and Babylon. This ancient data of equations found its way in the Islamic world‚ where it was known as the "science of rebuilding and balancing." (The Arabic word for rebuilding is Al-jabru‚ and is the origin of the word algebra.) In the 9th century‚ the Arab mathematician Al-Khwarizmi wrote one of the first Arabic algebras‚ a regular discovery of the basic theory
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not developed in Europe. Algebra was actually discovered (or developed) in the Arab countries along side geometry. Many mathematicians worked and developed the system of math to be known as the algebra of today. European countries did not obtain information on algebra until relatively later years of the 12th century. After algebra was discovered in Europe‚ mathematicians put the information to use in very remarkable ways. Also‚ algebraic and geometric ways of thinking were considered to be two
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that there are in fact infinitely many primes. In such relations‚ a mathematician will describe in example two projects that use prime numbers‚ composite numbers and the quadratic formula to solve equations. From the projects section on page 397 of Mathematics in Our World‚ for Project One‚ the mathematician will work only equations ( a ) and ( c )‚ but complete each of the six steps (a-f) and for Project Two‚ the mathematician will select a minimal of five numbers including zero (0) as one number
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