some big discoveries. In order to go back to the first signs of Algebra‚ we have to go back over 3700 years‚ to the Babylonian civilization. Babylonians were particularly proficient algebraists and in the ancient civilizations they could solve quadratic problems (Kleiner‚ 2007). Records show that in 1600 B.C equations and symbols were not used in these problems‚ rather they were written out and solved verbally (Corry‚ 2005). Corry’s (2005) study found that a typical example of a problem made by
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exponents ��n ��m = ��m+n ‚ (��m )n = ��mn Square roots √��2 =|��| (����)n = ��n �� n ‚ �� �� �� �� = ����−�� = �� ��−�� ���� �� ≠ 0 ‚ ( )�� = �� �� �� �� ���� ‚ ���� �� ≠ 0 Geometry Review �� 2 = ��2 + �� 2 Pythagorean Theorem Geometry Formulas 1 Area = LW Perimeter = 2L + 2W Area = 2bh Circumference = 2πr = πd Area = π�� 2 Volume = LWH Surface area= 2LW+ 2LH+2WH Volume= π�� 2 ℎ =π�� 2 ℎ + 2πrℎ Surface area= Volume= 3 ���� 3 4 Surface
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PROJECT ABOUT FERMAT ’S LAST THEOREM I am going to do my project in the field of number theory. Number theory‚ a subject with a long and rich history‚ has become increasingly important because of its application to computer science and cryptography. The core topics of number theory are such as divisibility‚ highest common factor‚ primes‚ factorization‚ Diophantine equations and so on‚ among which I chose Diophantine equations as the specific topic I would like to go deep into. Fermat
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Anmol Mehrotra Pythagorean triples Math Bonus A Pythagorean triple consists of three positive integers a ‚ b ‚ and c ‚ such 2 2 2 that a + b = c . Such a triple is commonly written ( a ‚ b ‚ c )‚ and a wellknown example is (3‚ 4‚ 5). If ( a ‚ b ‚ c ) is a Pythagorean triple‚ then so is ( ka ‚ kb ‚ kc ) for any positive integer k . A primitive Pythagorean triple is one in which a ‚ b
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6 – TRIGONOMETRY TOPIC 7 – GEOMETRY PROOFS TOPIC 8 – PROBABILITY REVISION TOPIC 9 – GRAPHING REVISION TOPIC 10 – FURTHER GRAPHS TOPIC 11 – TRIGONOMETRIC EQUATIONS AND IDENTITIES TOPIC 12 – GENERAL REFERENCE and YEARLY REVISION TOPIC 13 – QUADRATIC THEORY TOPIC 14 – LOGARITHMS TOPIC 15 – RADIAN MEASURE TOPIC 16 – ABSOLUTE VALUES JAMES RUSE AGRICULTURAL HIGH SCHOOL YEAR 10 PROGRAMME OBJECTIVES: To consolidate year 9 work‚ particularly algebra and geometry and introduce a wide
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HISTORY OF ALGEBRA M AT H 1 WHAT IS ALGEBRA? • Denotes various kinds of mathematical ideas and techniques • more or less directly associated with formal manipulation of abstract symbols and/or with finding the solutions of an equation. HISTORICAL OBJECTIVES 1. attempts to deal with problems devoted to finding the values of one or more unknown quantities. 2. the evolution of the notion of number 3. the gradual refinement of a symbolic language THE SEARCH OF “EQUATION” • Egyptian Mathematics
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time period in which Pythagoras graced his presence on Earth happened so long ago that research on Pythagoras and his mathematical concept were not documented. This is important because many researchers argue if Pythagoras really came up with the Pythagorean Theorem or if it was just a legend or Greek story. After researching this topic‚ I have found that Pythagoras was more than just a “Greek story”. Pythagoras was born in the Samos Islands of Samos. Samos is a Greek island that is found beside
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sub-sections such as calculus‚ geometry‚ trigonometry and algebra. Who was Pythagoras? Pythagoras was born in 570 BCE in Samon‚ Ionia‚ and died 500-490 BCE. He was a Greek mathematician and philosopher who is greatly known for his creation of the Pythagorean theorem. His principles influenced the work of Aristotle and Plato. Pythagoras migrated to
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influenced a group of early Greek scientific and religious thinkers‚ the Pythagoreans. They believed that the soul was immortal and separable from the body. Because they believed that the soul was reincarnated in different animal bodies‚ they practiced vegetarianism. The group was almost cult-like in that it had symbols‚ rituals and prayers. In addition‚ Pythagoras believed that "Number rules the universe‚" and the Pythagoreans gave numerical values to many objects and ideas. These numerical values
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Aryabhata (476–550 CE) was the first in the line of greatmathematician-astronomers from the classical age of Indian mathematics and Indian astronomy. His most famous works are the Aryabhatiya (499 CE‚ when he was 23 years old) and the Arya-siddhanta. Name While there is a tendency to misspell his name as "Aryabhatta" by analogy with other names having the "bhatta" suffix‚ his name is properly spelled Aryabhata: every astronomical text spells his name thus‚[1] including Brahmagupta’s references to
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