geographically

Geographically

1. Mesopotamia

Ø Invented numerical system, heavy system and measuring system

Ø Recognized about mathematical such as zero draft and the division of circle into 360⁰

Ø Firstly, the numerical system symbolized by the palm leaf rib carving at the clay. The number of 1 – 10 symbolized by horizontal palm leaf rib and tens and the multiplication symbolized by vertical palm leaf rib

Ø At 2500BC decimal system wasn’t used anymore and palm leaf rib was substituted by the notation formed wedge

2. Babylonia

v Used the decimal system and π = 3,16

v The Babylonian people was the inventor of calculator

v Recognized Geometry as the basic of astronomic calculation

v The Babylonian people used approach for root of quadrate and number of zero and number of zero quadrate such as 17⁄12 for √2

v The geometry is algebraic

v The Babylonian arithmetic had grown well became the theorist algebraic, it had been solved the similarity of quadrate by the equivalence and the substitution

v The Babylonian known the geometrical that the triangle drawed an a half of circle has right angle

3. India

o Brahmagypta introduced the negative number, zero, and the similarity of quadrate solving

o Brahmagypta discovered the relation around circle

o Aryabrata discovered “stanam – stanam gunard”, means that the basic of modern decimal rotation

o Brahmagypta discovered the negative number

o Subasutra was the inventor of the first formula a²+b²=c²

o The geometry is almost based on the experience and generally deal with the measurement

4. Ancient Greece

Pythagoras proved the Pythagoras formula

The next person continued the first draft 0 was Al – Khwarizmi

Archimedes discovered the name of parabola means that cone right angle part

Apollonius was the initiator{used that} of the fast calculation

Diophantus was the inventor of arithmetic ( analysis discussion about theories and number contained the developing of algebra by making a similarity)

Archimedes discussed geometry of flat field

Archimedes the inventor of formula L=√S(S-a)(S-b)(S-c)

The beginning of ball trigonometry

Recognized the first rate number

Hipassus was the inventor of the irrational number

5. Ancient Egypt

· Recognized the numerical system and symbol at 2100BC

· The carefulness researching at 2700BC

· Recognized the triple of Pythagoras ( right angle )

· The Egypt numerical system was addictive design from arithmetic

· Used several symbol in the Egypt algebraic

· Recognized the theorem of Pythagoras

· Used the number in the Papyrus Moscow

· Recognized 2 of the numerical system, hieroglyph and digital

· It had reached the carefulness researching at 2700BC

6. China

ü Recognized the characteristic of the right triangle

ü The beginning of 11BC century, develop the negative number, the decimal number, the decimal system, the binger system, algebra, trigonometry and calculus

ü It had discovered the method to solved several kinds of similarity, those were the similarity of quadrate, cubic, and quatic

ü The algebra used the horner system to solved the degree of similarity

Figure

1. Thales (624 – 550 BC)

v The inventor of the standard comparison of the triangle characteristic 3 : 4 : 5

v The applied scientism had been discovered by Thales

v The inventor of the theorem or proportion

2. Pythagoras (582 - 496 BC)

· The first initiator that axiom postulates have to be explained firstly in the developing of geometry

· He was successful prove the theorem of Pythagoras for the first time and being the best

3. Eodoxus (408 – 355 BC)

Ø Developed the theory of proportion

Ø He had made the definition about view forecast an irrational number by crossed multiplication

4. Euclid’s (330 – 275 BC)

§ Added the new theorems : curves, circles, and another form were learned likes the straight line and flat field

§ Learned the first rate number and the other was not

§ Never successful determining the first rate number, but he was successful gave the answer about it. It was unbounded

5. Archimedes (287 – 212 BC)

His interest on original mathematic : numeric, geometry, calculated the wide of geometrical forms

Was successful applied the mathematic

He had tried to calculated the wide of parabola, ellipse, hyperbola, and determined the gravity centre on a half circle or circle

6. Diophantus (200 – 250)

o Wrote the arithmetic contained the developing of algebra by making several similarity

7. Al Khwarizmi (780 – 850)

ü The great successful in algebra and astronomy

ü The algebra started by the definition of numeric principles and gave the solution

ü Six chapters he wrote divided in to six types of similarity include 3

8. Fibonacci (1170 – 1250)

§ Recognized the number of zero and calculated the unusual nature patterns, and gave the basic of introducing algebra to the western

§ Discovered the numerical row name Fibonacci : 1, 1, 2, 3, 5, 8, 13, 34, 55, 89, 144, 233, 377, 610, 987

9. John Napier (1550 – 1617)

v Discovered the logical basic draft

10.Rene Descartes (1596 – 1650)

o Connected Algebra and Geometry. The similarity of Algebra can be expressed into geometry formed, the form : ellipse, hyperbola, parabola

11.Isaac Newton (1642 – 1727)

Ø Idea of calculus started from Newton, because he saved most of his idea, so Leibniz came with the more brilliant idea and the familiar notation

12.Jean Baptize Joseph Fourier (1768 – 1830)

Learned about trigonometry and theory of function variable real