History of mathematic with Tutik_Shahida_Yanti"P.Mat NR'08"

history of mathematic

2009-01-13T06:57:00.001-08:00

Mathematic concept, mathematic problems, or solve mathematic in past epoch that still to use/ not to use in present epoch or opposite its.

1. I found mathematic concept, mathematic problems or solution of mathematic in past epoch and now is ready to use, such as :

a. Zero number of concept, that founded in past epoch in India, by Aryabhata. And use to Cacah Number of system.

b. Pythagoras theorems ( elbow ) have side 3-4-5 as sacred triangle.

c. Square wide ; K = ( a+c)(b+d)/4 with side rapidly a, b, c, and d.

Volume from pyramid that found by Egypt peoples in mathematic Moscow papyrus. That is : V_limas = {h(a²+ab+b² )}/ 3. a is base side, and line that connection base with top pyramid is b and high line is h . And if b=0, then limas of formula is V_limas = (h.a²)/3.

d. Limit function that famous with rule” L’ Hospital ”.

e. Algebra system in Mesopotamia, the shape of hyperbola according to archimedes, the elliptical in algebra equation.

2. I found mathematic concept, problems or solution of mathematic in past epoch and now is not to use, such as :

a. Circle wide = ( 8/9 x 2r ) ²

= 64/81 x r²

= 256/81 x r²

= 3,16 r²

So, at the time, Egypt people found that p = 3,16.

b. In Rhind Papyrus is about algebra and geometry. Then times with use two columns.

3. I found mathematic concept , mathematic problems or solution of mathematic in present that haven’t relation with mathematic in past epoch, such as :

a. Topologi is geometry branch and found in 20 century by Prances mathematician ( Jules Henry ). Topologi is mathematic about continuities.

b. Solve mathematic with use close problems, open-ended problems, open problems.

2008-11-30T18:29:00.000-08:00

A. Basic of Character

1. Thales ( 624 – 550 DM )

a. First person be connected with mathematic discovery
b. First mathematician the formula of theorems
c. Sue geometry to problems solve like as count the height
d. Applied science was position by Thales before Pythagoras who make numbering
e. Famous as statesman, engineer, entrepreneur, mathematician, and etc.

2. Pythagoras ( 582 – 496 DM )

a. Not discoverer of Pythagoras theorems
b. 2 as irrational number
c. Connected between music and mathematic
d. Suppose by Neoplatonis as discoverer amicable number
e. Filsafat Pythagoras basic that bulat number is effect from kind character substance

3. Socrates ( 470 – 309 DM )

a. A philosophical
b. If see with right, he not teach philosophy but philosophy life
c. Giving midwife technique
d. Purpose of philosophies to seek right be valid at the longest
e. Discoverer ideology about cosmology observation
f. Teaching Socrates direct of naturalism

4. Plato ( 427 – 347 DM )

a. Student from Socrates and teacher from Aristotle's
b. Discover learning serba cita
c. First persons that approve concept existence world not object
d. Important in Plato filsafat is idea about Utopia

5. Euclid's ( 325 – 265 DM )

a. Study mathematic at Plato academy and become a mathematic teacher
b. Famous as Mr. Geometry says number theory and geometry theorems
c. Tools of Euclid's discover are ruler and compasses
d. Subject which studied are shape, Pythagoras theorems, equation in algebra, circle, tangent, space geometry, proposi theorems

6. Archimedes ( 287 – 212 DM )

a. Counting  ( phi ) in count area circle
b. Founding formula : L =  S ( S-A ) ( S-B ) ( S-C )
c. Great mathematician every years
d. Apply physics concept and mathematic
e. His opus about 3 dimension geometry
f. Opus Archimedes about on plane equilibrium, float thing

7. Apollonius ( 262 – 190 DM )

a. The professional mathematician in geometry
b. Apollonius shared curve become 3 categories : plane loci, Solid loci, Linear loci
c. Write fast step which contain in certain instruction about technique fast counting
d. Apollonius geometries connecting some element in triangle
e. Parabola concept, hyperbola and ellipse many give contribution for modern astronomy

8. Diophantus ( 250 – 200 DM )

a. Be familiar as Mr. Algebra
b. The Greece mathematician which live in Scotland
c. His work are arithmetical book, first arrangement book about Algebra system
d. The part which protected from Diophantantus arithmetic have content solution approximately 130 question that product equations first and square equation

2008-11-27T23:18:00.000-08:00

History of Mathematic

A. With Geometries

1. Mesopotamia

a. Can make equation with variable-variable and solve equality square and equality cubic

b. Mesopotamia discover number system of first time

c. Heavy system and measure system

d. Finding number system basic from number location (number system with basis 60, sexodecimal). First time with symbol cetakan lidi or alang-alang

e. Before 2500 DM was times table, usually do to area count

2. Babylonia

a. Algebra Retoris, was solve square equality, equality to be three and bi square

b. Geometry using character-character algebra is write method indicate that Babylonia state know about several Algebra rule general

c. Using decimal system and phi ( p ) = 3, 125…..use nearly square root and non square number

d. First time discover of calculator

e. Related with practice count and algebra character

f. Using position system but not yet perfect

g. Was know if every triangle on half circumference having a 90-degree angle

h. Know geometric like as astronomy count basis

i. Arithmetic haven't algorithms for long division

j. Know Pythagoras theorems

k. Number using sexagonal number system

3. Egypt Kuno

a. Value phi ( p ) = ²⁵⁶ /₈₁

b. Know two number system is hieroglyph and digital

c. Nothing 0 number because all number is times 10

d. Written from number system using special number to every kelipatan number ( number hieroglyph system )

e. In arithmetic system there is times, divide, that couple using principle duplication basis and solve equality system in algebra

f. Mathematic Egypt more lower than Babylonia

g. Know triple Pythagoras

4. Greece Kino

Proof a theorems of Pythagoras
Discover ball trigonometry
Finding fast count technique ( Appolonius )
Discover first concept 0 ( Al – Khwarizmi )
Using mark to empty location in 0 number
Superior in astronomy so geometry rapid develops
Discover name of parabola is part from cone right corner ( Archimedes )
Greece mathematic give important contribution to idea about theory number, applied analysis mathematic
Explain geometry flat plane ( Archimedes ) and discover formula

L = Ö { S (S-A) (S-B) (S-C)

5. India

Number 0 use to mark empty location
Nothing postulate develop and nothing proof-proof about geometry an impossible
Know decimal system, negative number, and 0
Discover first formula a² + b² = c² ( Sulbasutra )
Discover stanam - stanam gunam is modern decimal modern basis ( Aryabhata )
Arithmetic question solved with wrong instance
Finding connect in circumference of circle ( Brahmagupta )
Arithmetic know existence square number , irrational and list name that square number have two formal square root
Geometry know triple Pythagoras, Pythagoras theorems, transforms and Pascal triangle

6. China

Find character-character of triangle having 90-deegre angle in 3000 DM years
Developing negative number, decimal number, decimal system, binary system, algebra, geometry, and calculus
Can discover method to solve general kind of equation is square equation, cubed and qualitik

d. This algebra use Horner system to solve square equation ( suku banyak )

History Mathematic

2008-11-27T23:14:00.000-08:00

Basic of Character

1. Thales ( 624 – 550 BC )

a. First person be connected with mathematic discovery
b. First mathematician the formula of theorems
c. Sue geometry to problems solve like as count the height
d. Applied science was position by Thales before Pythagoras who make numbering
e. Famous as statesman, engineer, entrepreneur, mathematician, and etc.

2. Pythagoras ( 582 – 496 BC )

a. Not discoverer of Pythagoras theorems
b. 2 as irrational number
c. Connected between music and mathematic
d. Suppose by Neoplatonis as discoverer amicable number
e. Filsafat Pythagoras basic that bulat number is effect from kind character substance

3. Socrates ( 470 – 309 BC )

a. A philosophical
b. If see with right, he not teach philosophy but philosophy life
c. Giving midwife technique
d. Purpose of philosophies to seek right be valid at the longest
e. Discoverer ideology about cosmology observation
f. Teaching Socrates direct of naturalism

4. Plato ( 427 – 347 BC )

a. Student from Socrates and teacher from Aristotle's
b. Discover learning serba cita
c. First persons that approve concept existence world not object
d. Important in Plato filsafat is idea about Utopia

5. Euclid's ( 325 – 265 BC )

a. Study mathematic at Plato academy and become a mathematic teacher
b. Famous as Mr. Geometry says number theory and geometry theorems
c. Tools of Euclid's discover are ruler and compasses
d. Subject which studied are shape, Pythagoras theorems, equation in algebra, circle, tangent, space geometry, proposi theorems

6. Archimedes ( 287 – 212 BC )

a. Counting  ( phi ) in count area circle
b. Founding formula : L =  S ( S-A ) ( S-B ) ( S-C )
c. Great mathematician every years
d. Apply physics concept and mathematic
e. His opus about 3 dimension geometry
f. Opus Archimedes about on plane equilibrium, float thing

7. Apollonius ( 262 – 190 BC )

a. The professional mathematician in geometry
b. Apollonius shared curve become 3 categories : plane loci, Solid loci, Linear loci
c. Write fast step which contain in certain instruction about technique fast counting
d. Apollonius geometries connecting some element in triangle
e. Parabola concept, hyperbola and ellipse many give contribution for modern astronomy

8. Diophantus ( 250 – 200 BC )

a. Be familiar as Mr. Algebra
b. The Greece mathematician which live in Scotland
c. His work are arithmetical book, first arrangement book about Algebra system
d. The part which protected from Diophantantus arithmetic have content solution approximately 130 question that product equations first and square equation