What I Have Done and What Will Do About English of Mathematics

English mathematics is one of the subjects in the whole semester. This course is a general course and consists of 2 SKS. in a week there one time and 100 minutes of each meeting. That I have got from studying the English language is writing, reading, listening and speaking - proficient.
At the beginning of the lecture, the lecturer ( Mr. Marsigit ) explain, describe and explain a basic topic or discussion about the English language using the English language. Temporary lecturers ( Mr. Marsigit ) teaching, my students and others who listen to all that is described, and are presented by lecturers.
In addition to listening to the lecturers and teaching, the lecturers also showed a video about the mathematics as an example: theorems about Pythagoras, exponent, power and root. Graphic intersects line, properties of logarithms, pre calculus, polynomial, Trigonometry, etc.
From anything that I have heard and I seen from the lecturers and from the video, and I noted the important principals. From the main principals that I have written before, and I developed become a paper that using the my own simple words, simple expressions and also a simple task.
From a summary of the essence and then I read again if there is confusion or lack of writing after in the task I have is correct, the task I collect form in and out of print in the blog posting each student. Before correct - correctly collected and the post we should know right from the paper's contents. If a teacher asked him about when paper’s contents that we made, we can explain and re-told the contents of the paper that the student that usually called talking. And that's all I ever have or do I have the task in accordance with the time specified by lecturer. I will do to study the English language is fill my blog with the paper that I collect and sum - sum subjects with complete English language.
Learn more learn by words - words in the English language and to read any posts to speak fluent English in order to pronounce any posts speak English and have a word - a word in the English language. With English I apply mathematics to fill blogs language in English I applied in reading blogs, magazines, novels, stories in the English language.

Mathematics concept, problem of mathematics and solution of mathematics at ancient time which still wearied until now

Which I can find for example:
Early from mathematics history is when people have to note and calculate big in number. Initially ancient Nomad tribes calculate by gravel or seed and pack into sack; bag, if small in number. But for big amounts, they use finger to symbolize number 10 and 20. And they develop number concept as separated from device calculated object.
At one time happened more complex calculation and record-keeping, last there is people finding appliance to assist record-keeping process and that calculation. That appliance is Abacus, is one of earliest appliance of invention and its use. Source of from unclear Abacus itself, definitive but this Appliance has been recognized by since Greek era and of Romani Ancient. Initially Abacus in the form of surface of sand, wax; candle sabak, or batu lebar with sign showing number situation and used as gravel numerator.
But in the early of middle ages, middle eastward emerge appliance which in the form of box framework with seeds at a number of bars, later; then this appliance is referred as with swipoa. Hitherto both, ad for Abacus and or Swipe still used widely in Asia East and Mid-East.
Logarithm
A mathematician from English capable to change Logarithm of Napier become public logarithm or Briggs an, He is so called Henry Briggs. In history education of him, Briggs goes to school get title of MA. Briggs publish the masterpiece of in Arithmetic Logarithmical in the year 1624, where in that book was presented by original number logarithm from 1 until 20.000 and 90.000 until 100.000 by 14 number behind comma. There are also function of sin by 15 number behind comma, function of tag and of sec by 10 number behind comma. Briggs suggests that number - number of do not there are can be calculated with table - complete table which published with Trig title of Britannica. Briggs also fined binomial theorem without there is verification. Logarithm studied was this time referred [as] with Brigg a system. Invention of logarithm will not like now without role of Henry of Briggs.
Integral Device and Differential
Leibniz, this Germany mathematics about year 1684 defining integral device and differential which until this time still used. He defines equation of Differential is an equation covering function generation one or more tied to one or more free. Leibniz also explain technique finish equation of ordinary differential, for example

1. Direct integration
2. Technique dissociation of variable
3. Integration factor.

Theorem of Pythagoras
Theorem of Pythagoras express that wide amount of square right angled triangle same elbow broadly square [in] hypotenuse. Pythagoras express that this theorem in geometric style as statement concerning wide square. This theorem proved by Pythagoras though the fact of is not him finding this theorem.

India Sulbasutra express that flung out string as long as diagonal length a square length will yield wide which yielded [by] side - vertical side and horizontal. If right angled triangle have feet with length of a draught of b, hypotenuse with length of c, hence: a + b = c².
Besides nation of Romani and Greek, Moslem man of science coming from Busman, Nishapur also follow colored knowledge of past. The Elman so called Abu Wafer Muhammad Bin Muhammad Bin Yahiya Bin Ismail al-Busman. He personally develops some important theories mathematics area, the core important trig and geometry. In geometry science area, Abu Wafer give contribution isn't it geometry problem for resolving by using compass; construction of equivalent for all areas, public polyhedral; construction of hexagon semi side from isosceles trilateral; parabola construction of geometry solution and dots for equation.
Building version trig construction of Abu Wafer is up to now confessed very big is his him. He is first show the existence of trilateral theory relative parabola. Do not only that, he also develop new method concerning parallelogram construction and also repair of sine value 30 wearied eight denary. Abu Wafer even also develop sine relation and of formula
as well as
Beside it, Abu Wafer makes special study concerning tangent theory and table’s enumeration of tangent. He introduce secant can of cosecant for the first time him, succeeding to know relationship between which trig lines good for the mapping of and also put down base for continuing theory study of conic.
Many erudite masterpiece and books have been yielded [by] him and include; cover many science areas. But do not many the masterpieces of which drop behind till in this time. A number of the masterpieces of losing, which is there is still, have modified. Contribution of in the form of erudite masterpiece for example in the form of book of Elm al-Hsia ( Practical Book Arithmetical), Al-Kitbag Al-Kamala ( Complete Book), and Book of al-Hands ( Geometry of Terrapins). Abu Wafer even also pouring many masterpieces he wrote erudite journal of Euclid, Diaphanous and of al-Khwarizmi, but unhappily many which have loosed.
Even that way, contribution of for trig theory very lash isn't it especially development [at] tangent formula, invention early to formula of secant and of cosecant. Hence from that, a large amount of formulas of trigonometry cannot be discharged from name of Abu Wafer. And hitherto the trig formula still used by most people which learn mathematics.

The Theory Of Probability and Trilateral Pascal

The life of Pascal walk during two years before awaked by Gilberto. Then Pascal collaborated with Fermat to triggering the theory of probability. Like Cardano, Pascal interest with the theory of probability from gambler. He studied the hurl of two dice with his father’s friend, Fermat. Both in the reality can give the base growth of areas like : counting, insurance risk, interpreting statistic, studying clan (Mendel). The Coins which hurl have probability out number 1 from 2 (number and picture) or ½. If downhill probability, small above ratio more and more. If there is no possibility, so the probability is zero. Trilateral Pascal founded for the purpose of this.

1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1

This used to determine simple probability problem like in throwing coin. And then it called by Pascal Triangle. Pascal triangle didn’t found by Pascal. It have founded and published on China at 1303 or 320 years before Pascal born. Composition book of Chu Shih-Chieh, Ssu Yuan Yii Chien mention that tables only until 9 story level. Adoption of Pascal Triangle there are in book of Murai Chusen’S of Shampoo of Doshi-Mon the year risingness 1781.

Logic
Logic come from ancient Greek word λόγος (logos) meaning result of consideration of phrased mind pass word and expressed in language. As science, logic referred as logike episteme (logica scientia) or logic science (science) which studying efficiency to think diametrically, precise, and regularly. Science here related at rational ability to know and efficiency relate at kindness mind readiness to realize knowledge into action. Logical word which utilized the can is also interpreted sensiblely.

The History of Logic
Logic started with Thales (624 BC – 548 BC), first Greek Philosopher who leave any fable, takhayul, and non sense stories and looking away to kindness mind to solve universe secret. Thales said that water is arkhe (Greek) which meaning principle or common ground of universe. On that time Thales has defined inductive logic.
Then Aristoteles defining logic as a science, which then called logica scientica. Aritoteles said that Thales concluding that water is arkhe of universe with the reason that water is the soul of anything. On Aristoteles era, logic still called analitica, which specially research the argumentation which started from true proposition, and dialektika which specially research the argumentation which started from proposition which still been hesitated the truth.
Kinds of logic
1. Natural logic
Ability of natural logic [of] human being exist from the day borned
2. Erudite logic
Erudite Logic refine, sharpening mind and also kindness mind.

Paradox of Russell
1901, Russell lay open what is later then known as paradox of Russell (Russell Paradox), which emerge at his masterpiece of Principle of Mathematics (1903). This Paradox arise in the bearing of between a gathering becoming the part of various gathering but itself nonmember. This Paradox Significant follow, according to classic logic view, all statement will is always followed by contradiction. According to other mathematics view (including Hilbert and Brouwer) there is no competent proved to answer logic all statement of mathematics which is contradictive. At the beginning of this century masterpiece which concerning logic, gathering theory, mathematics base and philosophy thrive him.
This Paradox really the side product of undefined axioms (unrestricted) or abstraction which have been the part of gathering theory. Axioms which peeped out by Cantor on a statement P(x), where x is free peubah, where will determined the gathering which the members fulfilling criterion.
• Normal Gathering is the gathering which is unfilled itself as a member of the gathering.
Example : The gathering of all cats, the gathering of students as a normal gathering, because the gathering is not cats or students.
• Not Normal Gathering is a gathering which filled itself as a member.
Example : The gathering of all which is no cats, the gathering of all which is no student.
S = {x x €/ x}
Is S the member of S ?
If S €/ S, so S fulfilled criteria (x €/ x) become the member of the gathering S and paradoxial happened S € S.
If S €/ S, not fulfilled criteria (x €/ x) become the member of the gathering S and paradoxial happened S € S.
€/ ( Gathering nonmemberA); € ( gathering member)
Contradiction: If S €/ S so S € S; if S € S, so S €/ S referred as with paradox of Russell
Idea of Russell
Russell trigger types theory in the year 1908. theory divided become two version, " simple theory" and " generation theory ( ramified)." Both of this theory version get keen criticism. Please mention that this theory is too shallow because cannot finish paradox knew. For the theory other party of too circumstantial because difficult practiced into mathematics definitions-because too consistent, and impinge radian principle don’t tip of ( circle vicious).
Comments of Russell for which is second criticism is, in generation theory scope ( ramified), axiom turned into more simple ( reducibility). Though this axiom can ' loosen' radian principle don’t tip of in his application, but many people expressing that this is way too utilize to be harmonized with philosophy.
At the (time) of at the same time Russell also elaborate logic, theory that mathematics can be altered systematically ( reducible) become logic. First expostulation there are in Principles, and expostulation more there is in Principia Mathematica, logic of Russell consist of two argument or proposisi ( thesis). First, all truthses of matematikal can be specified as part of logic. [Both/ second], all verifications of matematikal earn isn't it as verification of logikal or equally mathematics theorema-theorema become indivisible shares of logic.
Contribution
Give mathematics colour and equipment. Using mathematics, specially gathering theory, to finish mathematics problem-problem, philosophy and try with problem-problem qualitative. Philosophy views and various masterpiece which concerning many topics is ommission of Russell.

Number zero
Number concept zero have expanded since epoch of Babilonia and Ancient Greek, which is at that moment interpreted as no from something. Number concept zero and nature of - in character continue to expand from time to time. Till [at] century to - 7, Brahmagupta a India mathematics introduce some nature of numbers zero. Nature of - in character is an number when summed with zero is remain to, that way also a number if/when multiplied with zero will become zero. This matter continue to become the this topic of research at that moment, even until 200tahun later;then. For example year 830, Mahavira ( India) assure result - result of Brahmagupta and even express that " a number divided by zero is remain to". Of course this fatal mistake.
Idea - idea of India mathematics is hereinafter studied by Moslem mathematics and Arab. This Matter happened [at] phase - early stage when mathematics of Al - Accurate Khawarizmi of system is calculation Hindu ( India) depicting system assess place of number entangling number 0,1,2,3,4,5,6,7,8,9. Al - Khawarizmi is which first time introduce usage of number zero as value space in bases ten. and this system is referred is number system denary.


Mathematics concept, problem of mathematics and solution of mathematics at ancient time which have unused in this time.
Which I can find for example:
Mathematics history re-finding appliance able to assist people away back in calculating, and calculator of sabak. A Both of this is appliance very differ. Firstly, this calculator is ancient Abacus of island of Salamis in Greek is oldest calculator. This calculator in the form of block of harmer as long as 1,5 meter and estimated have been used in a temple by moneychangers. Article which there are this calculator enlist value - number value and currency name like and drachma, talent and oboe.


Second, sabak of Romani. This Sabak is used by using gravel residing in above and below/under winnow line marked with number of Romani according to his column. Order or way use him, each; every gravel below/under ranked among extreme right column line set of, and each; every gravel residing in above valuable line five. If in the calculation of valuable 10, hence there is a gravel brought to left side.

Phi (π)
At former epoch, ancient Egypt people have found and determine the level of π is 3,16 to count area of circle. While for the things in this time the level of π the used is 3,14.

mathematics concept, problem of matematika,or solving of mathematics at the moment which [there] no the relation of with ancient time mathematics at all.
Which I can find for example:
Open-closed Problem
[Is] the same as like social sciences, problems or problems in mathematics even also marginally earn classification become to become two shares. First is the problem oves mathematics of tetutup ( problems closed). And secondly is the problem oves open mathematics ( problems open).
Which during the time emerge on the surface of and taught many schools is the problem oves closed mathematics ( problems closed). Where is true in finishing the problem oves mathematics closed this, prosedure which the was using of have almost can be told standard alias standard. As a result arising rather perception wrong to mathematics. Mathematics considered to be [by] definitive knowledge, prosedural, and saklek.
Meanwhile, problem oves open mathematics ( problems open) alone only just touch, seldom emerge and presented in course of study of mathematics school. As a result if there are any problems of mathematics kinds of this, that problems or problem is assumed ' ad for problem' or incomplete problem.
Simply, problems open alone can be grouped become two shares. Namely problems open-ended and of pure problems open. For the open-ended of problems alone can be grouped become two shares. Namely: ( 1) problems by satu answer many solution ways; and ( 2) problems with many solution ways also many answers.
What is the difference problems closed and of open problems?.
According to Sawada ( 1997), if problems open-ended a kind of mentioned problem passed to students in school, at least there is five advantage which earn to be expected
1. Students involve more active in course of them and study can lay open their idea by lebih sering. students do not only passive imitate examplizeed way is his teacher
2. Students have deeper opportunity use knowledge and skill of their mathematics by totally. Yes, they involve more active in using knowledge potency and skill which have owned before all.
3. Each;Every student can answer problems its own way. This mean, every student creativity can be laid open
4. Study by using problems open-ended a kind of this give experience of reality for student in course of have natural existence
5. There is many experienceses to be got student in the form of satisfaction in course of invention of answer as well as getting confession of other student.

Sumber:
http://www.republika.co.id
http://www.rumahislam.com
http://atrasku.wordpress.com
www.geocities.com
http://www.mate-mati-kaku.com
http://id.wikipedia.org/wiki
http://muhar5yah.wordpress.com
http://mathematicse.wordpress.com
www.my.opera.com

story of zero

In this time science specially mathematics, orienting to West country ( Europe and America). What most popular of us hear as Arab Moslem mathematics having contribution to growth of mathematics is Al - Khawarizmi, known as “algebra father”, introducing number zero ( 0) and translator of masterpiece - masterpiece of yunani ancient.

Number story zero
Number concept zero have expanded since epoch of Babilonia and Ancient Greek, which is at that moment interpreted as no from something. Number concept zero and nature of - in character continue to expand from time to time. Till [at] century to - 7, Brahmagupta a India mathematics introduce some nature of numbers zero. Nature of - in character is an number when summed with zero is remain to, that way also a number if/when multiplied with zero will become zero. This matter continue to become the this topic of research at that moment, even until 200tahun later;then. For example year 830, Mahavira ( India) assure result - result of Brahmagupta and even express that " a number divided by zero is remain to". Of course this fatal mistake.
Idea - idea of India mathematics is hereinafter studied by Moslem mathematics and Arab. This Matter happened [at] phase - early stage when mathematics of Al - Accurate Khawarizmi of system is calculation Hindu ( India) depicting system assess place of number entangling number 0,1,2,3,4,5,6,7,8,9. Al - Khawarizmi is which first time introduce usage of number zero as value space in bases ten. and this system is referred is number system denary.

Referensi:
www.my.opera.com
www.ceritakecil.com
www.wikipedia.com
www.hendy-veranda.blogspot.com

Role of Pythagoras and of Euklidean in the field of Mathematics. Background

Mathematics come from Ianguage of yunani, is in general affirmed as research of structure pattern, room and change. in the eyes of formalis, mathematics is inspection affirming abstraction structure use symbolic logic and mathematics notation, in other view drawn in mathematics philosophy.
Before modern epoch and knowledge spread over global, example of written from development of new mathematics have reached the him of only some places. Ancient mathematics article which have been found
1. Plimpton ( Mathematics of Babilonia the Year numericalness 1900 SM).
2. Sheet Mathematics of Moskow ( numerical Mathematics Egypt [of] year 1850 SM).
3. Sheet Mathematics of Rhind ( numerical Mathematics Egypt [of] Year 650 SM).
4. Sulba Sutra ( numerical Mathematics India [of] year 800 SM).
All pertinent articles give all mind to to theorem of Pythagoras, what seen to be as result development of most biggest and ancient mathematics after elementary aritmetika and geometry.
content:
Pythagoras:
About/Around] 4000 year ago nation of Babilonia have used geometry as bases of[is calculation astronomis, whereas nation of mesir have recognized Tripel Pythagoras and use him to make elbow angle;corner - elbow. first theorem concerning a right triangle in circle proved by Thales
(625-547 SM) and theorem concerning third side of a right triangle proved by Pythagoras
(580-496 SM). And because verification, Theorem which he find to be called Theorem of Pythagoras.
The theorem express that hypotenuse square from a right triangle is equal to squares amount of foot/feet - foot/feet of or side- elbow side- elbow.

INVENTION OF NUMBER of IRRASIONAL
This Statement can be proved by assuming, on the contrary that √2 is rational number so that can be expressed as comparison of circular number of a / b in simplest fraction. But if a / b = √2,
so, a2=2b2. This means a2 is even number, because square of anomalous number not possible to even, so, a is even number, because a / b is simplest fraction, b surely anomalous ( even fraction cause/ ad for still can be made moderate).
But because a is even number ( assume 2r mean a2 = ar2 is fold number 4 and b2 is fold number 2 ( even). This matter [of] berartio also b is even number and this is contradiction to conclusion before all that b surely anomalous. Because assumption early that √2 is rational result happened contradiction. The assumption surely wrong and his him ( that √2 is irrasional) is correct statement.
Other source express √2 is number of rrasional first which introduced by nation of yunani. they say that diagonal length from a right triangle with length two sides which is elbow angular shape - elbow of everyone not possible rational ( irrasional). Of theorem of pythagoras got that hypotenusa length (hipotenusa) of triangle is √2.
Euklides:
Live about/around century to 4 SM he is mathematics of alexandria. in the book of entitling "element", he is conceived of " geometry father". He tells number theory and geometry. menururtnya one top-drawer matter to be noted that in verification of theorem - geometry theorem do not be needed by the existence of example of - follow the example of from real world but enough with logical deduksi use axiom which have been formulated.
conclusion :
1. Mathematics born [at] ancient Egypt epoch.
2. Inventor of Pythagoras is not Pythagoras, but Matematikawan India ( in Sulbasutra Baudhayana and of Katyayana), Greek, Tionghoa and of Babilonia far before Pythagoras born.
3. √2 is number of irrasional because if expressed as circular comparison of a / b in simplest fraction.
Referensi:
www.personal.fmipa.itb.ac.id
www.indonesianrevivalist.com
www.id.wikipedia.org
Buku strategi pengembangan Pembelajaran Matematika karya Budi Murtiyasa.

history of mathematich

Growth of mathematics at some states:

state of mesopotamia:

• mathematicses find number system for the first time
• finding heavy system and measure,
• can calculate precisely value flatten- flatten period of last sky
• in the year 2500 SM have made the tables of multiplication of yangb is often used to [count/calculate] wide [of] land;ground.

state of babilonia:

• During the period people - people of babilonia use system denary and π ( phi) = 3,125.
• people - people of babilonia also play important role in growth of mathematics, proven of them find calculator for the first time him.
• In the field of other as does astronomical area, they use and recognize geometry as bases of is calculation astronomy.
• In the case of square root or number, people of babilonia use approach for the root of number and square of[is non square like 17 / 12 for √ 2.
• Geometry studied by society of babilonia have the character of aljabaris. still relate to algebra, babilonia aritmetika have growed become algebra of retoris expanding better.
• In the case of solving equation - equation of square, good with ekuivalen of substitution in common/ public formula and with supply of square, equation of rank three and square bi ( biquadratic) is also explained.
• In writing of their fraction number write with number of kuadrat.people of babilonia can make the tables of square root, tables of rank three and rank two.
• They can conclude that each every trilateral portrayed [at] half of circle have right angle.
• Number - number of using number system of sexagesimal.
• In the field of geometry they have recognized theorem of pythagoras.

State of mesir ancient:

• Ancient mesir of society, they recognize number system and symbol in the year 3100 SM.
• They can survey accurately in the year 2700 of SM.
• In their geometry area also have recognized pythagoras tripel at trilateral of elbow - elbow and recognize theorem of pythagoras.
• Number system used at society of mesir have additive pattern of aritmetika.
• In growth of algebra of mesir, they use some signs.
• Using number of papyrus moskow.
• They also develop and wear writing of and number of piktograf.
• Finishing equation of linear,
• Using number system base on 10 in the year 3000 SM.
• Have recognized formula - formula tocount/calculate wide and side.

state of yunani ancient:

• Growth of geometry started when mathematician of yunani so called pythagoras can prove formula of pythagoras mathematically with good.
• Then in number concept started when Al - Khawarizmi find number concept zero at the same time as pencetus of number zero.
• Other mathematician which also play a part in growth of number concept that is a success Hipassus find number of irrasional, besides number of irrasional [at] epoch of yunani ancient also have recognized prime number
• But on the contrary Diophantus mathematician inventor of aritmetika study analysed concerning theory - number theory which is its contents is development of done/conducted algebra made a and equation of Diophantus only recognizing answer - positive and rational answer, because anticipation have for number zero and obviate negative coefficient.
• Last of other mathematician which also play a part in growth of mathematics is Archimedes which studying flat geometry and Him also trigger the name of parabola with the meaning right angle;corner shareses [of] trapeze, besides Archimedes also find formula :

√s(s-a)(s-b)(s-c)

• Other growth which [in] ancient yunani that is the delivering birth of ball trig, growth of geometry, writing of alfabetis and a mathematics yes so called Apollonius finding way quickly which comprising instruction concerning tips - tips / enumeration technique quickly.

State of India:

• Very meritorious and famous india mathematician in the field of mathematics is Brahmagupta providing order - order for the addition of reduction and figuring in number zero.
• Brahmagupta can apply algebra to finish problem - problem of astronomy. besides Brahmagupta also develop common/ public method to finish equation of first storey;level and look for root - grow on equation of square.
• Famous other mathematician india, Aryan Bhata is first person introducing usage zero ( 0) and denary. Ad for Bhata make statement becoming modern decimal notation base, statement of him " Stanam Stanam Dasa Gunam".
• Besides Mahavira share in the field of mathematics with the solution of hitting quantifying operation, reductions, multiplication, and division of[is including usage of number zero. There [is] also inventor of formula early from a²+ b²= c², and continue algebra tradition.

state of China:

• Growth of mathematics in state of China have an effect on in progress of mathematics, growth in the field of geometry; recognizing the nature of - nature of trilateral of elbow - elbow,
• Conducting the calculation value compare to circle and radian diameter by Zu Chongzhi and succeed to count/calculate value compare that until number emapt behind comma.
• Besides people of China also find Formula of Cavalieri that is way find volume made in with formula. In the field of algebra:
• In solution of equation of square ( tribe using) many systems of horner.
• People of China have found method to solve some equation types that is equation of square, cubic and qualitik.
• In the field of other, Meritorious China also in invention of paper, magnet, system lift with pulley and belt in water wheel system by Dynasty of Han, besides is also found ideogram.

FIGURE - FIGURE HISTORY MATHEMATICS

Thales: ( 624-550 SM)

Mathematician which first time find or theorem of proporsisi recognized with theorem of Thales. Applied sciences have been found [by] Thales before Pythagoras making number, but or theorem of proporsisi Thales developed by Euclid. Later;Then Thales study to [regarding/ hit] geometry and astronomy. In note of Eudemus mention that Thales is people alter geometry become formal form able to study by everybody because basing x'selves at principle - principal and conduct the investigation of to theorem - theorem with viewpoint a intellectual.

Thales have a notion, according to him mark with lines not merely something which can of digurat and seen above sand, but mark with lines is obyek which is map [at] our imagination. Besides can find or theorem of proporsisi Thales have other greatness, among others: Thales can measure highly of pyramid by high measure of shadow by using stick. In the field of astronomy of Thales can sun eclipse memprediksi and determine one year is 360 day.

Pythagoras: ( 582-496 SM)

Pythagoras is people which first time trigger axiom - axiom, postulate - postulate require to be formulated beforehand in developing geometry. Success Pythagoras make best verification concerning theorem of Pythagoras so that the name of him used in found a success theorem of him, though theorem of Pythagoras is not him finding him. Pythagoras express Theorem of Pythagoras this in geometric style as statement concerning wide [of] square.

Aristoteles ( 384 - 322 SM)

Aristoteles is Greek philosophy. Aristoteles is figure defining logic as a science ( what was later;then referred [as] [by] scientica logica) Aristoteles [do/conduct] rational approach [of] Aristoteles find syllogism of Aristoteles considered to be [by] especial source of science.

Euclides ( 325 - 265 SM)

Euclides referred as “geometry father” because Euclides can tell number theory and geometry.in growth of mathematics of Euclides have subyek - studied subyek, among others: form - theorem form of Pythagoras, equation in algebra, radian, tangent, geometry, proporse ruang,teori, number of prima,bilangan perfect, positive intenger, and number of irrasional. Appliance - appliance which have been found and used by Euclides is meter and ruler.

Archimedes ( 287- 212 SM)

Archimedes is biggest expert as long as epoch and [in] ancient time. He/She is physics application and can mathematics. In mathematics area application he/she [do/conduct] calculation ( phi) in [doing/conducting] the calculation area of circle. Archimedes find formula L= √s(s-a)(s-b)(s-c) and Archimedes have three masterpiece which studying area geometry of dataryaitu measurement of circle, kuadratur of and parabola of spiral. and masterpiece of[is differ from Archimedes in the field of geometry three dimension is regarding cylinder and ball and also concerning and concoid of spheroid.

Apollonius ( 262-190 SM)

Role of Apollonius in growth of mathematics; Apollonius defin term - term like parabola, elliptical, and hyperbola. Apollonius study concerning diameter and tangent by using proposisi - picture and proposisi - curve picture. Apollonius have idea that idea concerning hyperbola two adversative branch [of] direction. Apollonius have many masterpieces, among others: Apollonius have masterpiece concerning masterpiece number scheme of Apollonius other like formulation of ratio / ratio, wide [of] penjabarab, tangent, crosscut dot, and maximum value and straight line minimum value which is bersinggungan with trapeze. Apollonius give instruction concerning enumeration technique quickly.

Diophantus ( 250-200 SM)

Diophantus conceived of the algebra father of[is Of him do not only including material type which forming algebra base of modern,tetapi Diophantus can develop algebra concept of Babilonia and blaze the way a[n equation form so that form equation was oftentimes referred [as] with equation of Diophantine. Diophantus also succeed to finish problem - problem concerning some unknown numbers and fully membership present many numbers - unknown number. or example equation of square have result two positive root and do not know negative number root. in teaching aljabar,Diophantus only studying number theory.

Al - Khawarizmi ( Irak) ( 780 - 850)

Al - khawaizmi referred as algebra father, because algebra taught [by] him with form - elementary form. Al - khawarizmi give example [of] and applying like searching wide [of] radian area, cylinder, pyramid and trapeze. in number system, Al- Khawarizmi write Hindu number system - Arabik and of Al - Khawarizmi is pioneer first time usage of number zero. masterpiece - masterpiece of Al - Khawarizmi in the field of astronomy and algebra, besides Al - Khawarizmi also have masterpiece in book " Zij Sindhind" is the tables of tangent and sine.

Fibonacci ( Italia) ( 1170-1250)

Role in the field of mathematics: defining number zero and calculate pattern - atypical natural pattern give base [at] recognition of algebra to west world Can create Fibonacci deret which giving reason or answer concerning natural pattern is such as formulated in gold ratio for the sake of commerce of Fibonacci make moderate number system of Fibonacci the complicatedness.

Fibonacci can solve problems of algebra a pad and equation of square of Fibonacci publish book of Liber Abaci ( concerning explanation of process of aritmatik the including way look for number root) by using what is now referred [as] with algebra by using hindu numeral - arabik.

Pascal ( Perancis) ( 1623-1662)

Pascal is religion mathematics at the same time a pejudi of role in the field of mathematics: making of adding machine, but there [is] famous invention by pascal that is pascal theorem . trilateral of pascal which the was making of aim to to facilitate we calculate result of equation of square, rank three, ad for dsb. Finding theorem of pascal:"titik - dot touch [at] side- side a heksagon segienam [at] a located trapeze at one particular dot".

told theorem is pascal can be used to formulate preposisi concerning trapeze and become one of the elementary theorem at projective geometry of Pascal conduct kolaborasi with fermat in triggering theory of probabitas,sehingga and pascal of fermat can give base growth of area - area like [counting/calculating] insurance risk, interpreting statistic and study clan.

Isaac Newton(1642-1727)(Inggris)

Isaac Newton is a mathematics, physics, astronomer as well as chemist coming from English. most theory and inventions - theory in the field of physics, but there still one invention of Newton in the field of mathematics that is Calculus.

Carl F.Gauss ( Jerman) ( 1777-1855)

Role of Gauss in the field of mathematics: Gauss find way make polygon 17 side by using ruler and compass. Gauss find geometry of[is non Euclidean. Gauss express that negative number also the included in number system. result of from research of Gauss mathematics is Geometry of diferential, theory - theory surface of area, statistical, probability theory. in Probability theory, curve of Gaussian which was often referred [as] with Gauss's law concerning normal distribution or which is more knowledgeable now with curve in form of bell.

Gauss develop mathematics in the field of Algebra, geometry, analysis, aritmetika, or number theory. Gauss also deepen astronomy, magnetism, topology, crystallography, and optic of elektik. Gauss masterpiece in mathematics is theory mathematics and mathematics of terapan.