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The Evolution of Mathematics.

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by

Jude Mohammed

on 12 May 2016

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Transcript of The Evolution of Mathematics.

How did Greece improve on the early Egyptians concepts of math?
Symbols
Italy
Created Roman Numerals.
Roman Numerals are when the numbers look like letters.
Like when V=5.
Fibonacci, a man born in Italy, raised in West Africa, brought the Arabic numeration system to Europe, which is the smae numeration system we study today.
Egypt
In Egypt the decimal numeric system was developed. This system was developed based on our own 10 fingers!
They have their own numeration system.
They also developed their own counting system using symbols. Written numbers were units, a heel bone system for tens, a coil of rope for hundereds, and a lotus flower for thousands.
Greece
Greece has a lot of people who helped start mathematics, such as
Thales
,
Pythagoras
, and
Euclid
.
Thales created the right triangle
Pthagoras has made something called the
Pythagorean Theorem
, it's a²+b²=c².
Euclid created Euclidean geometry.
The Evolution of Mathematics
By: Jude Mohammed

Influences
The two main influnces on Rome were Greece and Egypt.
People credited all the knowledge of geometry to Greece, although geometry was originally developed in Egpyt then passed onto Greece.
What Careers Require Algebra/Geometry?
Transportation Industry:
They use geometry to determine the angles involved in each Plane's flight path.
Construction industry:
Use geometry to make important calculations.
Fun Fact:
The Geometry that we study today
is what the famous mathameticion
Euclid discovered and wrote about.
He had 13 giant files filled with
mathematical theories.

Geometry
Algebra
Cooking:
Assists chefs in measuring the amount of each ingredient they need
Fitness:
To determine how much fat someone has and how much fat needs to be lost
Architecture:
To convert the inch or fraction to feet or yards so that the drawing has the correct proportions
References

http://work.chron.com/careers - require - geometry -10361.html

http://work.chron.com/career - fields - reqire - algebra 3080.html

https://explorable.com/egyptian-mathematics

https://books.google.com.kw/books?id=-pTzCAAAQBAJ&pg=PA64&lpg=PA64&dq=What+are+some+similarities+between+the+early+Chinese+and+Babylonians?&source=bl&ots= psWzhD4Pl&sig=
Time and Calendars
Astronomy
was one of the first ways that time was measured. They used the sun, the moon, and the stars to measure time.
Egyptians
were the first to develop a
calendar
, using both Astronomy and Astrology.
The first people to have a
24 four hour
day were the
Egyptians
, but
The
Babylonians
were the first to use the
60 minute hour
. The seconds came later, around the year 1000.
https://nrich.math.org/6070
https://eplorable.com/egyptian-mathematics
www.kidsmathgamesonline.com/facts/history.html
www.storyofmathematics.com/chinese.html www.storyofmathematics.com/indian.html
www.storyofmathematics.com/roman.html
www.storyofmathematics.com/greek.html
www.storyofmathematics.com/sumerian.html
www.storyofmathematics.com/egyptian.html
www.math.tamu.edu/~dallen/history/arab/arab.html
www.mathsisfun.com/fibonacci-sequence.html



Babylonians, Greeks, and Indians were all influenced by Egyptian mathematics.
Their theories have been passed onto the Greeks, helping the people from the Hellenistic time period develop more advanced theories of mathematics. Such as geometry, which led to Euclidean Geometry.
Chinese and Babylonians have the same number system
Also the same technical expressions
In both Babylon and China sets of linear equations were solved by eliminating one unknown after the other.
What are some similarities between the early Chinese and Babylonians?
Mesopotamia
In Mesopotamia they created a pictograph.
They helped develope arithmetic and geometric systems.
Mesopotamia developed something the other countries did not, which is a symbol for the number 0.
They developed PI and the circumfrence of a circle.
India
In India the mathematics they created were highly more advanced than others.
They created a way to write numbers starting with the tens and moving all the way to the trillions.
They also provided of evidence of helping to create arithmetic operations.
Before Pythagoras, a texted called "Sulva Sutras" listed several parts of the Pythagorean Theorem.
China
China created a numeration system, where they used bamboo rods arranged to represent the number 1 to 9.
Chinese develpoed the abacus, but it was told that the abacus was developed elsewhere long before Chinese developed it.
3,000 B.C.
Egyptians used
advanced mathematics
such as algebra, arithmetic,
and geometry.
1,900 - 1680 B.C.
Babylonians developed
PI and the circumfrence
of a circle
1100 B.C.
Chinese mathematics
developed concepts
such as negative numbers,
decimals, algebra, and geometry.
700 B.C.
Greek mathematics
developed such as
the Pythagorean Theorem,
and Euclidean Geometry.
1,000 B.C.
Hindu numeric
sytem was
developed.
Moving Towards Modern Times

16th Century
symbols for
addition and
subtraction
were developed.
1557
Equal sign
was developed
Mathematics
helped
develop
computers.
7th Century
Mathematics
Mohammed al- Khwarizmi developed "Al Jabr" or as we call it, Algebra.
Al- Khwarizmi wrote a book all about algebraic thinking, theories, and epressions.
Al-Khwarizmi wrote all his expressions in full sentences because there were no symbols back then.
From 700-1200 AD, there were many contibutions to mathematics in the Arab world.
Before symbols were
developed, people had to
write equations in full
sentences.
Impacts
With time and calendears
on their hands, civilization
could predict when events
such as floods would happen.
Full transcript