GREEK
MATHEMATICS
Prepared by:
Mhiecharson Anthony Sales &
Karen Joy Pastrana
Today's Objectives.
To know how the Greek Mathematics started.
To be able to know and understand the famous
mathematicians of Ancient Greece.
To be able to know how the Ancient Greeks started a
whole new revolution of Mathematics.
To gain learnings about the topic.
To enjoy the discussion and have fun.
Topics Involved.
ancient timeline of
greek important
civilization. events.
famous numeral system
greek and solution.
mathematicians.
The Greek Alphabet.
The Greek Alphabet is the ancient
and is also the current writing
system used by the Greeks. It is an
ancient writing system first
developed around 1000 BCE.
However, its letters remain
prevalent today. Throughout
history, letters of the Greek
alphabet evolved to represent many
things.
The greek alphabets are
necessary in doing calculations
in math and in other field like
physics and electronics.
Greek
Civilization
The Greek civilization dates back
to 2800 B.C. -- just about the time
Greek
of the construction of the great
pyramids in Egypt.
Civilization. About 775 B.C. they changed from
a hieroglyphic writing to the
Phoenician alphabet. This allowed
them to become more literate.
The ancient Greek civilization
lasted until about 146 B.C.
Greek
following their fall against the
Roman Empire.
Civilization. The Egyptian and Babylonian
influence was greatest in Miletus, a
city of Ionia in Asia Minor and the
birthplace of Greek philosophy,
mathematics and science.
It is divided into two periods: the
classical period from about 600
B.C. to 300 B.C. and the
Greek Alexandrian or Hellenistic period
from 300 B.C. to 300 A.D.
Civilization. From about 350 B.C. the center of
mathematics moved from Athens
to Alexandria (in Egypt), the city
built by Alexander the Great (358
-323 B.C.).
The Major Schools of Greek Mathematics.
The Ionian School was founded by Thales (c. 643- c. 546 B.C.).
The Pythagorean School was founded by Pythagoras in about 585
B.C.
The Eleatic School from the southern Italian city of Elea by Zelo.
The Platonic School, the most famous of all was founded by Plato
(427-327 B.C.) in 387 B.C. in Athens.
The School of Eudoxus founded by Eudoxus (c. 408 B.C.)
The School of Aristotle, called the Lyceum, founded by Aristotle
(384-322 B.C.)
Famous Greek
Mathematicians
Famous Greek Mathematicians.
Euclid. (325 BC to 265 BC) Pythagoras. (570 BC to 495 BC)
He was also known as Euclid of He is best known for his excellent
Alexandria and referred as the contributions in geometry,
father of geometry deduced the including the Pythagorean
Euclidean geometry. Theorem. He is called the father of
numbers.
Famous Greek Mathematicians.
Archimedes. (287 BC to 212 BC) Aristotle. (384 BC to 322 BC)
Archimedes is yet another great Aristotle had a diverse knowledge
talent from the land of the Greek. over various areas including
He is best known for antiquity and mathematics. He mentioned two
the invention of compound pulleys ways to start a proof: by axioms or
and screw pump. by posits.
Famous Greek Mathematicians.
Thales. (624 BC to 547 BC) Eratosthenes. (267 BC to 197 BC)
He is best known as Thales of He’s best known as the person who
Miletus. He’s best known for his work calculated the circumference of
in calculating the heights of pyramids the earth using a bare stick, also
and the distance between the shore the first one to calculate the tilt of
and the ship by using geometry. the Earth’s axis.
Famous Greek Mathematicians.
Diophantus. (200 BC to 284 BC) Hero. (10 AD to 70 AD)
He was a Hellenistic Greek He described a method for iteratively
mathematician and was best known as computing the square root of a
the father of algebra. His equations number. This method is known as
can be defined as polynomial the Hero’s formula in today’s world.
equations in several unknowns. He is known as Hero of Alexandria.
Famous Greek Mathematicians.
Hipparchus. (190 BC to 120 BC) Hypatia. (355 CE to March 415 AD)
She is the first woman to make
He was the founder of trigonometry
valuable contributions in the field of
and the first to develop a reliable
mathematics. Hypaitia was the first
method to predict solar eclipses. He
woman to take the bold step to
possessed the first mathematical
pursue with her dreams and became
trigonometric table.
an inspiration to many.
Historical Timeline
of Ancient Greek
Timeline.
2700 BC - 1450 BC: Minoan Civilization in
Crete, a large island in Greece, started.
2800 BC - 2100 BC: Early Helladic Period
in the Greek mainland started. It is the
same time as the Great Pyramid of Giza in
Egypt was created.
1600 BC - 1100 BC: Late Hedallic Period in
Greek mainland started. It is also called as
the Bronze Period.
Timeline.
775 BC: They changed from a hieroglyphic
writing to the Phoenician alphabet.
600 BC - 300 BC: The Classical Period
300 BC - 300 AD: The Alexandrian or
Hellenistic Period
350 BC: The center of mathematics moved
from Athens to Alexandria (in Egypt), the
city built by Alexander the Great.
Timeline.
146 BC: The Greek Civilization ended
following their fall against the Roman
Empire.
Ancient Greek
Numerals
Herodianic Greek numerals (also known as attic)
Except for the symbol for the number one, the letter
symbols are the first letter of the name of the value,
for example, for δέκα, deka (meaning ten), the letter
delta. In addition, the symbol for πέντε, pente
(meaning five), pi, sometimes in an altered form, was
combined with the symbols for 10, 100, 1000 and
10,000 to make 50, 500, 5000, and 50,000
respectively.
Ancient Greek Herodianic Numerals
