About this document The Origins of Greek Mathematics Though the Greeks certainly borrowed from other civilizations, they built a culture and civilization on their own which is The most impressive of all civilizations, The most influential in Western culture, The most decisive in founding mathematics as we know it. Basic facts about the origin of Greek civilization and its mathematics. The best estimate is that the Greek civilization dates back to B. This allowed them to become more literate, or at least more facile in their ability to express conceptual thought.
Proto-Greek linguistic area according to linguist Vladimir I. The Minoan civilization in Cretewhich lasted from about c.
Little specific information is known about the Minoans even the name Minoans is a modern appellation, derived from Minosthe legendary king of Creteincluding their written system, which was recorded on the undeciphered Linear A script  and Cretan hieroglyphs.
They were primarily a mercantile people engaged in extensive overseas trade throughout the Mediterranean region. Mycenaean Greece Mycenaean Greece, ca. Mycenaean civilization originated and evolved from the society and culture of the Early and Middle Helladic periods in mainland Greece.
Mycenaean Greece is the Late Helladic Bronze Age civilization of Ancient Greece and it is the historical setting of the epics of Homer and most of Greek mythology and religion. The Mycenaean period takes its name from the archaeological site Mycenae in the northeastern Argolidin the Peloponnesos of southern Greece.
AthensPylosThebesand Tiryns are also important Mycenaean sites. Mycenaean civilization was dominated by a warrior aristocracy. Around BC, the Mycenaeans extended their control to Cretecenter of the Minoan civilizationand adopted a form of the Minoan script called Linear A to write their early form of Greek.
The Mycenaeans buried their nobles in beehive tombs tholoilarge circular burial chambers with a high-vaulted roof and straight entry passage lined with stone. They often buried daggers or some other form of military equipment with the deceased.
The nobility were often buried with gold masks, tiaras, armor and jeweled weapons. Mycenaeans were buried in a sitting position, and some of the nobility underwent mummification. Around — BC, the Mycenaean civilization collapsed. Numerous cities were sacked and the region entered what historians see as a " dark age ".
During this period, Greece experienced a decline in population and literacy. The Greeks themselves have traditionally blamed this decline on an invasion by another wave of Greek people, the Doriansalthough there is scant archaeological evidence for this view.
Ancient Greece — BC [ edit ] Further information: Classical Anatolia and Ancient history of Cyprus "The safest general characterisation of the European philosophical tradition is that it consists of a series of footnotes to Plato.
Ancient Greece refers to a period of Greek history that lasted from the Dark Ages to the end of antiquity circa AD. In common usage it refers to all Greek history before the Roman Empirebut historians use the term more precisely. Some writers include the periods of the Minoan and Mycenaean civilizations, while others argue that these civilizations were so different from later Greek cultures that they should be classed separately.
Traditionally, the Ancient Greek period was taken to begin with the date of the first Olympic Games in BC, but most historians now extend the term back to about BC. The period that follows is classed as Hellenistic.
Not everyone treats the Classical Greek and Hellenic periods as distinct; however, and some writers treat the Ancient Greek civilization as a continuum running until the advent of Christianity in the 3rd century AD. Ancient Greece is considered by most historians to be the foundational culture of Western civilization.
Greek culture was a powerful influence in the Roman Empirewhich carried a version of it to many parts of Europe. Ancient Greek civilization has been immensely influential on the language, politics, educational systems, philosophyart and architecture of the modern world, particularly during the Renaissance in Western Europe and again during various neo-classical revivals in 18th and 19th-century Europe and the Americas.
Iron Age — BC [ edit ] Further information: Protogeometric art The Greek Dark Ages ca. The collapse of the Mycenaean coincided with the fall of several other large empires in the near east, most notably the Hittite and the Egyptian.
The cause may be attributed to an invasion of the Sea People wielding iron weapons. When the Dorians came down into Greece they also were equipped with superior iron weapons, easily dispersing the already weakened Mycenaeans.
The period that follows these events is collectively known as the Greek Dark Ages. Kings ruled throughout this period until eventually they were replaced with an aristocracy, then still later, in some areas, an aristocracy within an aristocracy—an elite of the elite.
Warfare shifted from a focus on cavalry to a great emphasis on infantry. Due to its cheapness of production and local availability, iron replaced bronze as the metal of choice in the manufacturing of tools and weapons. Slowly equality grew among the different sects of people, leading to the dethronement of the various Kings and the rise of the family.
At the end of this period of stagnation, the Greek civilization was engulfed in a renaissance that spread the Greek world as far as the Black Sea and Spain. Writing was relearned from the Phoenicianseventually spreading north into Italy and the Gauls.The impact of Greece is typified by the hyperbole of Sir Henry Main: Origins of Greek Mathematics 2 the Greek heritage.
The detailed study of Greek mathematics reveals the classical period from about BCE to BCE and the Alexandrian or Hellenistic period from BCE.
|While these civilizations possessed writing and were capable of advanced engineering, including four-story palaces with drainage and beehive tombsthey left behind no mathematical documents. Though no direct evidence is available, it is generally thought that the neighboring Babylonian and Egyptian civilizations had an influence on the younger Greek tradition.|
|This was as true of their mathematics as anything else, and they adopted elements of mathematics from both the Babylonians and the Egyptians. But they soon started to make important contributions in their own right and, for the first time, we can acknowledge contributions by individuals.|
|Ancient Greece - HISTORY||While these civilizations possessed writing and were capable of advanced engineering, including four-story palaces with drainage and beehive tombsthey left behind no mathematical documents.|
Sep 03, · The term Ancient, or Archaic, Greece refers to the time three centuries before the classical age, between B.C. and B.C.—a relatively . Mathematics as we know it with geometry, vectors, differentiation, integration, mechanics, sequences, trigonometry, probability, binomials, estimation, hypothesis testing, geometric and exponential distributions and hyperbolic functions (to name a few off the top of my head) began in ancient Greece as far back between BC to BC.
Ancient Greece is the birthplace of Western philosophy (Socrates, Plato, and Aristotle), literature (Homer and Hesiod), mathematics (Pythagoras and Euclid), history, drama (Sophocles, Euripedes, and Aristophanes), the Olympic Games, and democracy.
Classical mathematics: a concise history of the classical era in mathematics. Philosophical Library, New York, The origins of scientific thought from Anaximander to Proclus, BC to AD. Mathematics. Our debt to Greece and Rome, vol.
Boston, Cooper Square, New York, The Story of Mathematics - Greek Mathematics. It was the Greeks who first grappled with the idea of infinity, such as described in the well-known paradoxes attributed to the philosopher Zeno of Elea in the 5th Century BCE.