Chapter 7

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Chapter 7 The Renaissance of Mathematics Cardan
and Tartaglia
Produced By
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(No Transcript)
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Floods and cold weather destroyed crops and
morale
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Over 800 people died each day.
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War was raging and the people who were not ill
with disease were killed on the front lines of
battle
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This was arguably the lowest time in European
History, and many were predicting the total
annihilation of European Culture.
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The Dark Ages of Europe

• Began with the fall of the Roman Empire in 410
• Was a time when society strayed from literacy and
  knowledge
  
• Was characterized by famine, disease, warfare,
  and death.

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Despair and Defeat

• Many saw this as the end of the world
• Confidence and hope was shaken
• The population was disappearing

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From Darkness into the Light
Just as hope was at its lowest, the struggles of
the infamous Dark Ages began to taper off by
approximately 1450. Population increased and a
new vision and new appreciation for life was
realized.
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Moving Toward Change

• New Monarchs bring stability
• Change intensified in Italy
• Two events helped to hasten the movement

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Two major events

• Fall of Constantinople to the Turks
• Johann Gutenburgs invention of movable printing
  type

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New Renaissance

• With stability comes leisure
• With leisure comes intellect
• With intellect comes progress in the arts

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With Renaissance comes leisure

• People worried less about population and
  necessities
  
• Upper class began to look for entertainment
• Mathematics becomes a common leisure activity

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Battle of the Scholars 7.2
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The Main Event

• Nicolo Tartaglia

• Girolamo Cardan

The Egos
The Cubic
The Quartic
The Challenge
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Nicolo Tartaglia

• Childhood
• Beginnings in Mathematics
• Claim to Mathematic Fame

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His first encounter with Cardan

• Cardans offer
• Cardans connection
• Cardan publishes Tartaglias work
• Letters of the feud