The Renaissance of Mathematics

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The Renaissance of Mathematics
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MOOD OF THE ERA

• FAMINES
• PLAGUES
• WARS
• CLIMATE CHANGE

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IMPORTANT ASPECTS OF THE 15TH CENTURY

• RETURNING TO THE PAST
• EDITING AND REPROVING ALL OLD DOCUMENTS AND
  GETTING THEM IN PRINT
• TRANSLATING TEXTS.

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INVENTIONS OF THE TIME PERIOD

• PRINTING PRESS
• PAPER WITH LINEN

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HOLD BACKS OF MATH

• SCHOOLS REMOVED MATH DISCIPLINES AND LOGIC
• THE CHURCH

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MATHEMATICIANS

• REGIOMONTANUS
• LUCI PACIOLI
• SCIPIONE del FERRO
• NICCOLO FONTANA
• GIROLAMO CARDANO

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REGIOMONTANUS(1436 1476)

• WAS ONE OF THE MAJOR TRANSLATORS OF THIS TIME.
• BUILT AN OBSERVATORY IN NUREMBERG WHERE HE BECAME
  INTERESTED IN THE POSITONS AND PHASES OF THE MOON
• REVISED THE CALENDAR IN 1475.

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LUCI PACIOLI(1445 1517)

• TRANSLATED AND COLLECTED MANY ARITHMETIC BOOKS.
• MOST FAMOUS BOOK HE ARRANGED THOUGH WAS THE
  SUMMA.
• MOST IMPORTANTLY THOUGH HE MADE THE STATEMENT,
  THE SOLUTION OF THE CUBIC EQUATION WAS
  IMPOSSIBLE.
• PACIOLIS TRIP TO BOLOGNA AND HIS COVERSATION
  WITH del FERRO

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SCIPIONE del FERRO(1465 1526)

• EDUCATED AT THE UNIVERSITY OF BOLOGNA AND TAUGHT
  AT THE UNIVERSITY OF BOLOGNA.
• THOUGHT TO BE THE FIRST PERSON TO SOLVE THE CUBIC
  EQUATION.
• NONE OF HIS WRITINGS OR DISCOVERIES EXIST.
• DID NOT USE ZERO, NEGATIVE NUMBERS, AND AT THIS
  TIME ONLY KNEW OF ONE ROOT FOR THE QUADRATIC.
• HAD A STUDENT NAMED FIOR

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NICCOLO FONTANA(1499 1557)

• TARTAGLIA THE STAMMERER
• FRENCH ATTACK
• SELF TAUGHT MATHEMATICIAN
• SECOND PERSON TO KNOW HOW TO SOLVE THE CUBIC
  EQUATION IN THE FORM OF X3 PX Q, P,Q??.
• WAS CONSIDERED A LIAR AND TRIED TO CLAIM MANY
  OTHER PEOPLES WORK, WHICH CREATED SOME OF THE
  CONFLICT THAT HE HAD WITH OTHER MATHEMATICIANS.
• HIS THEORIES WERE A LOT OF TIMES COMPLETELY WRONG
  BUT SPARKED SOMEONE ELSE TO DISCOVER THINGS.
• HELPED IN THE DISCOVERY OF ARTILLERY FIRE.

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GIROLAMO CARDANO(1501 1576)

• PHYSICIAN, PHILSOPHER, MATHEMATICIAN, ASTROLOGER,
  DABBLER IN OCCULTS, AND A PROLIFIC WRITER.
• HAD A BAD REPUTATION AS A GAMBLER.
• WAS ABLE TO USE KNOWLEDGE OF GAMBLING TO OPEN THE
  WROLD TO PROBABILITY.
• WANTED TARTAGLIAS SOLUTION TO THE CUBIC
  EQUATION.

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CONFLICT BETWEEN MATHEMATICIANS
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FIOR TARTAGLIA

• TARTAGLIA CLAIMED TO HAVE THE SOLUTION TO THE
  CUBIC EQUATION.
• FIOR BEING A FOLLOWER OF del FERRO AND KNOWING
  THE REPUTATION OF TARTAGLIA CHALLENGES HIM TO
  UPHOLD del FERRO HONOR

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CARDAN TARTAGLIA

• CARDAN HEARS OF TARTGLIAS INCREDIBLE VICTORY AND
  WANTS HIS THEORM TO PUBLISH.
• TARTAGLIA EVENTUALLY GIVES IN BUT ON CARDANS
  WORD THAT HE WILL NOT PUBLISH IT.

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QUESTIONS
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CLASS CONTEST

• Find one real root
• X3 X 6x2 6
• X3 - 5x2 2x - 10 0
• X 6
• X 5

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HOMEWORK

• GO TO
• http//turnbull.mcs.st-and.ac.uk/history/Mathema
  ticians/
• LOOK UP ALL THE NAMES OF THESE MATHEMATICIANS
  AND SEE WHAT YOU THINK CAUSES ALL OF THESE
  CONFLICTS BETWEEN THESE MATHEMATICIANS.