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Gottfried Wilhelm Leibniz

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Niña Jamaica Bodino

on 20 November 2013

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Transcript of Gottfried Wilhelm Leibniz

Gottfried Wilhelm Leibniz
Education
-During his University days, philosophy was taught better than mathematics.
-Moved to Jena during summer 1663, to study deeper about mathematics.
-In 1664, he applied again at University of Leipzig for doctorate of law, but he wasn't accepted due to his young age(20).
-He moved to live in Nuremberg permanently, to pursue studying at University of Altdorf.

Leibniz's contributions to Math
-In 1672, he invented a mechanical calculating machine called "Stepped Reckoner" that can add, subtract, multiply, and divide but he didn't complete it until 1694.
-During his stay in Paris(1672-1676), Christian Huygens helped him more with math. By the end of his stay, he invented Calculus.
-He created notations for Integral and Differential Calculus.
Controversy between Leibniz and Newton
Gottfried Wilhelm Leibniz
Born: July 1, 1646
Birthplace: Leipzig, Germany
Died: November 14, 1716 (70)
Location of Death: Hanover, Germany
Cause of Death: Unknown
Religion: Lutheran
Nationality: German
Occupation: Mathematician and Philosopher
Accomplishment in Math: Co-invented Calculus
-Came from an educated family.
-His father was a professor of moral philosophy while his mother was a daughter of a rich local lawyer.
-He has a sister named Anna Catharina.
-Father died when he was six years old.
-Entered school at the age of seven, taught Latin.
-He excelled in Latin by the age of 12, and taught himself Greek.
-In 1661, he entered University of Leipzig to study philosophy and mathematics.
-He never married anyone, his life was dedicated to studies.
Personal Life
-Newton and Leibniz both discovered calculus around the same time.
-Some said Newton invented it first, but Leibniz's way was better.
-Leibniz published his way in 1684, but started working on it in 1674.
-The controversy was about Newton accusing Leibniz of plagiarizing his work, or Leibniz got his main idea from Newton.
-The controversy stopped when the Royal Society proclaimed that Newton is the father of calculus.
-Before Leibniz died, he wrote a letter
saying a fellow mathematician showed
him some of Newtons work, but did not
copy or plagiarized his work.
Calculus
Reference:
<http://www.maths.tcd.ie/pub/HistMath/People/Leibniz/RouseBall/RB_Leibnitz.html> "Gottfried Wilhelm Leibniz"
<http://plato.stanford.edu/entries/leibniz/> "Gottfried Wilhelm Leibniz" Jul. 24, 2013
<http://www.math.rutgers.edu/courses/436/Honors02/leibniz.html> "The Mathematical Leibniz". Ari Pattanayak.
<http://history-computer.com/People/LeibnitzBio.html> "Biography of Gottfried Leibniz"
<http://www-history.mcs.st-andrews.ac.uk/Biographies/Leibniz.html> "Gottfried Wilhelm von Leibniz". J J O'Connor and E F Robertson. October 1998
<http://math.about.com/cs/calculus/g/calculusdef.htm> "Calculus Definition". Deb Russel.
<https://www.khanacademy.org/math/calculus/differential-calculus> "Talking Derivatives"
<https://www.khanacademy.org/math/calculus/integral-calculus> "Indefinite and Definite Integrals"

Niña Jamaica Bodino
-Mathematical study of how things change.
-There are two main fields in Calculus; Integral and Differential Calculus.

Differential Calculus: it is when you have to find the rate of change of a quantity.
Integral Calculus: it is when you determine the quantity while the rate of change in known.

-When it's integral calculus there will always be a "∫" sign in the notation. Leibniz also invented this symbol, it represent "S" or "summation". It is called a Unicode.
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