Gottfried Wilhelm Leibniz , the True Inventor of Calculus
Born July 1st, 1646 in Leipzig, Germany, Gottfried Wilhelm Leibniz soon became
known as a great philosopher, mathematician and physicist of his time. At the
young age of six, his father died. Despite the tragedy, he continued the advancement
of his education. With only twelve years of age, he managed to teach himself to read
Latin, and by age thirteen, he took upon the challenge of improving Aristotle’s
theory of categories. By age fourteen, he entered the Leipzig University were he
focused his studies on law. Due to controversy, he did not receive his doctorate
in law from Leipzig, but instead from the University of Altdorf. Following this achievement,
he moved to Nuremberg and became involved in the German political spectrum. As a result of
the patronage of his dear friend Baron Johann Christian von Boineburg, Leibniz served as the
legal adviser to the Elector of Mainz. When he was not fulfilling his duties as an adviser,
Leibniz took interest in Latin poetry and frequently studied Vergil and Plato’s works.
In 1672, Leibniz developed a strategic plan to distract Louis XIV away from Northern Europe
with an appealing scheme for the conquest of Egypt. Subsequently, he was invited by Boineburg
to travel to Paris and proposed it to the French government. There in Paris, nothing came of his
plan, but he did receive the opportunity to study geometry with Huygens. He described this
experience as one that “opened a new world to him.” Although he had already written various
tracts on mathematics, this moment sparked a deeper concentration in the mathematics world.
In 1675 Leibniz invented infinitesimal calculus, which is differential calculus and integral
calculus combined. He first published his system in 1684, while Newton invented his system
for calculus in 1666 and published it in 1687. Although Leibniz developed his system
independently of Newton, there was an extensive dispute about whether Leibniz truly
discovered calculus independently of Newton or whether he had derived his ideas from
Newton and simply invented a different notation. Today Leibniz along with Newton is
acknowledged for discovering infinitesimal calculus, and the product rule in differential
calculus is referred to as Leibniz’s Rule. The notation Leibniz used for calculus is still
used today. Those symbols are “dx” for differentiation and “∫”
for integration. Leibniz was also the first person to use a period for multiplication and “~”
in geometry for similarity.
Although a large portion of his life was spent in controversy
and dishonor due to the continuous argument over the true creator of calculus, Leibniz still
contributed significantly to the world of philosophy, physics, and more importantly, to mathematics.
He died in Hanover, Germany in 1716 with seventy years of age.
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