Blasie Pascal Contributions to Mathematics

Blaise Pascal Blaise Pascal Life And Contribution to

MathematicsLife And Contribution to

Mathematics

Done by: Yanice Coleman Peta-Gay McKenzie

Blaise Pascal Biography


Born in 1623 in Clermont, France, Blaise Pascal is one of the most well known mathematicians of all times.



His mother, died when he was only three, leaving his father to raise the sickly Blaise and his two sisters. He was educated by his father



Pascal's interest in math began with the curiosity about this subject which he was not taught. To his many questions about math, his father replied with vague answers. He told his son that math ``was the way of making precise figures and finding the proportions among them.'' Pascal took this statement and began to make his own discoveries about math.



At the young age of twelve, he was drawing geometric figures on the floor of his playroom and it is said that he discovered, on his own, the fact that the interior angles of a triangle add up to the sum of two right angles.



At that moment his father walked in to find his son drawing figures on the floor. His father watched him as he played and realized the genius of his son and from this time on allowed him to continue his studies in mathematics.



Pascal's father then brought him into the society of mathematicians with whom he was associated with. At these meetings, Pascal was introduced to the latest developments in math. Soon he was making his own discoveries and publishing his own results..



By the age of sixteen, he published his Essai pour les Coniques, his first book based on his study of the now classical work of Girard Desargues on synthetic projective geometry.



At age 18 Pascal began working on his calculating machine which was completed in 1644. (At this time Blaise Pascal was 20 years old).



At 25 years old in 1649, he was granted rights to manufacture his calculating machine, which he

perfected five years before. His father died two years later.



At 30 years old, Blaise Pascal in

collaboration with Pierre de Fermat worked on the

probability theory. They are still

considered today as the founding fathers

of probability.



It was in the same year he published Traite du triangle

arithmetique.

His Traité du triangle arithmétique ("Treatise on the Arithmetical Triangle") of 1653

described a convenient tabular presentation

for binomial cofficients, now called Pascal’s Triangle.



Pascal died in intense pain after a malignant growth in his stomach spread to his brain

on August 19, 1662 at 38 years old.

Blaise Pascal Contributions to

Mathematics

Blaise Pascal Contributions to

Mathematics

Blaise Pascal Calculating

Machine (Pascaline)


Machine (Pascaline)

Pascal invented a calculator to help out his father who was a tax administrator. The Pascaline and had a wheel

with eight movable parts for dialing. Each part corresponded to a particular digit in a number. The

Pascaline could add, subtract, multiply, and even divide. (Alcoce, 2012)


Machine (Pascaline)


Machine (Pascaline)

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Blaise Pascal Probability Theory


A year later in 1654, Pascal laid the foundation for the probability theory. His desire was to help a friend who had some questions on gambling. He realized that events did not happen randomly but actually depended

on what happened just before the event.



In other words, when you roll a dice, the number that is likely to come up

depends on what you just rolled. It will not be completely random.

(Alcoce, 2012)

Blaise Pascal - Pascal TriangleBlaise Pascal - Pascal Triangle

This is a triangular array of numbers in which

those at the ends of the rows are 1 and each of the others is the sum of

the nearest two numbers in the row above (the

apex, 1, being at the top).

Blaise Pascal –Pascal TriangleBlaise Pascal –Pascal TrianglePascal's Triangle can also show you the

coefficients in binomial expansion

http://www.mathsisfun.com/algebra/binomial-theorem.html

Pascal TriangleThe Quincunx


An amazing little machine created by Sir Francis Galton is a Pascal's Triangle made out of pegs. It is called The Quincunx.

Balls are dropped onto the first peg and then bounce down to the bottom of the Pascal triangle where they collect in little bins.

At first it looks completely random (and it is), but then you find the balls pile up in a nice pattern: the Normal Distribution.

http://www.mathsisfun.com/data/quincunx.html

http://www.mathsisfun.com/data/standard-normal-distribution-table.html



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Blaise Pascal Blaise Pascal Life And Contribution to

MathematicsLife And Contribution to

Mathematics

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Blasie Pascal Contributions to Mathematics