Blasie Pascal Contributions to Mathematics
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Blaise Pascal was a French mathematician born in 1623 who made several important contributions to mathematics. He began studying mathematics on his own at a young age and discovered properties of triangles. His father then supported his mathematical studies and introduced him to other mathematicians. Pascal published his first book on geometry at age 16 and invented a mechanical calculator called the Pascaline at age 18. He went on to publish important works on probability theory and binomial coefficients that established him as one of the most influential mathematicians of all time.
Blasie Pascal Contributions to Mathematics
- 1. Life And Contribution to Mathematics
- 2. Blaise Pascal Biography Born in 1623 in Clermont, France, Blaise Pascal is one of the most well known mathematicians of all times.
- 3. Blaise Pascal Biography 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
- 4. Blaise Pascal Biography 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.
- 5. Blaise Pascal BiographyAt 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.
- 6. Blaise Pascal BiographyAt 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.
- 7. Blaise Pascal BiographyPascal'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..
- 8. Blaise Pascal BiographyBy 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.
- 9. Blaise Pascal BiographyAt age 18 Pascal began working on his calculating machine which was completed in 1644. (At this time Blaise Pascal was 20 years old).
- 10. Blaise Pascal Biography 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.
- 12. Blaise Pascal Biography 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.
- 13. Blaise Pascal Biography Pascal died in intense pain after a malignant growth in his stomach spread to his brain on August 19, 1662 at 38 years old.
- 15. Blaise Pascal Calculating 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)
- 17. Blaise Pascal Probability TheoryA 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.
- 18. Blaise Pascal Probability TheoryIn 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)
- 19. Blaise 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).
- 20. Blaise Pascal –Pascal Triangle Pascal's Triangle can also show you the coefficients in binomial expansion
- 21. Pascal Triangle The QuincunxAn 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.
- 23. Life And Contribution to Mathematics