Blaise Pascal's Contributions to Calculus
Probability refers to the likelihood or relative frequency for something to happen. Blaise Pascal is referred to as the father of probability. Pascal contributed to the branch of mathematics known as probability in 1653. Through his work in probability, Pascal invented the binomial coefficients which are now known as Pascal’s Triangle. Pascal’s major input to the philosophy of mathematics came with his “Of the Geometric Spirit””.1 Blaise Pascal was also a major contributor to the founding of Statistics.
Blaise Pascal contributed to mathematics in many ways, but one of the most important contributions he made was the creation of Binomial Coefficients; now known as Pascal’s Triangle. “Pascal's triangle determines the coefficients which arise in binomial expansions”.1 Pascal’s Triangle has advanced dimension overviews. The three dimensional version is called: “Pascal’s Pyramid”, while the standard one is called Pascal’s simplices. The numbers that are used in Pascal’s Triangle were numbers that were used before; he just integrated them into his invention. A simple explanation of how Pascal’s Triangle is constructed is this: “The rows of Pascal's triangle are conventionally enumerated starting with row n = 0 at the top. The entries in each row are numbered from the left beginning with k = 0 and are usually staggered relative to the numbers in the adjacent rows. A simple construction of the triangle proceeds in the following manner. On row 0, write only the number 1. Then, to construct the elements of following rows, add the number above and to the left with the number above and to the right to find the new value. If either the number to the right or left is not present, substitute a zero in its place. For example, the first number in the first row is 0 + 1 = 1, whereas the numbers 1 and 3 in the third row are added to produce the number 4 in the fourth row”.1 Pascal’s Triangle can also be used to find combinations. By using certain row numbers with the amount of
Blaise Pascal contributed to mathematics in many ways, but one of the most important contributions he made was the creation of Binomial Coefficients; now known as Pascal’s Triangle. “Pascal's triangle determines the coefficients which arise in binomial expansions”.1 Pascal’s Triangle has advanced dimension overviews. The three dimensional version is called: “Pascal’s Pyramid”, while the standard one is called Pascal’s simplices. The numbers that are used in Pascal’s Triangle were numbers that were used before; he just integrated them into his invention. A simple explanation of how Pascal’s Triangle is constructed is this: “The rows of Pascal's triangle are conventionally enumerated starting with row n = 0 at the top. The entries in each row are numbered from the left beginning with k = 0 and are usually staggered relative to the numbers in the adjacent rows. A simple construction of the triangle proceeds in the following manner. On row 0, write only the number 1. Then, to construct the elements of following rows, add the number above and to the left with the number above and to the right to find the new value. If either the number to the right or left is not present, substitute a zero in its place. For example, the first number in the first row is 0 + 1 = 1, whereas the numbers 1 and 3 in the third row are added to produce the number 4 in the fourth row”.1 Pascal’s Triangle can also be used to find combinations. By using certain row numbers with the amount of