Blaise Pascals Contributions to Mathematics Blaise Pascal had great

# Blaise pascals contributions to mathematics blaise

• 5

This preview shows page 3 - 5 out of 5 pages.

Blaise Pascal’s Contributions to Mathematics Blaise Pascal had great contributions in mathematics through his inventions and discoveries. One of his earliest contributions was the Pascaline, the first calculating machine. Inspired by the work that his father did, collection of taxes, Blaise Pascal invented the calculator to help his father do his work more efficiently (Wilson 96). In fact, the Pascaline was never used commercially since at the time, many thought that it would create unemployment since it could do the work of six people. Secondly, he published the “Treatise on the Arithmetical Triangle that described a convenient tabular presentation on how to work on binomial coefficients, what is called today Pascal’s triangle in mathematics. Using the triangle, each number is the sum of the two numbers above it. Binomial is a type of algebraic expression that has two terms operated only by addition, subtraction, and multiplication of whole number exponents. Imperatively, the coefficient produced when a binomial expression is expanded forms a symmetrical triangle, the Pascal’s triangle. In his work on the roulette machine, Pascal started correspondence with a mathematical theorist Pierre de Fermant in 1654. The two mathematical thinkers discussed much about gambling and Pascal’s experiment. Therefore, through these trials, Pascal discovered that there was a fixed likelihood that a particular outcome when a dice is rolled. It is on this basis that Pascal discovered the mathematical theory of probability (Grant & Israel 27). However, his writings on the theory were published after his untimely death. The expected value of a gamble and something occurring was born because of the interaction Surname 4 between Blaise Pascal and Pierre de Fermant. These two great mathematical thinkers of the time laid the groundwork for Leibniz’s formulation of the calculus in mathematics. The two mathematicians contributed greatly to the calculation of probabilities by advancing the idea of equally probable outcomes. They stated that probability of something taking place can be calculated before the real event occurs. The calculation allowed the use of fractions and ratios in the determination of the likelihood of these events (Akyıldırım & Halil 60).  #### You've reached the end of your free preview.

Want to read all 5 pages?

• • •  