You must have heard of the Pascal triangle, how two numbers above add up to the number below and etcetera etcetera, but do you know the person behind the triangle? Who invented the Pascal triangle? Who turned a calculating machine that only existed in dreams into reality? In this report, we will be investigating, not only about what he invented, but he himself as well. He is Blaise Pascal.
Our team had decided to research on a Mathematician, because we believe that there is an inspiring yet neglected story behind every great figure. We specifically chose Pascal because of his well known invention: the Pascal Triangle - many people know a lot about it, but they do not know about Pascal himself.
In this report, we aim to dig deeper into Pascal, to learn more about his short yet remarkable life and what he has contributed to mankind. Covering a detailed introduction to Blaise Pascal’s family, education, religious beliefs, and a few briefer investigations into the Pascal Triangle and the Pascaline, this report guarantees to grant you some special knowledge about the father of the triangle.
Blaise Pascal
[Mathematician], Physicist, Inventor, Writer, Christian Philosopher*
[Born]: 19th June 1623
[Died]: 19th August 1662 (at the age of 39)
[Family]: Blaise’s mother, Antionette Pascal, passed away in 1626 when Blaise was only three years old. He was the only son and was extremely close to his two older sisters, Gilberte and Jacqueline. Blaise’s father, Etienne Pascal who died in 1651, was exceptionally good at Maths.
[Where he lived]: Blaise Pascal was born in Clermont-Ferrand, France, where his father worked as the President of the Court of Aids, which was one of the highest courts in France during the 15th to 18th century...
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... http://ptri1.tripod.com/ http://pages.csam.montclair.edu/~kazimir/history.html http://en.wikipedia.org/wiki/Jansenism http://mathforum.org/mathimages/imgUpload/Pascals-triangle-powers-11.gif http://www.cut-the-knot.org/arithmetic/combinatorics/PascalTriangleProperties.shtml http://upload.wikimedia.org/wikipedia/commons/7/79/Blaise_pascal.jpg http://www.mathsisfun.com/pascals-triangle.html http://www.tradingfives.com/articles/pinball5.jpg http://www.educalc.net/196488.page http://www-history.mcs.st-andrews.ac.uk/Biographies/Pascal.html http://www.notablebiographies.com/Ni-Pe/Pascal-Blaise.html http://inventors.about.com/od/frenchinventors/a/Biography-Of-Blaise-Pascal.htm http://www.patient.co.uk/health/dyspepsia-indigestion http://math.berkeley.edu/~robin/Pascal/ http://www.biography.com/people/blaise-pascal-9434176 http://en.wikipedia.org/wiki/Society_of_Jesus
Blaise Pascal was born on 19 June 1623 in Clermont Ferrand. He was a French mathematician, physicists, inventor, writer, and Christian philosopher. He was a child prodigy that was educated by his father. After a horrific accident, Pascal’s father was homebound. He and his sister were taken care of by a group called Jansenists and later converted to Jansenism. Later in 1650, the great philosopher decided to abandon his favorite pursuits of study religion. In one of his Pensees he referred to the abandonment as “contemplate the greatness and the misery of man”.
Blaise Pascal was born on June 19, 1623. Pascal was a mathematician along with a Christian philosopher who wrote the Pensees which included his work called Pascal’s wager. The crucial outline of this wagers was that it cannot be proved or disprove that God does exists. There are four main parts to the wager that include his reasoning to that statement. It has been acknowledged that Pascal makes it clear that he is referring to the Christian God in his wager. This is the Christian God that promises his people will be rewarded with eternal life along with infinite bliss.
Jean-Paul Sartre was born on June 21, 1905, and lost his father a little over a year later. His mother, Anne-Marie was raised uneducated in an educated family and moved back in with her own father, the teacher Karl Schweitzer, uncle of the famous philosopher and missionary, Albert Schweitzer. She promptly lost control of her infant son. Jean-Paul became the immediate favorite of his g...
Blaise Pascal lived during a time when religion and science were clashing and challenging previous discoveries and ideas. Pascal lived from 1623 to 1662 due to his untimely death at the age of thirty nine. The scientific community grew enormously and Pascal was a great contributor to this growth. The growth in the scientific community is known as the Scientific Revolution. He lived in a time where an absolute monarch came into power, King Louis the XIV. Louis XIV was a believer in “one king, one law, and one faith” (Spielvogel, 2012). Pascal saw the destruction of protestant practices in France and the growth and acceptance of scientific discoveries. He used the scientific method to refine previous experiments that were thought to be logical but Pascal proved otherwise and eventually led to Pascal’s Law. He spent his life devoted to two loves: God and science. Within his book, “Pensees,” Pascal argues and shares his thoughts about God, science, and philosophy.
René Descartes was born on March 31, 1596, in La Haye, France, which has been renamed after him, Descartes. He was the baby out of his three siblings. His mom named Jeanne Brochard had died before he turned one year old. His father, Joachim Brochard, a council member in the provincial parliament, sent his kids to live with their grandmother. The father left them with the grandmother while he himself remarried and enjoyed the bliss of not having children under his feet. He still was a stickler for a good education and having a legacy so he sent 8 year old Rene to the Jesuit college of Henri IV where he stayed until he was 15.
René Descartes was a French philosopher born in La Haye, France, on March 31, 1596. In the 17th century. Now that town is now named after him, because of the great things he has done. He spent most of his life in the Dutch Republic He had two siblings and was the youngest. His father and mother's name were Joachim and Jeanne Brochard. His mother died before his first birthday. In addition, his father was in the provincial parliament as a council member. After their mother died, Joachim had the kids go live with their grandmother on their mom's side. They stayed there even though their father eventually remarried. Even though their father did not want them around, he still wanted the best education for his children so he sent René when he was eight, to boarding school to the Jesuit college of Henri IV in La Flèche. And he stayed there until he was 15.
Montaigne was born into a very wealthy family on February 28, 1533 in the town of Saint Michel de Montaigne. Soon after birth, his father sent him to a small cottage to live the first 3 years of his life with a peasant family in order to “draw the boy close to the people”. After these years, Montaigne was sent back to his family estate and was taught Latin as his first language. Later in his
Computer engineering started about 5,000 years ago in China when they invented the abacus. The abacus is a manual calculator in which you move beads back and forth on rods to add or subtract. Other inventors of simple computers include Blaise Pascal who came up with the arithmetic machine for his father’s work. Also Charles Babbage produced the Analytical Engine, which combined math calculations from one problem and applied it to solve other complex problems. The Analytical Engine is similar to today’s computers.
Fibonacci was born in approximately 1175 AD with the birth name of Leonardo in Pisa, Italy. During his life he went by many names, but Leonardo was the one constant. Very little is known of his early life, and what is known is only found through his works. Leonardo’s history begins with his father’s reassignment to North Africa, and that is where Fibonacci’s mathematical journey begins. His father, Guilielmo, was an Italian man who worked as a secretary for the Republic of Pisa. When reassigned to Algeria in about 1192, he took his son Leonardo with him. This is where Leonardo first learned of arithmetic, and was interested in the “Hindu-Arabic” numerical style (St. Andrews, Biography). In 1200 Leonardo ended his travels around the Mediterranean and returned to Pisa. Two years later he published his first book. Liber Abaci, meaning “The Book of Calculations”.
There have been many great mathematicians in the world, though many are not well known. People have been studying math for ages, the oldest mathematical object dated all the way back to around 35,000 BC. There are still mathematicians today, studying math and figuring out ways to improve the mathematical world. Some of the most well-known mathematicians include Isaac Newton, Albert Einstein, and Aristotle. These mathematicians (and many more) have influenced the mathematical world and mathematics would not be where it is today without them. There were many great individuals who contributed greatly in mathematics but there was one family with eight great mathematicians who were very influential in mathematics. This was the Bernoulli family. The Bernoulli family contributed a lot to mathematics, medicine, physics, and other areas. Even though they were great mathematicians, there was also hatred and jealousy between many of them. These men did not want their brothers or sons outdoing them in mathematics. Most Bernoulli fathers told their sons not to study mathematics even if they wanted. They were told to study medicine, business, or law, instead, though most of them found a way to study mathematics. The mathematicians in this family include Jacob, Johann, Daniel, Nicolaus I, Nicolaus II, Johann II, Johann III, and Jacob II Bernoulli.
If you have ever heard the phrase, “I think; therefore I am.” Then you might not know who said that famous quote. The author behind those famous words is none other than Rene Descartes. He was a 17th century philosopher, mathematician, and writer. As a mathematician, he is credited with being the creator of techniques for algebraic geometry. As a philosopher, he created views of the world that is still seen as fact today. Such as how the world is made of matter and some fundamental properties for matter. Descartes is also a co-creator of the law of refraction, which is used for rainbows. In his day, Descartes was an innovative mathematician who developed many theories and properties for math and science. He was a writer who had many works that explained his ideas. His most famous work was Meditations on First Philosophy. This book was mostly about his ideas about science, but he had books about mathematics too. Descartes’ Dream: The World According to Mathematics is a collection of essays talking about his views of algebra and geometry.
Ada Lovelace was the daughter of famous poet at the time, Lord George Gordon Byron, and mother Anne Isabelle Milbanke, known as “the princess of parallelograms,” a mathematician. A few weeks after Ada Lovelace was born, her parents split. Her father left England and never returned. Women received inferior education that that of a man, but Isabelle Milbanke was more than able to give her daughter a superior education where she focused more on mathematics and science (Bellis). When Ada was 17, she was introduced to Mary Somerville, a Scottish astronomer and mathematician who’s party she heard Charles Babbage’s idea of the Analytic Engine, a new calculating engine (Toole). Charles Babbage, known as the father of computer invented the different calculators. Babbage became a mentor to Ada and helped her study advance math along with Augustus de Morgan, who was a professor at the University of London (Ada Lovelace Biography Mathematician, Computer Programmer (1815–1852)). In 1842, Charles Babbage presented in a seminar in Turin, his new developments on a new engine. Menabrea, an Italian, wrote a summary article of Babbage’s developments and published the article i...
"programming" rules that the user must memorize, all ordinary arithmetic operations can be performed (Soma, 14). The next innovation in computers took place in 1694 when Blaise Pascal invented the first “digital calculating machine”. It could only add numbers and they had to be entered by turning dials. It was designed to help Pascal’s father who
The history of the computer dates back all the way to the prehistoric times. The first step towards the development of the computer, the abacus, was developed in Babylonia in 500 B.C. and functioned as a simple counting tool. It was not until thousands of years later that the first calculator was produced. In 1623, the first mechanical calculator was invented by Wilhelm Schikard, the “Calculating Clock,” as it was often referred to as, “performed it’s operations by wheels, which worked similar to a car’s odometer” (Evolution, 1). Still, there had not yet been anything invented that could even be characterized as a computer. Finally, in 1625 the slide rule was created becoming “the first analog computer of the modern ages” (Evolution, 1). One of the biggest breakthroughs came from by Blaise Pascal in 1642, who invented a mechanical calculator whose main function was adding and subtracting numbers. Years later, Gottfried Leibnez improved Pascal’s model by allowing it to also perform such operations as multiplying, dividing, taking the square root.
The fist computer, known as the abacus, was made of wood and parallel wires on which beads were strung. Arithmetic operations were performed when the beads were moved along the wire according to “programming” rules that had to be memorized by the user (Soma, 14). The second earliest computer, invented by Blaise Pascal in 1694, was a “digital calculating machine.” Pascal designed this first known digital computer to help his father, who was a tax collector. Pascal’s computer could only add numbers, and they had to be entered by turning dials (Soma, 32). It required a manual process like its ancestor, the abacus. Automation was introduced in the early 1800’s by a mathematics professor named Charles Babbage. He created an automatic calculation machine that was steam powered and stored up to 1000 50-digit numbers. Unlike its two earliest ancestors, Babbage’s invention was able to perform various operations. It relied on cards with holes punched in them, which are called “punch cards.” These cards carried out the programming and storing operations for the machine. Unluckily, Babbage’s creation flopped due to the lack of mechanical precision and the lack of demand for the product (Soma, 46). The machine could not operate efficiently because technology was t adequate to make the machine operate efficiently Computer interest dwindled for many years, and it wasn’t until the mid-1800’s that people became interested in them once again.