Leonardo Pisano, the greatest mathematician of the middle ages, was born in 1175 in Pisa, Italy. After studying the Hindu-Arabic mathematics systems in India he brought them back to Europe to replace Roman Numerals, which were very hard to do even basic arithmetic with and lacked the number zero. Pisano also brought back the decimal positioning system when he returned to Europe. He did both of these things by describing them in one of his books, Liber Abaci (The Book of Calculations), which was published in Europe and was among the first to introduce the ideas. Pisano was never actually known as Fibonacci during his own time. The only reason that people know him as such is because of a mistake. When scholars were reading the title of one of Pisano’s books centuries after his death, they misinterpreted “filius Bonacci” or “Son of Bonacci” as his last name and the now famous name was created. This is not an unusual mistake, though, considering the age of the books and the fact that they would have all been hand written and copied due to the lack of printing during Pisano’s life. Surprisingly, Pisano did not discover the sequence that he is so famous for, the Fibonacci sequence. He most likely learned of it and the accompanying “Rabbit Problem” when he was in India. A Sanskrit grammarian named Pingala has been credited with the first mentioning the series. It is thought that he first mentioned it between 500 B.C. and 100 or 200 A.D., at least 975 years before Pisano was even born. The famous sequence bears Pisano’s name is because of a French man named Edouard Lucas (1842 - 1891), who gave the Fibonacci sequence its nomenclature. Lucas found many more important applications of the sequence and has a set of numbers closely related to... ... middle of paper ... ... Numbers of Fibonacci." Plus.maths.org. N.p., 4 Nov. 2003. Web. 01 Apr. 2014. . Knott, Ron. "Contents of This Page." Who Was Fibonacci? N.p., 28 Sept. 2009. Web. 01 Apr. 2014. . Masters, Jeff. "Dr. Jeff Masters' WunderBlog." : The 360-degree Rainbow. N.p., 14 Sept. 2010. Web. 01 Apr. 2014. . "Picture of the Week | ESO United States." Picture of the Week | ESO United States. European Southern Observatory, n.d. Web. 01 Apr. 2014. . Rouse, Margaret. "Fibonacci Sequence." What Is ? N.p., July 2007. Web. 01 Apr. 2014. .
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S.K., Morgan. "Welcome to Facts 4 Me Display of Information." Welcome to Facts 4 Me Display of Information. N.p., 2011. Web. 21 Apr. 2014. .
The “Blaise Pascaline,” as referred to in [3] would be considered today as an early version of a calculator. This project derived in part from helping out his father who had been promoted as a tax clerk, a job which required him to perform long calculations at work. Only one other mechanical device was known to add up figures before the Pascaline and that was known as the Schickard's calculating clock, created by German professor Wilhelm Schickard. Unlike Schickard device, Pascal’s calculator had a larger number of production and use despite the somewhat unreliability of the device. The device consisted of a wheel with eight movable parts for dialing and each part corresponding to a particular digit in a number. It worked by using gears and pins to add integers; addends were entered by hand and carriers from one column to the next were broadcast internally by falling weights lifted and dropped by the pins attached to the gears. It could even be manipulated to subtract, multiply and divide if one knew their way around the Pascaline. Subtraction was done by adding the nines complement version of the number being subtracted. Multiplication; accomplished by repeating additions and division performed by repeating subtractions. Balise Pascals went on to inspire directly inspired further work on calculating machines by other inventors such as Gottfried Leibniz and Samuel
Rauf, Don. "The Real Cost Of College." Careers & Colleges 28.2 (2008): 6-10. Academic Search Complete. Web. 28 Feb. 2014.
The great field of mathematics stretches back in history some 8 millennia to the age of primitive man, who learned to count to ten on his fingers. This led to the development of the decimal scale, the numeric scale of base ten (Hooper 4). Mathematics has grown greatly since those primitive times, in the present day there are literally thousands of laws, theorems, and equations which govern the use of ten simple symbols representing the ten base numbers. The field of mathematics is ever changing, and therefor, there is a great demand for mathematicians to keep improving our skills in utilizing the numeric system. Many great people, both past and present, have made great contributions to the field. Among the most famous are Archimedes, Euclid, Ptolemy, and Pythagoras, all of which are men. This seems to be a common trend in mathematics, for almost all classical mathematicians were male.
No other scholar has affected more fields of learning than Blaise Pascal. Born in 1623 in Clermont, France, he was born into a family of respected mathematicians. Being the childhood prodigy that he was, he came up with a theory at the age of three that was Euclid’s book on the sum of the interior of triangles. At the age of sixteen, he was brought by his father Etienne to discuss about math with the greatest minds at the time. He spent his life working with math but also came up with a plethora of new discoveries in the physical sciences, religion, computers, and in math. He died at the ripe age of thirty nine in 1662(). Blaise Pascal has contributed to the fields of mathematics, physical science and computers in countless ways.
Chevrier, Donna. (1994, July). Let's Face It. CMA Magazine, Vol. 68, pp. 26 - 27.
The recursive sequence of numbers that bear his name is a discovery for which Fibonacci is popularly known. While it brought him little recognition during the course of his life, is was nearly 100 years later when the majority of the mathematicians recognized and appreciated his invention. This fascinating and unique study of recursive numbers possess all sorts of intriguing properties that can be discovered by applying different mathematical procedures to a set of numbers in a given sequence. The recursive / Fibonacci numbers are present in everyday life and they are manifested in the everyday life in which we live. The formed patterns perplex and astonish the minds in real world perspectives. The recursive sequences are beautiful to study and much of their beauty falls in nature. They highlight the mathematical complexity and the incredible order of the world that we live in and this gives a clear view of the algorithm that God used to create some of these organisms and plants. Such patterns seem not have been evolved by accident but rather, they seem to have evolved by the work of God who created both heaven and
Johnson, Sarah. "Brazosport College Library Research Database Access." Brazosport College Library Research Database Access. Web. 20 Apr. 2014. .
The Fibonacci Sequence was discovered by Leonardo Fibonacci. It is a sequence of numbers in which the next number is the sum of the two numbers previous to it. There is a direct correlation between this sequence of numbers and the Golden Ratio. If you were to take two adjacent numbers in the Fibonacci sequence and divide them, their ratio would be very close to the Golden Ratio. Also, as the numbers get higher, their ratios get closer to the golden ratio itself. For example, the ratio of 5 to 3 is 1.666… But the ratio of 21 to 12 is 1.615… Getting even higher, the ratio of 233 to 144 is
They constructed the 12-month calendar which they based on the cycles of the moon. Other than that, they also created a mathematical system based on the number 60 which they called the Sexagesimal. Though, our mathematics today is not based on their system it acts like a foundation for some mathematicians. They also used the basic mathematics- addition, subtraction, multiplication and division, in keeping track of their records- one of their contributions to this world, bookkeeping. It was also suggested that they even discovered the number of the pi for they knew how to solve the circumference of the circle (Atif, 2013).
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 17th Century saw Napier, Briggs and others greatly extend the power of mathematics as a calculator science with his discovery of logarithms. Cavalieri made progress towards the calculus with his infinitesimal methods and Descartes added the power of algebraic methods to geometry. Euclid, who lived around 300 BC in Alexandria, first stated his five postulates in his book The Elements that forms the base for all of his later Abu Abd-Allah ibn Musa al’Khwarizmi, was born abo...
The Fibonacci Series was discovered around 1200 A.D. Leonardo Fibonacci discovered the unusual properties of the numeric series, that’s how it was named. It is not proven that Fibonacci even noticed the connection between the Golden Ratio meaning and Phi.
The man behind the Fibonacci numbers, Leonardo Fibonacci, was born in Pisa in 1175 A.D. During his life, he was a customs officer in Africa and businessman who traveled to various places. During these trips he gained knowledge and skills which enabled him to be recognized by Emperor Fredrick II. Fredrick II noticed Fibonacci and ordered him to take part in a mathematical tournament. This place would eventuall...