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Science during the Renaissance period
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Science during the Renaissance period
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Some people hate math and some love it. Other people devote their time to finding math patterns because they do not have a life. Leonardo Pisano Fibonacci, or Leonardo of Pisa, was one of those people. He was the "greatest European mathematician of the middle ages". Fibonacci was born 1175 AD in Pisa, Italy. His father was named Guilielmo, a member of the Bonacci Family and his mother Alessandra died when he was only nine years old. Fibonacci grew up with a North African Education because his father worked a trading post in that location. While there helping his father, he learned the Hindu-Arabic numeral system. Fibonacci traveled the Mediterranean world to study about Arab mathematicians of the time. Leonardo returned from his travels around 1200. In 1202, at age 32, he published what he had learned and introduced Hindu-Arabic numerals to Europe. His book was called Liber abaci. The book explained numeration with the digits 0?9 and place value. It also showed the importance of the new numeral system. The book educated Europe and had an impact on European thought. However, the use of decimal numerals did not become widespread until much later. Liber Abaci also solved a problem involving the growth of a supposed population of rabbits. The solution was a series of numbers known as Fibonacci numbers. The number sequence was known to Indian mathematicians as early as the 6th century, but Fibonacci's Liber Abaci introduced it to the West.
The Fibonacci numbers are a sequence of numbers that begin with 0, 1 ... and then calculated each number from the sum of the previous two. The equation for this method is . Another theory he studied was a sequence that has a flower like pattern. Fibonacci's second work was the Practica geometriae and was composed in 1220-1221. The Practica geometriae draws heavily on the works of the ancient Greek masters i.e. Plato. Fibonacci made a dent in mathematics history.
Leonardo da Vinci was a famous painter, sculptor, and inventor that lived from 1452-1519. He was born in a small Italian town of Vinci and lived on a small estate that his father owned. Leonardo kept the name of the town that he was born in for his last name. Since his mother did not marry his father, he could not inherit his father’s land, nor did he have much going for him as a wealthy businessman. When people think of Leonardo da Vinci, they mostly associate him with art and paintings, such as his famous Mona Lisa and The Last Supper. Leonardo believed that art was correlated to science and nature. Da Vinci was largely self-educated and he filled endless notebooks with examinations and suppositions about pursuits from aeronautics to anatomy.
Leonardo Da Vinci was born on Saturday April 19, 1452, just outside the small village of Vinci, in Italy’s Tuscany region (Kalz 20). He was born from a peasant woman named Caterina and fathered by a lawyer with the name of Ser Piero Da Vinci. His parents were not married (Macdonald 5). When Leonardo was a one year old his mother left him with his father for some other man. His father wanted him to be successful, so at the age of fourteen his father sent him to become an apprentice of a famous artist in Florence, Italy called Andrea Del Verrocchio (Macdonald 5). His apprenticeship lasted twelve years (Kalz 23), in which time Verrocchio inspired and encouraged Leonardo to be a free-thinker (Reed 28). Before his apprenticeship Leonardo had little formal education (Reed 9). After his apprenticeship under Andrea Del Verrocchio he began to work under Lorenzo de’ Medici (Kalz 23). In 1482, at the age of thirty, Leonardo moved to Milan and gained favor of the duke of Milan, Ludovico Sforza due to his singing voice and talent on the flute (Kalz 23). In 1483, while still living in Milan, Leonardo started his Treatise on Painting, which has many notes on experiments he continued on different ideas on optics such as the eyes, light, and shapes (Reed 28). Leonardo’s good fortune was interrupted in 1499 when the French inv...
Fibonacci was born in Pisa, Italy (1175 A.D.) with Guilielmo Pisano as a father and a member of the Bonacci family as a mother. Fibonacci was part White and part Italian. His hometown was rather popular because of the Pisa Tower (slanted tower) but later on because of him. As a child, Fibonacci traveled very often with his father all around the Mediterranean Sea. His father, Guilielmo was a businessman and soon had influenced Fibonacci into doing the same. Guilielmo held the position of secretary of the Republic of Pisa, in the Province of Tuscany. He also wanted for Fibonacci to become a merchant thus arranged for his instruction in calculation techniques. While both father and son traveled, Fibonacci began to learn mathematics in Bugia, Africa. As he began to grow, he became a wealthy merchant who had a particular interest in numbers.
The mathematicians of Pythagoras's school (500 BC to 300 BC) were interested in numbers for their mystical and numerological properties. They understood the idea of primality and were interested in perfect and amicable numbers.
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.
‘Nature abounds with example of mathematical concepts’ (Pappas, 2011, .107). It is interesting how much we see this now we know, regarding the Fibonacci Sequence, which is number pattern where the first number added to itself creates a new number, then adding that previous number to the new number and so on. You will notice how in nature this sequence always adds up to a Fibonacci number, but alas this is no coincidence it is a way in which plants can pack in the most seeds in a small space creating the most efficient way to receive sunlight and catches the most
Fibonacci Numbers originated from India hundreds of years ago. Though Fibonacci Numbers came from India, Leonardo of Pisa, better known as Fibonacci, made it known to the world. Leonardo came from a wealthy Italian family and traveled to North America to join his father. He was educated by the Moors and sent on business trips. “After returning to Pisa around 1200, Leonardo wrote his most famous literature, Liber Abaci” (Pearson). Leonardo featured a rabbit question in the book. The question was asked in a mathematical competition, he appeared in when he was young. Leonardo Fibonacci used the Fibonacci Numbers to solve it. Fibonacci Numbers is now used throughout our society.
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
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.
Carl Friedrich Gauss was born April 30, 1777 in Brunswick, Germany to a stern father and a loving mother. At a young age, his mother sensed how intelligent her son was and insisted on sending him to school to develop even though his dad displayed much resistance to the idea. The first test of Gauss’ brilliance was at age ten in his arithmetic class when the teacher asked the students to find the sum of all whole numbers 1 to 100. In his mind, Gauss was able to connect that 1+100=101, 2+99=101, and so on, deducing that all 50 pairs of numbers would equal 101. By this logic all Gauss had to do was multiply 50 by 101 and get his answer of 5,050. Gauss was bound to the mathematics field when at the age of 14, Gauss met the Duke of Brunswick. The duke was so astounded by Gauss’ photographic memory that he financially supported him through his studies at Caroline College and other universities afterwards. A major feat that Gauss had while he was enrolled college helped him decide that he wanted to focus on studying mathematics as opposed to languages. Besides his life of math, Gauss also had six children, three with Johanna Osthoff and three with his first deceased wife’s best fri...
By 1904 Ramanujan had begun to undertake deep research. He investigated the series (1/n) and calculated Euler's constant to 15 decimal places. He began to study the numbers, which is entirely his own independent discovery.
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 history of math has become an important study, from ancient to modern times it has been fundamental to advances in science, engineering, and philosophy. Mathematics started with counting. In Babylonia mathematics developed from 2000B.C. A place value notation system had evolved over a lengthy time with a number base of 60. Number problems were studied from at least 1700B.C. Systems of linear equations were studied in the context of solving number problems.
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.