Fibonacci Sequence Definition Example Essays

Fibonacci Numbers Essay

Its a good essay, for a Math project. Well don, although you could have had more specific examples.

The Fibonacci numbers were first discovered by a man named Leonardo

Pisano. He was known by his nickname, Fibonacci. The Fibonacci sequence is a

sequence in which each term is the sum of the 2 numbers preceding it. The first 10

Fibonacci numbers are: (1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89). These numbers are

obviously recursive.

Fibonacci was born around 1170 in Italy, and he died around 1240 in Italy.

He played an important role in reviving ancient mathematics and made significant

contributions of his own. Even though he was born in Italy he was educated in

North Africa where his father held a diplomatic post. He did a lot of traveling with

his father. He published a book called Liber abaci, in 1202, after his return to Italy.

This book was the first time the Fibonacci numbers had been discussed. It was

based on bits of Arithmetic and Algebra that Fibonacci had accumulated during his

travels with his father. Liber abaci introduced the Hindu-Arabic place-valued

decimal system and the use of Arabic numerals into Europe. This book, though,

was somewhat contraversial because it contradicted and even proved some of the

foremost Roman and Grecian Mathematicians of the time to be false. He published

many famous mathematical books. Some of them were Practica geometriae in

1220 and Liber quadratorum in 1225.

The Fibonacci sequence is also used in the Pascal trianle.

The sum of each diagnal row is a

fibonacci number. They are also in the right sequence: 1,1,2,5,8.........

Fibonacci sequence has been a big factor in many patterns of things in nature.

One has found that the fractions u/v representing the screw-like arrangement of

leaves quite often are members of the fibonacci sequence. On many plants, the

number of petals is a...

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The relationship between mathematics and science has long been studied by philosophers, mathematicians, scientists, and historians. Since ancient times, people have sought to understand the world around them and looked for mathematical explanations for natural phenomena. Some say that mathematics is the language of science; indeed, it has enabled humankind to make remarkable advances in science and technology. For example, people have put satellites in orbit and sent space probes to study other planets by understanding the mathematics that describes gravity and the motion of objects. However, the question remains: Did humans invent mathematics to help describe nature, or are we just discovering something that is intrinsic to nature itself?

One fascinating mathematical pattern that shows up in unexpected places is the Fibonacci sequence. Each subsequent number in the Fibonacci sequence is the sum of the previous two numbers. The sequence begins with 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, and continues infinitely. The Fibonacci sequence is named after an Italian mathematician who introduced it to Western mathematics in 1202; it had, however, been known in India before that time. The numbers of the Fibonacci sequence have connections to various aspects of mathematics as well as applications in economics and computer science. In addition, Fibonacci numbers are commonly found in biological systems. For example, the family tree of a male honeybee—a drone—follows the Fibonacci sequence. Female bees have two parents, but drones hatch from unfertilized eggs. The numbers of each generation follow the Fibonacci sequence: each drone has one parent, two grandparents, three great-grandparents, five great-great-grandparents, and so on. Fibonacci numbers are also expressed in the way some plants grow. They appear in the arrangement of leaves on stems, the branching of trees, the number of petals on a flower, and the spiral patterns of seed heads and pinecones.

Pi (or π) is another example of a compelling connection between mathematics and the physical world. Pi is a mathematical constant commonly defined as the ratio of a circle's circumference to its diameter. It is often approximated as 3.14159, although computers have been used to calculate it to the trillions digits. Pi is an irrational number that cannot be expressed as a fraction and has an infinite number of digits in its decimal representation. The Greek letter symbol was widely adopted in the 18th century; however, humans have known about the approximate value of pi for thousands of years. Although pi is related to the geometry of circles, it also appears in many other areas of mathematics and science, including trigonometry, statistics, fractals, cosmology, classical mechanics, quantum mechanics, electromagnetism, and thermodynamics.

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