Analysis Of The Book ' Fibonacci Rabbits '

Math through the Ages provides an interesting and concise analysis of the mathematical culture of different societies in history. The section “The History of Mathematics in a Large Nutshell” provides an interesting discussion of Greek mathematics. The mathematics of the culture both influenced and was influenced by the culture of the society. The Greeks were most likely the most important historical society in the Western world. They spread their vast knowledge and affected the mathematical traditions of the world.

According to document 4, Al-Khwarizmi, a Muslim mathematician wrote a textbook in the 800’s about algebra which was later adopted throughout Europe. Muslim mathematicians also adopted Arabic numerals from Indians and used them in place-value system. (Doc. 4) These mathematical advances also led to the creation of simple yet complicated structures. Also, after using their observations and their understanding of mathematics, Muslim scholars were able to make an advancement in mapmaking. They used astrolabe and armillary sphere to help study skies and make calculations for calendars and maps. (Doc.

One of my favorite sources happens to be a video produced by Phil Riehl; entitled Fibonacci Numbers in Lateralus. [6] As the video points out what antiquity has amply annotated, math has been and continues to be utilized by all types of composers to fill sheets of astonishing emotional melodies for the masses to adore. Fibonacci Numbers in Lateralus blends history and fundamental mathematical approaches in music composition in order to provide a simple design methodology pertaining to Fibonacci numbers. Riehl’s analyzation of Tool’s song Lateralus (composed by Danny Carey) walks viewers through the Fibonacci numbers application, beginning with the drum introduction and through the sequencing of the lyrics. This study leaves no room for debate, as the evidence it produces is simply overwhelming.

I firmly believe that the theory concerning the magical properties of the number seven invented by the 'Mother of Magical Arithmancy' Bridget Wenlock to be the most important discovery to occur in the field of Arithmancy. 'The Theory of the Number Seven' is basically instances in which the magic that surrounds the number becomes clear. For example, the age at which a witch or wizard generally shows their first signs of magic, the number of obstacles put in place to protect the Philosopher's Stone, and the number of years of schooling availlable here at Hogwarts, are all occasions where the number seven is present.

Boyer, C., & Merzbach, U. (1991). A history of mathematics (2nd ed.). New York: Wiley.

Some of Fibonacci’s awards were the statue that the republic of Pisa made for Fibonacci in the 19th Century, since he helped spread the arabic numeral system. The statue is in the city of Camposanto. He also got a salary for the arabic numeral system and the Fibonacci Sequence.

After all of his research, Jared Estrada was very proud of the level of understanding he obtained on Fibonacci Sequences. He was very interested in the topic of whether mathematics was invented or discovered. He valued both sides of the research. Jared experienced difficulties at first with determining a topic and then finding enough resources. We were able to meet and help him work through these troubles. In the end, he struggled with word count. He was able to overcome this by us meeting and discussing ways to expand each subject heading with additional important information. Overall, Jared was fascinated with Fibonacci Spirals and how they occur frequently throughout nature. Jared’s advice for future mathematics EE students is to ask for

This abstract mathematical concept was conceived in the 17th century in order to drastically decrease the amount of time required for the multiplication of large numbers. The first to publish ideas on this particular subject is a Scottish mathematician named John Napier in his text Description of the Marvelous Canon of Logarithms in the year 1614. Years later, a Swiss mathematician named Joost Bürg published his work Arithmetic and Geometric Progression Tables which directly connected geometric and arithmetic

At Bordeaux, He found a new friend who was alsi interested in math Etienne d’Espagnet, who had many important math books including some mathematical works. Fermat was mostly interested in works by Franciscus Vieta, a French mathematician who has made important advancements to algebra. In 1638, Fermat sent Mersenne (a fellow mathematician) two documents he had written which were containing some of the new forms of math he had been expanding on. These new forms of mathematics included Methods for determining Maxima and Minima and Tangents for Curved Lines. In Method for determining Maxima and Minima and Tangents for Curved Lines, which was inspired by his study of Archimedean spirals and his work on parabolas and hyperbolas, Fermat invented a new method using what we can now know as a form of calculus. Fermat had also created a method of discovering the area under power functions, which is the same as applying integral calculus to these functions. Fermat also started getting interested in gambling. He wanted to find the most favorable way for someone to win. Fermat solved these problems by using probabilities of all possible outcomes using the early forms of permutations and

Through history many men and women dedicate their lives to the discovery and understanding of numbers, shapes and structures. They evolve mathematical rules, concepts, theories and prove them; solving practical problems in each different field. From century to century great mathematicians had help this world, every single . One mathematician distinguished between many others is Andrew Wiles.

The Golden Mean is a mysterious number that has been found in plants, humans, art and even architecture. It was first discovered and studied by ancient mathematicians in Egypt a very long time ago. In the study of mathematics one realizes that many patterns often occur. None have been more relevant or fascinating that the golden ratio. The golden ratio has many names and is often referred to as the golden section, golden mean, golden proportion and golden cut. The golden mean has been studied and taught for centuries and is still the most interesting and fascinating things to study. The golden ratio has inspired thinkers like no other component in mathematics.

In the ancient times, the Golden Ratio was the most used mathematical tool. The Golden Ratio is a term used to describe aesthetically pleasing proportioning within a piece. It is an actual ratio 1: PHI. The Golden Ratio was a tool used for composition, not rule. It was often used by Leonardo Da Vinci in several of his paintings. All key dimensions of the room and table in Da Vinci’s “The Last Supper” were based on the Golden Ratio, known as the Divine Proportion in the Renaissance. In Michaelangelo’s painting of “The Creation of Adam” the finger of God touches the finger of Adam precisely on the golden ratio point of the width and height on the area that contains them both. Botticelli compared “The Birth of Venus” with several different golden ratio points, all coming to the woman’s naval and bottom tip of her right elbow. The well known French painter, Georges Pierre Seurat, was notorious for “attacking every canvas by the golden section.” In one of his paintings, the horizon falls exactly on

Leonardo’s book Liber abbaci was published in 1202. He dedicated this book to Michael Scotus. Scotus was the court astrologer to the Holy Roman Emperor Fredrick II. Leonardo based this book on the mathematics and algebra that he had learned through his travels. The name of the book Liber abbaci means book of the abacus or book of calculating. This was the first book to introduce the Hindu-Arabic place value decimal system and the use of Arabic numerals in Europe. Liber abbaci is predominately about how to use the Arabic numeral system, but Leonardo also covered linear equations in this book. Many of the problems Leonardo used in Liber abacci were similar to problems that appeared in Arab sources. Liber abbaci was divided into four sections. In the second section of this book, Leonardo focused on

Since my school days, I have been interested in Mathematics because the challenge of thinking and the process of logic always attracted me to Mathematical problems. With my

Mathematics has contributed to the alteration of technology over many years. The most noticeable mathematical technology is the evolution of the abacus to the many variations of the calculator. Some people argue that the changes in technology have been for the better while others argue they have been for the worse. While this paper does not address specifically technology, this paper rather addresses influential persons in philosophy to the field of mathematics. In order to understand the impact of mathematics, this paper will delve into the three philosophers of the past who have contributed to this academic. In this paper, I will cover the views of three philosophers of mathematics encompassing their