Advantages And Disadvantages Of Matleb

The Pythagorean School, for example, contributed many ideas to the mathematic community, among them, studies of geometry and the theory of proof.5 Euclid also lived in the time of ancient Greece and became a prominent mathematician, as well as author of a book about geometry called, The Elements, considered the second best-selling book of all time.6 The works of Pythagoras and Euclid have become fundamental building blocks for any person with an eighth-grade understanding mathematics. With these advancements, as well as innovations from Archimedes and Apollonius of Perga, Islamic scholars translated their works and contributed even more, growing the worldwide understanding of mathematics.7 Greek progressions in geometry as well as the theory of proof contributed greatly to our ultimate understanding of contemporary mathematics, without which, our modern society would be

Humans possess a wide range of attributes and characteristics, of which one of the most funda- mental features is that of curiosity. This curiosity has led man to wonder, ponder and then learn. The curious nature of humans drives them to always try to find solutions to the puzzling mysteries behind their ideas and thereby ending up inventing and innovating, extending the boundaries of science and technology. Babylonians and Egyptians used arithmetic, algebra and geometry for taxation and other financial calculations, for building and construction, and for astronomy. To deal with the new dynamics that had arisen from the work of Sir Issac Newton and Galileo Galilei the creation and development of calculus was required. All of them made use of the fundamental tools and items at their disposal to achieve this, but would not have been successful without the one crucial tool - knowledge of mathematics. Mathematics is a language - the language of science and it comes as no surprise that mathematics is vitally important when explaining any phenomenon or scientific theory or proving scientific laws.

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.

Geometry is present in art since prehistoric times. Primitive people showed an intuitive notion of geometry in their own

Algebra is the basis of all math and its advancement took place in three major steps. The first stage of algebra is rhetorical algebra dating back to before 275 BCE. Rhetorical algebra was a form of algebra that contained no symbols so to them +,-, and*, did not exist. It was usually explained orally or written on scribes. They were able to do things such as find squad and cubed roots, solve linear equations, and explain fractions. As well as recognizing irrational numbers and identifying that quadratics had two answers. The next phase in algebra’s evolution was Syncopated math. This was most popularly used between 275 BCE - 1600. Diophantus played a crucial role in this stage by being the first to develop algebraic notations and abbreviations.

A similarity between the ancient Egyptians and Greek is the use of what is now known as geometry. It is currently thought that the Egyptians had introduced the earliest fully-developed base-ten numeration system, this system was introduced around 2700 BCE, and was based. On people having ten fingers (story of mathematics). A famous document of the time was the Rhind Papyrus, created 1650 BC, and contained information and exercises to show the “Correct method of reckoning, for grasping the meaning of things and knowing everything that is, obscurities and all secrets.” (Washington.edu). The Egyptians had also approximated the area of

One of these philosophers was named Pythagoras. Pythagoras started a school where he and his students developed theories about math and geometry. The Greeks were fascinated by geometry, and they used it to lay out their city-states. Geometry means “to measure land” in Greek. Another Greek philosopher that inspired modern mathematics is Euclid.

The author of Journey through Genius, William Dunham, begins this chapter by depicting how mathematics was spurred and developed in early civilizations. Dunham focuses primarily on the works’ and achievements’ of early Egypt, Mesopotamia, and Greece in this section. These ancient societies, as they developed, produced mathematicians such as; Thales, Pythagoras, and Hippocrates, who turned a basic human intuition for space and quantity into applicable everyday mathematics. The primary influences driving the development of early mathematics were the issues of growing civilizations, most notably counting commodities, taxation, and the division of land equally, rather than a pure desire for understanding that is seen in mathematics today. These influences culminated in the development of early arithmetic and geometry.

The Indians created their own type of arithmetic called Bakhsali and they had to learn to solve fractions and multiply them. Hindus was one of the people to uses this math to solve many different problems like foiling and solving for x. Another important figure is Donald Knuth who came up with exponents they were originally pictured as 3 3. The more arrows placed in between the threes the more exponents were stacked on each other. Later on Kaplan shows a property of zero, he is setting quadratics equal to zero so they can be

The Greeks and the Egyptians used triangles as early as 3500 BCE. They used these triangles as rules of thumb. They could apply these rules to specific applications. For example, the Egyptians knew that the 3:4:5 ratio was a right triangle. They could derive this because for them to create a right triangle the Egyptian land surveyors used a rope divided into twelve equal parts, creating a triangle with three pieces on one side, four pieces on the second side, and five pieces on the last side. The right angle was found where the three-unit side came together with the four-unit side. This was a very efficient way to create right triangles. It’s a mystery as to how the Egyptians came up with this, but this was later used by Pythagoras (c.571 -

Many mathematicians consider Hipparchus to be the founder of trigonometry. He was a Greek mathematician that was born in 190 BC in Nicaea in Bithynia, which is known as Turkey today. It is known from Ptolemy’s work that Hipparchus developed a table of chords that were an essential tool in the early development of trigonometry. The chord was the only trigonometric function used by the ancient Greeks. He is also believed to be the first person to determine the exact times of the setting and rising of the zodiacal signs. It’s also known that he had a trigonometric table that he used when he was deriving the solar and lunar orbits and their eccentricity.Hipparchus is believed to be the first person to determine exactly the times of the rising and

The early Pythagoreans did not publish anything and with a noble self denial, they referred back to their master all their discoveries. (Allman, 1976) Hence, it was not possible to separate what was discovered by him from what his disciples discovered. The Pythagoreans wrote many geometric proofs, but it is difficult to ascertain who proved what, as the group wanted to keep their findings secret. Unfortunately, this vow of secrecy prevented an important mathematical idea from being made public. The Pythagoreans had discovered irrational numbers! If we take an isosceles right triangle with legs of measure 1, the hypotenuse will measure sqrt

The Protogeometric and Geometric periods are good examples of such advanced thinking. The beginnings of the Protogeometric period display a distinct interest in mathematical order. During this period, artists decorated vases with circles and symmetrical patterns. As the dominant style changed from Protogeometric to Geometric, this order and precision was amplified. The popular ?circle and semicircle patterns were replaced by linear designs, zigzags, triangles, diamonds, and meanders? (Cunningham, 40). The increased interest in order seems to have been a reflection of the Greek fascination with nature, and man?s relationship to nature.

Pierre de Fermat Pierre de Fermat was born in the year 1601 in Beaumont-de-Lomages, France. Mr. Fermat's education began in 1631. He was home schooled. Mr. Fermat was a single man through his life. Pierre de Fermat, like many mathematicians of the early 17th century, found solutions to the four major problems that created a form of math called calculus. Before Sir Isaac Newton was even born, Fermat found a method for finding the tangent to a curve. He tried different ways in math to improve the system. This was his occupation. Mr. Fermat was a good scholar, and amused himself by restoring the work of Apollonius on plane loci. Mr. Fermat published only a few papers in his lifetime and gave no systematic exposition of his methods. He had a

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