What Role Does Diophantus Play In The Evolution Of Algebra

Pythagoras made influential contributions to philosophy and religion in the late 6th century BC. He is often revered as a great mathematician and scientist and is best known for the Pythagorean theorem which relates the two sides of a triangle to the hypotenuse using the formula a squared plus b squared equals c squared. However, because legend and obfuscation cloud his work even more than that of other pre-Socratic philosophers, one can give only a tentative account of his teachings, and some have questioned whether he contributed much to mathematics or natural philosophy. Many of the accomplishments credited to Pythagoras may actually have been accomplishments of his colleagues and successors. Some accounts mention that the philosophy associated with Pythagoras was related to mathematics and that numbers were

The essay begins with the creation of Algebra in 1545 by doctor Giordano Cardan. It was created to be this way of simplifying problems and Cardan believed it to be an art form that would never go out of style or lose usefulness over time. For the most part he was correct as nearly 500 years later it is still in use, yet for many people it does not simplify anything at all. Cardan was a man of numbers, he gambled and clearly had a great understanding of mathematics, so algebra made sense in his mind but this is not the case for everyone. Math is puzzle that people need to work through to understand, explains Baker, and many people enjoy this aspect of it much like Cardan. Baker himself was a dedicated student who put in week to learn material for a math exam and got a score of 93 for his efforts. Other students, however do not feel as though they can accomplish this. Not all students see the world in numbers and the material they are forced to study is confusing and only gets harder as the course goes on. Fr many student’s algebra

The Sumerians created and used many mathematical concepts, and a few of them are still in use today, six

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.

Among the most famous scholars at the House of Wisdom, this polymath researcher is credited with having invented algebra.

The Greeks made several inventions, most notably in the subject of math, which are still studied today and taught in school. Mathematician Euclid is often credited as the “Father of Geometry” for all his work and studies in this subject, which are compiled in his books called The Elements. He organized known geometrical statements called theorems and logically proved all of them. He proved the theorem of Pythagoras (another Greek mathematician), which stated that the equation (c2 = a2 + b2) is true for every right triangle.

This would give us answer of 4.30 hours to drive to Las Vegas from Los Angeles. Now this is one way to describe what algebra is, but we also have formulas to help us. The quadratic formula, Pythagorean Theorem, and the equation of a line are just a few of the formulas we use to solve algebraic problems. The ancient Egyptians used the Pythagorean Theorem to design and build the pyramids of Egypt. Civil engineers across Europe built the massive cathedrals using algebra in a time when machinery was not available. Algebra helped aerospace engineers figured out how to send three astronauts to the moon in 1969. Our advancement in technology and society will depend on people with exceptional math skills to build the bridge to the future. As of now, we need to make people realize how useful algebra is in everyday life before we can go the next step.

These achievements made it possible for new theorems, equations, and notations. The Guptas also developed a numeral system. A mathematician also discovered the formula to find the area of a triangle. Advancements in literature was the increase of narratives.

As an apprentice to her father, Hypatia continued to preserve the Greek mathematical and astronomical heritage just as her as her father did. According to the article "Hypatia" by Michael Deak, "She is credited with commentaries (comments and explanations) on Apollonius of Perga's Conic and Diophantus of Alexandria's Arithmetic, as well as an astronomical table." Apollonius of Perga's Conic are theories created by Apollonius of Perga who was a Greek geometer, meaning he was a mathematician who studied geometry. Specifically, the conic section dealt with hyperbolas, parabolas, and ellipses. Diophantus of Alexandria's Arithmetic are theories created by Diophantus of Alexandria, who was a Greek mathematician who studied algebra. Diophantus essentially brought symbolism to the algebraic world. Hypatia, also, did a lot of commentaries on her father's work as

Some people may argue that literature and arts in the Muslim world innovated and effected the world today more than mathematics because according to My World History Textbook visual arts helped the creation of beautiful domes and arches, colored bricks, and decorated tiles that are still used today. The Muslim civilizations created many more useful things under the topic of mathematics that are still used today and most likely will be in the future . For example in the text it states “Arab mathematicians used a decimal system that was based on the Indian numerals and was sometimes referred to as Hindu numerals.” The Muslims created a new number system, this system included the concept zero and was much easier to use than Roman numerals. Then someone named Al-kharm introduced it to Europe. Another product is algebra, before algebra Europeans

Pythagoras was a Greek religious leader who made huge developments in math. He is described as the first pure mathematician. Pythagoras is a very important figure in the development of mathematics and he made many contributions to the math we use today.

     From the period of 1145AD – the late 16th century, many mathematicians developed on algebraic concepts. However, it was not until the 1680’s that the most remarkable discoveries were made using algebra. Sir Isaac Newton was a very famous mathematician, English physicist, astronomer, philosopher, and alchemist. During his period of study, he used algebra to describe universal gravitation, develop the laws of motion, found orbits of the planets to be elliptical, discovered that light was made of particles, discovered the rate of cooling objects, and the binomial theorem. His most important works were the development of calculus. However, Newton did not work alone on creating the

Maths is a subject that has always interested me, but looking at the roots of it is an aspect that I have never explored. I always knew that it is very open to debate, with various different opinions but I have always been intrigued by it, so I have decided to use it as the subject of my Extended Project.

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