The History Of Algebra, How It Started, The Most Study Mathematical Subject Around The World

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

Algebra is a critical aspect of mathematics which provides the means to calculate unknown values. According to Bednarz, Kieran and Lee (as cited in Chick & Harris, 2007), there are three basic concepts of simple algebra: the generalisation of patterns, the understanding of numerical laws and functional situations. The understanding of these concepts by children will have an enormous bearing on their future mathematical capacity. However, conveying these algebraic concepts to children can be difficult due to the abstract symbolic nature of the math that will initially be foreign to the children. Furthermore, each child’s ability to recall learned numerical laws is vital to their proficiency in problem solving and mathematical confidence. It is obvious that teaching algebra is not a simple task. Therefore, the importance of quality early exposure to fundamental algebraic concepts is of significant importance to allow all

Among the many scholars working in the House of Wisdom, there was Al-Khawarizmi, known as the father of algebra. Born around 800 in Baghdad, al-Khwarizmi worked in the House of Wisdom as a scholar. Being involved in the center’s translation of ancient scientific knowledge helped him develop a unique knowledge of the accumulated wisdom of the world. His importance lies in his discoveries of mathematical knowledge which was later transferred to Arab and European scholars. His masterpiece, a book of clear explanations of what would become algebra, was his entire life’s work compiled into one collection of information. The word algebra comes from the Arabic word, al-jabr, which means “completion”. In his work, al-Khwarizmi explains the principles of solving linear and quadratic equations, the concept that an equation can be created to find the value of an unknown variable. Another crucial work of al-Khwarizmi’s was The Book on the Art of Reckoning of the Hindus, which introduced the numbering system used in the Islamic culture to the west. This is the numerical system that is still used today and offered many advantages over the existing Roman numerals. An

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.

Although the west did have its own cultivation of knowledge, the majority of westernized thinking originated in India and other Southern Asian countries. The people of India invented Hindi numerals. Arabs gave these numerals the title, ‘Hindi numbers’. These numerals included the concept of zero and allowed mathematicians to make fast, accurate calculations. Once Arabs had begun using the Indians numerals and concept of zero, Europeans were then introduced to these concepts and called them ‘Arab numerals’. Chinese used Indian mathematical concepts but advanced the ideas which allowed them to expand in that field of knowledge. The methods that the Chinese used based off of the ideas of Indians, shows how methods were spread. Since the

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

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

Abstract: - The many concepts we currently have in the field of mathematics are thanks to great mathematicians from different cultures throughout time. An important era when great mathematical discoveries were made was during Medieval Times, or the Middle Ages. In this paper we discuss important discoveries and contributions that were made by three famous mathematicians of this time period including French Nicole Oresme, German Jordanus Nemorarius and Italian Leonardo Pisano, better known for his nickname of Fibonacci.

Calinger, Ronald (1999). A Contextual History of Mathematics. Prentice-Hall, 150. ISBN 0-02-318285-7. “Shortly after Euclid, compiler of the definitive textbook, came Archimedes of Syracuse (ca. 287–212 B.C.), the most original and profound mathematician of antiquity.”

One modern-day use of mathematics and quadratic equations, created by Babylonians, was the collection of taxes. Mesopotamia was a very fertile land; therefore there were a high number of farmers in the Babylonian Empire. Because of the high number of farmers, tax collectors and mathematicians had to develop a new and more efficient way of calculating the

Born in April 15, 1707 Leonhard Euler is said to be one of the greatest mathematicians to contribute to geometry, trigonometry, and calculus, etc. during his lifetime until he died in September 18, 1783. His many contributions included the utilization of pi, f(x), the introduction of scientific notation, and most notably Euler’s formula. With his many contributions to mathematical research his work have been recognized by mathematicians around the world and also even having his work highlighted by the Mathematical Association of America. Although in his later life he has been leading a simple life of growing vegetable and telling stories to his children, but in his earlier life he made many publications including his first formal mathematical paper at age 19

There are many arguments about if math was created or discovered. Some say that math was discovered because math has always been out there, then there are some people that say math was invented because you can’t discover something if someone didn’t invent it. I agree that math was invented but I also agree that math was discovered. In the early days there were people that created the basic part of math and as the years go by there were people that probably added more stuff to math, like making equations for example.

The mathematics had been developed for four thousand years, and Muslim inherited mathematics from Egyptian, Mesopotamians, Sumerian and Babylonian. Greek geometry and Hindu arithmetic and algebra reached at an early stage in Muslim lands and were translated in centers such as Gondeshapur and Baghdad. Starting out at intellectual center of Islam, they soon criticizing those concepts and formulation by finding inaccurate and inconsistent information and adapt their own ideas. At the same period in Western Europe, they still use Roman numerals and abacus to calculate numbers. The Babylonian already had concept of bases sixty computation with place value numerals. Muslim then developed a decimal arithmetic based on place value and joint concept of zero. In the ninth century, Banu Musa brothers who were three gifted sons of Musa, Muhammad, Ahmad, and Hassan ibn Musa lived in Baghdad studied problems in constructing interrelated geometrical figures. Later the characteristic of those line, space of geometrical shape was given intense study and utilized sophisticated geometry in designing waterwheels, in improving farming equipment, in developing new type of weapon used at war. Another person who make significant contribution on mathematics is Muhammad ibn al-Khwarizmi, a Persian born in the eighth century. He was the first person who originated both terms “algebra”, and

Omar was also a poet, philosopher, and astronomer. Omar’s works were translated in 1851, which was research on Euclid’s axioms. In the medieval period, he expanded on Khwarizmi’s and the Greeks mathematic works. He only worked with cubic equations only and focused on geometric and algebraic solutions of equations. In 1145AD, Al-Khwarizmi’s book was translated by Robert Chester, which made it possible for algebra to be introduced to Europe. After algebra was introduced in Europe, European mathematicians developed and expanded on algebra concepts. Even though algebra began in the Arabic countries, once European mathematicians obtained the information of algebra, they became the leaders of mathematical discoveries in the world (“Mathematics”).

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