Abstract: - The contributions of Islamic mathematicians can be summarized as the consolidation of mathematical knowledge of the ancient cultures. But such limited description would ignore the innovations and developments that extended the knowledge acquired from Greek mathematicians and that served to lay the foundation for European Mathematicians. This paper will provide a brief summary of the contributions of Islamic mathematicians, with particular attention to The Father of Algebra and his contributions. As the reader will notice, the contributions of Islamic mathematicians reached the major branches of mathematics of their era by building upon the work of mathematicians of other cultures and leaving detailed records of their achievements and those of cultures past.
Key-Words: - Al-khwarizmi, algebra, Khayyam, Al’Kashi.
1 Introduction
Although world history books have documented the period of the Dark Ages in Europe, little has been added about the development of Mathematics in Islamic cultures that occurred during the same time period. Islamic Mathematicians not only translated the most important mathematical works of the Greeks and other cultures, but built upon the acquired knowledge by extending it and innovating new methods, techniques, and topics.
While many students know the word algebra originated in the Middle East, few high school students today are aware of the Middle Eastern origin of various concepts and methods they learn in high school algebra class.
Over the 100 years that Islam expanded, the Arabs collected a wealth of science, philosophy and arts from lands they had conquered as they grew. By the tenth century, nearly all Greek texts were translated into Arabic as a result of the Translation Movement. They preserved a lot of Greek works that would have been lost otherwise. At the time they were thought of as the greatest scholars because of all of the knowledge they combined from different countries. For example, the Greeks liked geometry, and the Hindus liked algebra and arithmetic, so the Arabians developed a combination of both called trigonometry, used for astronomical purposes with the ratios called trigonometric functions. The Islamic people contributed to transmission of knowledge in Europe by all of the writing they had sought after to make their own. It gave them so much more information than other countries. As more expansion occurred, the Greek scientific writings moved westward through the Islamic world and reached Spain by the 9th century.
Algebra is a major mathematical strand that has been incorporated across all year levels within the Victorian Curriculum. The many components within and interrelated with algebra and algebraic thinking sets children up, not only for formal algebra in high school, but for life (Reys, et al., 2012). This paper will be addressing some of the main ideas and understandings associated with Algebra. Key skills, strategies and ways of thinking will also be explored along with strategies for teaching the content effectively.
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
19. The growth of cross cultural trade spread scientific and technological traditions influencing Greek philosophy and science throughout Europe, Greek and Indian math on Muslim followers, Eastern Asia’s gunpowder and printing technologies throughout Islam and Western
HVII. INFLUENCE OF INDIA ON ISLAMIC THOUGHT: Indian mathematics grabbed the attention of places in the Dar al-Islam. Muslims found it attractive for both educational purposes and accounting. They adopted “Indian numerals,” which was later called the “Arab numerals,” since they learned it from the Arabian Muslims. Completely simplified bookkeeping.
The Islamic people had a very powerful culture. Muslims mastered many crafts and trade which helped them grow and prosper. Modern cultures have used and built onto many ideas that the Islamic people had implemented into their own lives. The Islamic people strived in science, philosophy, astronomy, geography, mathematics, and medicine. This DBQ will talk about his topic.
One condition needed for the spread of math and science in the Islamic Empire was their way of education. “The Muslims were encouraged by the Prophet Muhammad to ‘seek learning even as far as China.” (Doc A). This means, that no matter where the muslims were, they were challenged to learn all the way to China, which was a big step for early learning. The Prophet Muhammad also proposed a more scientific way of education. To try and help for cures to diseases, as Muhammad once said… “For every disease, Allah has given a cure”. This shows that seeing the Muslims knew that they all had cures, but they had to find them… which is what a lot of them did. This attitude towards education shaped Islam, and led them further into education. This was one of the conditions that helped develop and spread mathematical and scientific ideas in the Golden Age of Islam.
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.
The Abbasids were the first ones to study and translate important Greek and Indian mathematical book like Euclid's geometry text the Elements. They adopted a very Greek approach to mathematics of formulating theorems precisely and proving them formally in Euclid's ways.
The book that we have chosen to review is titled “Lost History, the Enduring Legacy of Muslim Scientists, Thinkers and Artists”. The author of the book is Michael Hamilton Morgan. The book was published in the year 2007 and also holds the same copyright date. The book is a non-fiction. The main subject matter of the book is the history of the Islamic civilization from the birth of the Prophet Muhammad (peace be upon him)
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”).
The Muslim people made many exceptional achievements and great contributions that spread to and affected the entire world, particularly Europe. Several factors encouraged them to pursue experimentations and developments in different fields.
What is mathematics? What is the distinct definition for it? Something that always has bewildered me is what maths really is.
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