# Al khwarizmi the father of algebra

In particular, Al-Khwarizmi developed a formula for systematically solving quadratic equations equations involving unknown numbers to the power of 2, or x2 by using the methods of completion and balancing to reduce any equation to one of six standard forms, which were then solvable.

He was one of the first to write about algebra using words, not letters. Even though these manuscripts have been found, some are not convinced of its veracity. Arithmetica, one of his greatest works, consists of 13 books of algebraic problems. Classics of Mathematics.

### Al khwarizmi the father of algebra

This delighted Al Khwarizmi, who first translated several Greek philosophical and scientific works, before delving into the study of geometry and astronomy. Abstract algebra Main articles: Abstract algebra and Algebraic structure Abstract algebra extends the familiar concepts found in elementary algebra and arithmetic of numbers to more general concepts. Both of these tasks require advanced knowledge of mathematics. As a result, al-Mamun created the House of Wisdom to restore and research the answers to the scientific questions that plagued the administration of his empire. The academy boasted a unique library of manuscripts that rivalled and even surpassed that of Alexandria, one that made available to Muslim scholars everything that was worth having from Byzantium. Associativity : Addition of integers has a property called associativity. Thus al-Khwarizmi was able to show that a quadratic equation can have more than one solution Conger, Overbay and Schorer. This step leads to the conclusion that it is not the nature of the specific numbers that allows us to solve it, but that of the operations involved. The Free Arab Voice. As a result, Leonardo was set to study in various Arabic cities. More From Lifestyle.

We also have knowledge of his works that were popularized in the 17th and 18th centuries. Hindu numeral system: One of his most important contributions was to recognize and propagate the importance of Hindu numerals from Squares equal to numbers.

His book is considered the foundational text of modern algebra, although he did not employ the kind of algebraic notation used today he used words to explain the problem, and diagrams to solve it.

Unfortunately much of his work on the subject has been either lost or destroyed. League of Arab States.

Squares and numbers equal to roots. The most important difference was a matter of religion.

## Al khwarizmi facts

To solve these equations one would have to use what is called Diophantine analysis. Al-Khwarizmi helped establish widespread use of Hindu-Arabic numbers: 1, 2, 3, Another work by him involved degree measurements to find the circumference and volume of Earth, which was commissioned by the caliph Mamun. A polynomial is an expression that is the sum of a finite number of non-zero terms , each term consisting of the product of a constant and a finite number of variables raised to whole number powers. Robertson wrote in the MacTutor History of Mathematics archive : Perhaps one of the most significant advances made by Arabic mathematics began at this time with the work of al-Khwarizmi, namely the beginnings of algebra. By experimenting with different values and different equations of the same type, al-Khwarizmi was able to demonstrate the existence of multiple roots for quadratic equations. Legacy to Arabs and Muslims While a good deal of controversy lingered on his major contributions — as to whether they were the result of original research or based on Hindu and Greek sources — few can deny that beyond his ability to synthesise existing knowledge that the Greeks, Indians and others assembled. This book included many word problems, especially dealing with inheritance.

The initial conquests of Islam lasted well into the eighth century CE, just a generation or two prior to the birth of al-Khwarizmi and al-Mamun.

Rated 10/10 based on 73 review