Muhammed Ibn Musa al-Khwarizmi, was a mathematical pioneer, and is considered by many to be the greatest mathematician of the Islamic world, as well as the founder algebra. His book entitled Kitâb al-Mukhtasar fî Hisâb al-Jabr wa'l-Muqâbala, which means “The Compendious Book on Calculation by Completion and Balancing,” established algebra as an independent discipline. While his arithmetic work, possibly entitled Kitāb al-Jamʿ wa-l-tafrīq bi-ḥisāb al-Hind (Book of Addition and Subtraction According to the Hindu Calculation), was responsible for introducing the Arabic numerals, based on the Hindu-Arabic numeral system developed in India, to the Western world (Mohamed, 2000).

The Life of Al-Khwarizmi

Al-Khwarizmi (c. 780-850) was a Persian mathematician, astrologer, and geographer whose name may indicate that he came from Khwarezm, a region in present day Uzbekistan (Wikipedia, 2010). He worked under Caliph al-Ma’mun at the House of Wisdom in Bagdad during the early part of the ninth century. Caliph al-Ma’mun was said to be a great patron of learning and scientific investigation, who established the House of Wisdom, an elite academy of talented scholars whose main function was to translate classic books of antiquity into Arabic (Burton, 2007). The caliph showed a genuine interest in al Khwarizmi’s work and they shared a friendship; many of al-Khwarizmi’s works such as his astronomical treatise and his Algebra were dedicated to al-Ma’mun (Mohamed, 2000). According to a brief biography found in Ibn al-Nadim’s book Kitāb al-Fihrist, Al-Khwarizmi accomplished most of his work between 813 and 833. During this time he completed innovative works and made contributions in the areas of algebra, trigonometry, geography, astronomy, as well as works on history, sundials, and the Jewish calendar (Wikipedia, 2010).

Al-Khwarizmi’s Contributions to Mathematics

Although al-Khwarizmi was a brilliant scholar who made...

...Formulas for the Future
By
Kyle Horn
Mr. Davenport
Algebra 3
9-15-10
Abu Ja’far Muhammad ibn Musa Al-khwarizmi, was a Persian mathematician, geographer, and astronomer. He was born sometime in 780 AD in Baghdad, then later died there around 850 AD. At that time the area he lived in was the epicentre of an Islamic empire which extended from the Mediterranean all the way to India. He was a scholar in the House of Wisdom in Baghdad. “The word al-Khwarizmi is pronounced in classical Arabic as Al-Khwarizmi” (bookrags) Al-khwarizmi was the author of over half a dozen astronomical books. The most remarkable was titled Al-jabr w’al muqabala , which was written around 830 AD. Al-khwarizmi did most of his research and writing in the House of Wisdom, along side other scholars.
His book Al-jabr w’al muqabala is what gave the branch Al-jabr to mathematics. It is now known as algebra. “The word al-jabr is usually translated as "restoring," with reference to restoring the balance in an equation by placing on one side of an equation a term that has been removed from the other.” (ms) For example 2x+2=8, the balance is restored by writing 2x=6 and then x=3. “The second part of the title, al muqabala, probably meant "simplification," as in...

...Abu Ja’far Al-Khwarizmi
Abu Ja’far Al-Khwarizmi was a Muslim mathematician in the late 8th century. His full name is Abu Ja’far Muhammad ibn Musa Al-Khwarizmi. He heavily influenced our math today, and he developed a base for math today. (“Periodic”). Al-Khwarizmi was a very intelligent mathematician who wrote a book on algebra and geometry which influences today’s world of mathematics.
There is very little known about Al-Khwarizmi’s early life (MacTutor). He was born in 780 AD, and died in 850 AD (World Biography). He worked at the House of Wisdom (in Baghdad), where his he studied algebra, geometry, and astrology (“Periodic”).
Al-Khwarizmi wrote a book about algebra and geometry. He named it the Hisab al-jabr w’al-muquabala. The book consisted of mostly algebra, but some geometry. Today, the word algebra comes from “al-jabr”. In this book, “He only used words to describe his expressions, no symbols are used” (“Periodic”). So, instead of writing: 2+3=5, he wrote: two plus three equals five. Most of his math in the book was influenced by the Hindu mathematician Brahmagupta (Mac Tutor). In the book, he demonstrates that algebra and geometry are similar (Book Rags).
There is a lot of simple...

...The Father of Algebra
In the source, Shawn Overbay writes a biography on The Father of Algebra, Al-Khwarizmi. Overbay shows and explains the equations that Al-Khwarizmi invented and how they were used. In the source, the author states “Al-Khwarizmi wrote numerous books that played important roles in arithmetic and algebra” (Overbay). Not only was The Father of Algebra a mathematician, he was also an inventor, an Astronomer, and a Scholar. The visual source is a page from Al-Khwarizmi’s Kitab Al-Jabr Wal-Muqabala, the oldest Arabic works on algebra. Comparing the visual source and the written source helps historians understand how our modern day mathematics was born and how they played a role in the 9th Century. These sources enhance the understanding of algebraic equations and arithmetic that was used in the 9th century and how it is still used in the modern day era.
We can learn a lot about The Father of Algebra, Al-Khwarizmi from these sources. Shawn Overbay goes into great detail on the Mathematician’s work. In the Latin translation of Al-Khwarizmi’s algebra, Overbay talks about simple equations that the mathematician created, squares equal to roots (x2 =...

...Muhammad Ibn Musa Al-Khwarizmi. He was born around 780 BC in Baghdad. (Now in Iraq). There is little known about his life. The name al-Khwarizmi may indicate that he was from south of the Aral Sea in central Asia. He constructed some of the oldest works on arithmetic and algebra. His works was a significant source for mathematical insight for centuries to come in both the east and west.Al-Khwarizmi and his colleagues, the Banu Musa, were scholars at The House of Wisdom in Baghdad. Their task there included the translation of Greek scientific manuscripts. In addition, they worked on algebra, geometry, and astronomy. Under the patronage of Al-Mamum, he dedicated two of his texts to the Caliph- his treatise on algebra and on astronomy. The algebra treatise- Hiss al-jabr w'al-muqabala, was his most known and significant of all of his works. It is this text that gives us the word "algebra" and is the first known book written on algebra. Here is a translation of al-Khwarizmi's own words telling his purpose on writing the book:
what is easiest and most useful, such as men constantly require in cases of inheritance, legacies, partition, lawsuits, and trade, and in all their dealings with one another, or where the measuring of...

...Algebra is a way of working with numbers and signs to answer a mathematical problem (a question using numbers)
As a single word, "algebra" can mean[1]:
* Use of letters and symbols to represent values and their relations, especially for solving equations. This is also called "Elementary algebra". Historically, this was the meaning in pure mathematics too, like seen in "fundamental theorem of algebra", but not now.
* In modern pure mathematics,
* a major branch of mathematics which studies relations and operations. It's sometimes called abstract algebra, or "modern algebra" to distinguish it from elementary algebra.
* a mathematical structure as a "linear" ring, is also called "algebra," or sometimes "algebra over a field", to distinguish it from its generalizations.
A variable is a letter or symbol that takes place of a number in Algebra. Common symbols used are a, x, y, θ, and λ. The letters x and y are commonly used, but remember that any other symbols would work just as well.
Variables are used in algebra as placeholders for unknown numbers. If you see "3 + x", don't panic! All this means is that we are adding a number who's value we don't yet know.
Term: A term is a number or a variable or the product of a number and a variable(s).
An expression is two or more terms, with operations...

...History of Math
September 29, 2011
Abu Ja'far Muhammad ibn Musa Al-Khwarizmi
Abu Ja'far Muhammad ibn Musa Al-Khwarizmi was a Muslim mathematician and astronomer that was born around 780 in Baghdad, Iraq and died around 850. Little is known about his life besides is attributes to mathematics; historians aren’t even for sure where he was really born, but doesn’t matter because we know his strengths in math. The Muslim leader known as Caliph during Al-Khwarizmi’s time was al-Munan. Al-Khwarizmi was a religious man and presented two of his works dedicated to al-Munan. “These were his treatise on algebra and his treatise on astronomy.” Al-Khwarizmi studied and was a scholar at the House of Wisdom in Baghdad. He was a member of Bana Musa (sons of Moses) along with his colleagues. Their main goal at the House of Wisdom was to translate the Greek manuscripts into Arabic; however they also were there to further their studies in algebra, geometry and astronomy, as well as writing more about these subjects. It is unknown to historians if Al-Khwarizmi was familiar with Euclid’s Elements or not but it is said that al-Hajjaj was one of his colleagues in the House of Wisdom and al-Hajjaj was in charge of translating the Elements into Arabic...

...Introduction:
Mohammed Ibn-Musa al-Khwarizmi was born was born about 790 AD near Baghdad. and died about 850 AD. He was known as a mathematician and astronomer who was a faculty member at the "House of Wisdom" established in Baghdad by Al-Mamun the Seventh Khaliph of Abbasid Empire. As a scholar at the House of Wisdom, al-Khwarizmi, directed and engaged in intellectual interests ranging from algebra and geometry to astronomy and the translation of Greek scientific manuscripts .
Introducing the Numeric Numbers:
Al-Khwarizmi wrote several books that played important roles in arithmetic and algebra. In his work, that based most probably on an Arabic translation of Brahmagupta (Indian Book) where he gave a full account of the Hindu numerals which was the first to explain the system with its digits 0,1,2,3,....,9 and decimal place value which was a fairly recent arrival from India. The new entry came to be known as that of al-Khwarizmi, ultimately the scheme of numeration making use of the Hindu numerals came to be called simply algorism or algorithm, a word that, originally derived from the name al-Khwarizmi, now means, more generally, any abnormal rule of procedure or operation.
His Great Book:
It was at the House of Wisdom that al-Khwarizmi wrote his...

...Review of Algebra
2
s
REVIEW OF ALGEBRA
Review of Algebra
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Here we review the basic rules and procedures of algebra that you need to know in order to be successful in calculus.
Arithmetic Operations
The real numbers have the following properties: a b b a ab a b c a b ab c ab ac In particular, putting a b and so b c b c ba c (Commutative Law) (Associative Law) (Distributive law)
ab c
a bc
1 in the Distributive Law, we get c 1 b c 1b 1c
EXAMPLE 1
(a) 3xy 4x 3 4 x 2y 12x 2y (b) 2t 7x 2tx 11 14tx 4t 2x 22t (c) 4 3 x 2 4 3x 6 10 3x If we use the Distributive Law three times, we get a b c d a bc a bd ac bc ad bd
This says that we multiply two factors by multiplying each term in one factor by each term in the other factor and adding the products. Schematically, we have a In the case where c or
1
b c
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a and d a b
b, we have
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ba
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Similarly, we obtain
2
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a2
2ab
b2
REVIEW OF ALGEBRA
x
3
EXAMPLE 2
6x 2 3x (a) 2x 1 3x 5 (b) x 6 2 x 2 12x 36 2x 6 (c) 3 x 1 4x 3
10x 3 4x 2 12x 2 12x 2
5 x 3x 5x
6x 2
7x
5 12 12
3 2x 9 2x 21
Fractions
To add two fractions with the same denominator, we use the Distributive Law: a b Thus, it is true that a b c a b c b c b 1 b a 1 b c 1 a b c a b...

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