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 = square root of 2), squares equal to numbers (x2 = 2), roots equal to numbers (square root of x = 2), squares and roots equal to number (x2+3x = 25), squares and numbers equal to roots (x2+1 = 9), and roots and numbers equal to squares (3x+4 = x2). One of the more complex equations Al-Khwarizmi used was the quadratic equation. This equation is used to solve for the unknown which in this equation would be x (ax2+bx+c=0). When in that specific form, Al-Khwarizmi is asking, what is x when the function is equal to zero? Al-Khwarizmi’s theory was that when you take two numbers and add them together you will get c, those same two numbers multiplied together will give you b, therefore factoring down to (ax+u=0) and (ax+u=0). At this point it’s just basic arithmetic to solve for x and you should get two...

...Al-Khwarizmi: The Father of Algebra
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...

...
Algebra
From Wikipedia, the free encyclopedia
"Algebraist" redirects here. For the novel by Iain M. Banks, see The Algebraist.
For beginner's introduction to algebra, see Wikibooks: Algebra.
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The quadratic formula expresses the solution of the degree two equation ax^2 + bx +c=0 in terms of its coefficients a, b, c.
Algebra (from Arabic al-jebr meaning "reunion of broken parts"[1]) is one of the broad parts of mathematics, together with number theory, geometry and analysis. As such, it includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields. The more basic parts of algebra are called elementary algebra, the more abstract parts are called abstract algebra or modern algebra. Elementary algebra is essential for any study of mathematics, science, or engineering, as well as such applications as medicine and economics. Abstract algebra is a major area in advanced mathematics, studied primarily by professional mathematicians. Much early work in algebra, as the origin of its name suggests, was done in the Near East, by such mathematicians as Omar Khayyam (1050-1123).
Elementary algebra differs from arithmetic in the use of abstractions, such as using letters to stand for numbers that are either unknown or allowed to take on...

...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...

...Unlike geometry, algebra was not developed in Europe. Algebra was actually discovered (or developed) in the Arab countries along side geometry. Many mathematicians worked and developed the system of math to be known as the algebra of today. European countries did not obtain information on algebra until relatively later years of the 12th century. After algebra was discovered in Europe, mathematicians put the information to use in very remarkable ways. Also, algebraic and geometric ways of thinking were considered to be two separate parts of math and were not unified until the mid 17th century.
The simplest forms of equations in algebra were actually discovered 2,200 years before Mohamed was born. Ahmes wrote the Rhind Papyrus that described the Egyptian mathematic system of division and multiplication. Pythagoras, Euclid, Archimedes, Erasasth, and other great mathematicians followed Ahmes ("Letters"). Although not very important to the development of algebra, Archimedes (212BC 281BC), a Greek mathematician, worked on calculus equations and used geometric proofs to prove the theories of mathematics ("Archimedes").
Although little is known about him, Diophantus (200AD 284AD), an ancient Greek mathematician, studied equations with variables, starting the equations of algebra that we know today. Diophantus is often known as the "father...

...Cami Petrides
Mrs. Babich
Algebra Period 4
April 1, 2014
Extra Credit Project
12. When you flip a light switch, the light seems to come on almost immediately, giving the impression that the electrons in the wiring move very rapidly.
Part A: In reality, the individual electrons in a wire move very slowly through wires. A typical speed for an electron in a battery circuit is 5.0x10 to the -4th meters per second. How long does it take an electron moving at that speed to travel a wire 1.0 centimeter, or 1.0x10 to the -2nd?
Part B: Electrons move quickly through wires, but electric energy does. It moves at almost the speed of light, 3.0x10 to the 8th meters per second. How long would it take to travel 1.0 centimeters at the speed of light?
Part C: Electrons in an ordinary flashlight can travel a total distance of only several centimeters .suppose the distance an electron can travel in a flashlight circuit is 15 centimeters, or 1.5x10 to the -1st meter. The circumference of the earth is about 4.0x10 to the 7th meters. How many trips around the earth could a pulse of electric energy make at the speed of light in the same time an electron could travel through 15 centimeters of a battery circuit in 5.0x10 to the -4th meters per second?
For part A, the first step is to put (5.0) to the 10th to the -4th. The numerator would be (0.00050) if someone were trying to put 5.0x10 to the -4th in the form it’s supposed to be in. For the second scientific...

...AlgebraAlgebra was invented by the Muslim mathematician Al-Khwarizmi in the book he wrote in 820. Algebra is the Arabic word (aljabr) for "equation", and the word "algorithm" comes from the author's name, Al-Khwarizmi. He is rightly known as "the father of Algebra
The roots of algebra can be traced to the ancient Babylonians, who developed an advanced arithmetical system with which they were able to do calculations in analgorithmic fashion. The Babylonians developed formulas to calculate solutions for problems typically solved today by using linear equations, quadratic equations, and indeterminate linear equations. By contrast, most Egyptians of this era, as well as Greek and Chinese mathematics in the 1st millennium BC, usually solved such equations by geometric methods, such as those described in the Rhind Mathematical Papyrus, Euclid's Elements, and The Nine Chapters on the Mathematical Art. The geometric work of the Greeks, typified in the Elements, provided the framework for generalizing formulae beyond the solution of particular problems into more general systems of stating and solving equations, though this would not be realized until the medieval Muslim mathematicians.
I was able to find nine different types of algebras. 1. commutative addition (a+b) = (b+a) 2. assosiative addition (a+b)+c = a+(b+c) 3. there exists a unique additive inverse for each element in the...

...me to become independent. His advice is directly related to his history and experiences, and it has been with this which he has taught me discipline throughout my life. It is an honor to have such a father.
My father and I share the same birth place, but totally different upbringings. His childhood was dominated by my grandfather's poverty which nearly inhibited his formal education. If it was not for his prioritized ambition, his fate would be similar to his four brothers: fastened to the lower middle class tier in a third world country. He educated himself up the social ladder across the Pacific and into America. His persistence is awe-inspiring, but more so is his retention. He literally taught me everything he knew, and that is what I idolize about him.
To my father, grades are everything. I still recollect the expensive summer grade books he bought in hope I would learn the next grade's material before hand, the long hours during weekends we sat on hard wood floors practicing mathematics, and watching our favorite nature shows on Discovery. The greatest influence was his bitter, unyielding tutoring. I always resisted it, and despised it, but now I am grateful. Through fifty problems a day, he taught me algebra, physics, patience, and zeal. My priceless time with my father has laid my academic foundation and to my passions of science and mathematics.
As I grew older, he became less...

...Various derivations of the word "algebra," which is of Arabian origin, have been given by different writers. The first mention of the word is to be found in the title of a work by Mahommed ben Musa al-Khwarizmi (Hovarezmi), who flourished about the beginning of the 9th century. The full title is ilm al-jebr wa'l-muqabala, which contains the ideas of restitution and comparison, or opposition and comparison, or resolution and equation, jebr being derived from the verb jabara, to reunite, and muqabala, from gabala, to make equal. (The root jabara is also met with in the word algebrista, which means a "bone-setter," and is still in common use in Spain.) The same derivation is given by Lucas Paciolus (Luca Pacioli), who reproduces the phrase in the transliterated form alghebra e almucabala, and ascribes the invention of the art to the Arabians.
Other writers have derived the word from the Arabic particle al (the definite article), and gerber, meaning "man." Since, however, Geber happened to be the name of a celebrated Moorish philosopher who flourished in about the 11th or 12th century, it has been supposed that he was the founder of algebra, which has since perpetuated his name. The evidence of Peter Ramus (1515-1572) on this point is interesting, but he gives no authority for his singular statements. In the preface to his Arithmeticae libri duo et totidem Algebrae (1560) he says: "The name Algebra is Syriac, signifying the art or...

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