The invention of algebra from the ancient world has produced many opportunities for the modern world we live in today. According to the Webster’s Dictionary, “algebra by definition is the part of mathematics in which letters and other symbols are used to represent numbers and quantities in formulae and equations.” First and for most, algebra is divided into two different groups, the first group being “classical algebra”, which is solving equations and finding the unknown variable. The second group is “abstract algebra” also called “modern algebra”, which is made up of real numbers, complex numbers, matrices, and vector spaces. In addition, algebra developed through algebraic notation in three different stages: the rhetorical or verbal stage, the syncopated stage, where words are abbreviated, and the stage we are most familiar with, symbolic stage, which are symbols such as minus, division, multiplication sign, parenthesis, brackets, exponents, logarithms, letters for variables, and the list goes on and on. The history of algebra began in Egypt, Babylon, India, and eventually spread throughout the world via the Arabs. The word algebra is an Arabic word al-jabr, meaning the reunion of broken parts. This best describes the method for solving both sides of an equation. Abu Ja’far Muhammad ibn Musa al-Khwarizimi or Father of Algebra is one of the greatest mathematicians ever known as well as the most influential for writing down the first algebraic calculations in place of the abacus; which is a mechanical device that used beads or balls that moved on a rod for calculations. One of al-Khwarizimi’s books, al-Kitab al mukhtasar fi Hisab al jabr w’al muqabala, shows how to solve basic equations and then moves in to the business of practical applications. Al-jabr is about removing negative terms from equations and al-muqabala is balancing the values of an equation across an equal sign. Algebra was incredibly important even from its early stages because it created a...

...HISTORY OF ALGEBRA
M AT H 1
WHAT IS ALGEBRA?
• Denotes various kinds of mathematical
ideas and techniques
• more or less directly associated with
formal manipulation of abstract symbols
and/or with finding the solutions of an
equation.
HISTORICAL OBJECTIVES
1. attempts to deal with problems devoted
to finding the values of one or more
unknown quantities.
2. the evolution of the notion of number
3. the gradual refinement of a symbolic
language...

...HISTORY OF ALGEBRA
M AT H 1
WHAT IS ALGEBRA?
• Denotes various kinds of mathematical
ideas and techniques
• more or less directly associated with
formal manipulation of abstract symbols
and/or with finding the solutions of an
equation.
HISTORICAL OBJECTIVES
1. attempts to deal with problems devoted
to finding the values of one or more
unknown quantities.
2. the evolution of the notion of number
3. the gradual refinement of a symbolic
language...

...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...

...The History of Algebra
The history of algebra has been around for several decades, this method of mathematics has been used during the beginning of time. The development of algebraic notation progressed through out three stages: the rhetorical stage, the syncopated stage, and the symbolic stage with which we are use to using in our daily usage of algebra. In ancient civilization math was used to help leaders to...

...History of Classical Algebra
Around grades 8 through 10, most students are learning the basics of Algebra 1 and 2. Where did this subject evolve from and who were the mathematicians who patented it? Was it just one civilization that came up with the concept or many that built on each other? These are all great questions to look at when looking at the evolution of Algebra. The ideas of Algebra were very slow developing,...

...Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis.
For historical reasons, the word "algebra" has several related meanings in mathematics, as a single word or with qualifiers.
• As a single word without article, "algebra" names a broad part of mathematics (see below).
• As a single word with article or in plural, "algebra" denotes a specific mathematical structure. See...

...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...

...Algebra (from Arabic al-jebr meaning "reunion of broken parts"[1]) is one of the broad parts ofmathematics, 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, andfields. The more basic parts of algebra are calledelementary algebra, the more abstract parts are called abstract algebra or modern algebra....

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