History of Algebra

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 Ð'- 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 Ð'- 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 of algebra" ("Diophantus"). However, many mathematicians still argue that algebra was actually started in the Arab countries by Al Khwarizmi, also known as the "father of algebra" or the "second father of algebra". Al Khwarizmi did most of his work in the 9th century. Khwarizmi was a scientist, mathematician, astrologer, and author. The term algorithm used in algebra came from his name. Khwarizmi solved linear and quadratic equations, which paved the way for algebra problems that are now taught in middle school and high school. The word algebra even came from his book titled Al-jabr. In his book, he expanded on the knowledge of Greek and Indian sources of math. His book was the major source of algebra being integrated into European disciplines ("Al-Khwarizmi"). Khwarizmi's most important development, however, was the Arabic number system, which is the number system that we use today. In the Arabic number system, the symbols 1 Ð'- 9 are used in combination to make and infinite amount of numbers ("Letters").

Another famous Arab mathematician was Omar Khayzam. 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").

From the period of 1145AD Ð'- the late 16th century, many mathematicians developed on algebraic concepts. However, it was not until the 1680's that the most remarkable discoveries were made using algebra. Sir Isaac Newton was a very famous mathematician, English physicist, astronomer, philosopher, and alchemist. During his period of study, he used algebra to describe universal gravitation, develop the laws of motion, found orbits of the planets to be elliptical, discovered that light was made of particles, discovered the rate of cooling objects, and the binomial theorem. His most important works were the development of calculus. However, Newton did not work alone on creating the calculus system ("Isaac Newton").

Independently alongside Newton, Wilhelm Gottfried Leibniz (1646 Ð'- 1716) also developed calculus. Leibniz was a mathematician, philosopher, scientist, librarian, and a lawyer. He created the functions that are used today to describe quantities related to a curve, as well as point and slope. Using algebra, he also developed the first mechanical calculator that could divide and multiply. The most extraordinary discovery that Leibniz made, however, was the binary number system, which is used in computers today. Many mathematicians speculate on what would have happened if Leibniz would have done more research with the binary number system ("Gottfried Leibniz").

During the medieval period, algebra and