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Proof Of The Fundamental Theorem Of Algebra
1,774 wordsThe Fundamental Theorem of Algebra states that every polynomial equation of degree n with complex coefficients has n roots in the complex numbers. In fact, there are many equivalent formulations: for example that every real polynomial can be expressed as the product of real linear and real quadratic factors. Early studies of equations by al " Khwarizmi (c 800) only allowed positive real roots and the Fundamental Theorem of Algebra was not relevant. Cardan was the first to realize that one could ...

Basic Operations Of Algebra
800 wordsALGEBRA REPORT Algebra is a branch of mathematics in which letters are used to represent basic arithmetic relations. As in arithmetic, the basic operations of algebra are addition, subtraction, multiplication, division, and the extraction of roots. Arithmetic cannot generalize mathematical relations such as the Pythagorean theorem: which states that the sum of the squares of the sides of any right triangle is also a square. Arithmetic can only produce specific instances of these relations (for e...

Systems Of Linear Equations
525 wordsBelieve it or not, algebra exists for a reason other than lowering a high school student's grade point average. Systems of linear equations, or a set of equations with two or more variables, are an essential part of finding solutions with only limited information, which happens to be exactly what algebra is. As a required part of any algebra student's life, it is best to understand how they work, not only so an acceptable grade is received, but also so one day the systems can be used to actually...

Information On Algebra And Geometry
1,265 wordsUnlike 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 thinkin...

Equations In Greek Algebra
1,212 wordsOverview The word algebra came from an Arabic expression, aljar wa'l muqabala, which was the title of the first Arabic text on algebra. AlKhwarizmi wrote the book in the ninth century A.D. According to AlKhwarizmi, algebra was " the art of reducing and solving equations" (van der Waerden 70). From the very beginning of its introduction, algebra was influenced by geometry. For example, the Babylonians view unknown quantities as lengths and widths and their products as areas. The product of two...

Mathematicians
612 wordsThe history of Algebra began in ancient Egypt and Babylon time. Diophantus of Alexandria wrote the first treatise on Algebra in the 3rd century A.D. The term derives from Arabic or literally "the reunion of broken parts". As well as its mathematical meaning, the word also means the surgical treatment of fractures. Ancient civilizations wrote out algebraic expressions using only occasional abbreviations, but by medieval times Islamic mathematicians were able to talk about arbitrarily high powers ...
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