May 29th, 2015
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1. What is Algebra?Algebra can essentially be considered as doing computations similar to that ofarithmeticwith non-numerical mathematical objects.Initially, these objects represented either numbers that were not yet known (unknowns) or unspecified numbers (indeterminateorparameter), allowing one to state and prove properties that are true no matter which numbers are involved.2. What are the topics to be discussed in Algebra?A. Sets and Real NumbersB. Real Number SystemC. Rational ExpressionD. Relations and FunctionsE. Exponents, Roots and RadicalsF. InequalitiesG. Complex NumbersH. Linear and Quadratic Equation and Systems of EquationI. Mathematical Sequence & Binomial TheoremJ. 3. Who is the Father of Algebra & give a brief narration of his lifeworks.K. Diophantus of Alexandria between AD 201 and 215, d. between 285 and 299 at age 84), sometimes called "the father ofalgebra", was anAlexandrianGreek mathematician and the author of a series of books called Arithmetica, many of which are now lost. These texts deal with solvingalgebraic equations. While readingClaude Gaspard Bachet de Mziriac's edition of Diophantus'Arithmetica,Pierre de Fermatconcluded that a certain equation considered by Diophantus had no solutions, and noted in the margin without elaboration that he had found "a truly marvelous proof of this proposition," now referred to as Fermat's Last Theorem. This led to tremendous advances innumber theory, and the stud

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