What Is Algebra

May 29th, 2015
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The beginning of knowledge requires a definition of the subject matter that the students are about to study. It is a mystery why anyone would write a textbook on algebra and routinely fail to define the subject.

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What Is AlgebraWilliam G Mandras, 2004Abstract: The manuscript defines algebra as the language of higher mathematics, with the rules of logic imbedded. We discuss why the textbooks on algebra routinely fail to define the subject. The paper shows that algebra is a tool for reasoning in that it enables the connection of one statement to another. We also demonstrate that the language of algebra is an elegant tool for conveying information in the most precise and concise manner possible.What Is AlgebraThe beginning of knowledge requires a definition of the subject matter that the students are about to study. It is a mystery why anyone would write a textbook on algebra and routinely fail to define the subject. So what is algebra? Algebra is the language of higher mathematics, but it is not just another language. Algebra is an abstract symbolic language plus reasoning; it is a language with the rules logic built-in. The structure of algebra, assumption-deduction-conclusion, is based on the concept of formal proof, a human invention that dates from the fourth century BCE. An equation in algebra is equivalent to a sentence in a written language that has a quantitative connotat

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