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Representation in Algebra: The Problem Solving Approach

Representation in Algebra: The Problem Solving Approach

Introduction

Algebra is a branch of mathematics in letters which are used to represent arithmetic relations. As in arithmetic, fundamental operations of algebra are addition, subtraction, multiplication, division and calculation of roots.

The classical algebra, which deals with solving equations, uses symbols instead of specific numbers and arithmetic operations to determine how to use these symbols. The classical algebra s, which deals with solving equations, uses symbols instead of specific numbers and arithmetic operations to determine how to use these symbols. Modern algebra has evolved from classical algebra by putting more attention on the mathematical structures. Modern algebra has evolved from classical algebra by putting more attention on the mathematical structures. Mathematicians consider modern algebra as a set of objects with rules that connect or relate. Mathematicians consider modern algebra as a set of objects with rules that connect or recount. Thus, in its most general form, a good definition of algebra is the one that says that algebra is the language of mathematics

History

The history of algebra began in ancient Egypt and Babylon, where they were able to solve linear (ax = b) and quadratic (ax 2 + bx = c), and indeterminate equations x 2 + y 2 = z 2, several unknowns. The history of algebra began in ancient Egypt and Babylon, where they were able to solve linear (ax = b) and quadratic (ax 2 + bx = c), and indeterminate equations x 2 + y 2 = z 2, several unknowns. The ancient Babylonians solved any quadratic equation using essentially the same methods to teach today. The ancient Babylonians and stock solved essentially quadratic equation using the same methods to teach today. They were also able to resolve some indeterminate equations.

Alexandrian mathematicians hero and Diophantus continued the tradition of Egypt and Babylon, although the book the arithmetic of Diophantus is much more level and has many surprising solutions for indeterminate equations difficult. Alexandrian mathematicians hero and Diophantus continued the tradition of Egypt and Babylon, although the book the arithmetic of Diophantus is much more level and has many surprising solutions for indeterminate equations difficult. This ancient wisdom found on solving equations, in turn, received in the Islamic world, where it was called "science to reduce and balance." this ancient wisdom found on solving equations, in turn, received in the Islamic world, where, it was called "science to reduce and balance." (The Arabic word al-jabru which means 'reduction' is the origin of the word algebra).

In the ninth century, the mathematician Al-Jwðrizmð wrote one of the earliest Arabic books of algebra, a systematic presentation of the fundamental theory of equations, with examples and demonstrations included. The Arabic mathematicians wrote one of the earliest Arabic books of algebra, a methodical appearance of the elementary theory of equations, with cases and expression embraced.

The Arabic word which means 'reduction' is the origin of the word algebra. In the late ninth century, the Egyptian mathematician Abu Kamil stated ...

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