Algebra existed long before the Christian era.
We find traces on tablets found at the site of NIPPUR (Babylon), four thousand years old, and almost at the same time, Egypt. Then it was Greece, nursery learned philosophers and mathematicians, take the torch of algebra before sending the closest we civilized nations, those Indians , those Arabs who 'introduced in Europe Average age (around 950).
In 825, a sage of Baghdad, al-Khwarizmi wrote a famous treatise on mathematics called AL-Djabrw J has muqabalah (s assemble and reduce unknowns to match a known quantity.) From there is born ALGEBRA name.
The algebra reduces to a specific problem or more simple equations where the numbers to find are replaced by letters that are called "unknown".
Where ”Solve " the resolution of equations or inequalities, the calculations of numerical expressions (e.g. 3 x 2 - 7x +3) for values of x belonging to the sets of integer’s problems within algebra.
In a matter of arithmetic the same number can represent two different sizes. One can, for example, consider 12 meters plinth at 12 Euros per meter. In the calculations, the number 12 s' used alone without indicating the nature of the greatness that is and when you should perform the operations, we cannot know, without making an effort of memory, if the number 12 which is written represents Euros or meters. In addition, if then we do a similar problem, we will be obliged to repeat on new data the same reasoning as we did previously, since we know the nature of the particular quantity represented by each of the numbers written; we cannot enjoy the previous calculations to obtain the result faster.
Suppose now that in the previous example, instead of letting the numbers, it is appropriate to be represented by " a” number of meters by" b " the number of Euros that each meter costs (excluding any other meaning): everywhere you see " a ", we think of the numbers of meters; and wherever we see " b "is think the number of Euros. If the solution found in these conditions we see that there is: b has , it will mean that it will increase the number of Euros by the number of meter and that, in all similar instances, regardless of Besides the numbers represented by " a "and" b ".
The notation b is equivalent to a whole sentence, this type of sentence is called "algebraic notation" Algebraic notation is a writing that uses letters and operational signs expressing a mathematical situation.
Purpose of the algebra:
The algebra aimed at simplifying and generalizing questions about the numbers: The algebra is therefore to :
1) To simplify the calculations.
2) Facilitate the resolution of problems.
3) To generalize the results.
The simplification is due to the use of signs to indicate operations and in problems, letters to denote the numbers sought. Generalization is due to the use of letters to represent numbers given.
SIGNS AND LETTERS USED IN ALGEBRA.
0n denotes the number (quantity) by letters means that the letters used to represent numbers. Instead of reasoning, as in arithmetic on numbers "4"; "6"; " "; etc., we reason on letters. "a", "b", "c", ... "x", "y" ... supposed to represent known numbers or "to know" The results that we manage and offer a wide generality, because, as it is not clear on what numbers we operate, they are true for all numbers.
The first letters of the alphabet "a", "b", "c", .... Usually represent numbers (quantities) known. The numbers that we intend to seek are most often designated by the last letters of the alphabet : "x", "y", "z" ... the numbers called (quantities) "unknown"
The "Signs” operative.
Algebra uses the same signs as the arithmetic and a few others we...
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