Definitions of algebra

Definitions of algebra

Definitions of algebra (Part1)
1. ALGEBRA, like Arithmetic, is a science which treats of numbers. In Arithmetic numbers are represented by figures which have determinate values. In Algebra the letters of the alphabet are used to represent numbers, and each letter can stand for any number whatever, except that in any connected series of operations each letter must throughout be supposed to represent the same number. Since the letters employed in Algebra represent any numbers whatever, the results arrived at Read More...
Definitions of algebra (Part2)
6. The sign -T-, which is read 'divided by' or 'by / is placed between two numbers to indicate that the first number, called the dividend, is to be divided by the second number, called the divisor. Thus a-r-b means that a is to be divided by b ; also a -=- b -j- c means that a is to be divided by b, and the result divided by c; and a -f- 6 x c means that a is to be divided by b and the result multiplied by c. Thus in multiplications and divisions the order of the operations is from left to righ Read More...
Definitions of algebra (Part3)
10. A number which when squared is equal to any number a is called a square root of a, and is represented by the symbol f/a, or more often by *Ja: thus 2 is *J4s, since 2 s = 4. A number which when cubed is equal to any number a is called a cube root of a, and is represented by the symbol f/a : thus 3 is ^27, since 3 s = 27. In general, a number which when raised to the nth power, where n is any whole number, is equal to a, is called an nth root of a, and is represent Read More...

Definitions of algebra (Part4)