Mathematical notation is a system of symbolic representations of mathematical objects and ideas. Mathematical notations are used mathematical symbols and meaning pdf mathematics, the physical sciences, engineering, and economics.
A mathematical notation is a writing system used for recording concepts in mathematics. The notation uses symbols or symbolic expressions which are intended to have a precise semantic meaning.
In the history of mathematics, these symbols have denoted numbers, shapes, patterns, and change. The notation can also include symbols for parts of the conventional discourse between mathematicians, when viewing mathematics as a language. Systematic adherence to mathematical concepts is a fundamental concept of mathematical notation. See also some related concepts: Logical argument, Mathematical logic, and Model theory.
A mathematical expression is a sequence of symbols which can be evaluated. For example, if the symbols represent numbers, the expressions are evaluated according to a conventional order of operations which provides for calculation, if possible, of any expressions within parentheses, followed by any exponents and roots, then multiplications and divisions and finally any additions or subtractions, all done from left to right.
In a computer language, these rules are implemented by the compilers. For more on expression evaluation, see the computer science topics: eager evaluation, lazy evaluation, and evaluation operator.