mathematics is the important subjects in all level. here the structure of mathematics and its type is included

2. WHAT IS MATHEMATICS ?

3. Mathematics is
an exact science
which is related
to measurements,
calculations,
discovering
relationships and
dealing with the
problems of
space.

4. MATHEMATICAL SYSTEM

5. Mathematics includes many
components which are in
themselves mathematical structure
or mathematical system.
A typical mathematical system has
the following four parts.

6. UNDEFINED TERMS
DEFINED TERMS
AXIOMS OR POSTULATES
THEOREMS

7. The choice of the
undefined terms is
completely arbitrary and
generally to facilitate the
development of the structure.
Example: point, line, plane,
variable, number, set etc.
UNDEFINED
TERMS

8. DEFINED TERMS
We defined the other terms of
the mathematical system
interms of undefined terms.
Example: angle, line segment
etc are some some terms,
which have been defined
with the help of undefined
and defined terms we
develop statements
concerning mathematical
principles.

9. AXIOMS
Axioms refer to all other
initial assumptions.