Mathematics is one of the  most useful and fascinating divisions of human knowledge.
For this reason, the term mathematics is difficult to define. It comes from a Greek word
meaning “inclined to learn.”
      The most important skills in mathematics are careful analysis and clear reasoning.
These skills can help us solve some of the deepest puzzles we must face. Mathematics is
based upon logic. Starting from widely accepted statements, mathematics use logic to
draw conclusions and develop mathematical systems.
      The work of mathematicians may be divided into pure mathematics and applied
mathematics. Pure mathematics seeks to advance mathematical knowledge for its own
sake rather than for any immediate particle use. Applied mathematics seeks to develop
mathematical techniques for use in science and other fields.
      The boundary between pure mathematics and applied mathematics is not always
clear. Ideas developed in pure mathematics often have practical applications, and work in
applied mathematics frequently leads to research in pure mathematics.
      Nearly every part of our lives involve mathematics. It has played an essential role
in the development of modern technology-the tools, materials, techniques, and sources of
power the make our lives and work easier.
      In everyday life, we use mathematics for such simple tasks as telling time from a
clock or counting our change after making a purchase. We also use mathematics for such
complex tasks as making a household budget of figuring our income tax. Cooking,
driving, gardening, sewing, and many other common tasks involve mathematical
calculations. Mathematics is also part of many games.
      Mathematics helps industries design, develop, and test products and
manufacturing processes. Mathematics is necessary in designing bridges, dams, tunnels,
and other architectural and engineering projects.
       Mathematics has many branches. They may differ in the types of problems
involved and in the practical application of their results. However, mathematicians
working in dirrerant branches often use many of the same basic concepts and operations.
      Arithmetic includes the study of whole numbers, fractions and decimals, and the
operation of addition, subtraction, multiplication, and division. It forms the foundation
for other kinds of mathematics by providing such basic skills as counting and grouping
objects, and measuring and comparing qualities. Algebra is not limited to work with specific numbers.  Algebra involves solving
problems with equations in which letters stand as unknown quantities. Algebraic
operations also use negative numbers and imaginary numbers.
      Geometry is concerned with the properties and relationships of figures in space.
Plane geometry deals with squares, circles, and other geometrical figures that lie on a
plane. Solid geometry involves figures such as cubes and spheres, which have three
dimensions.
      Trigonometry is used widely by astronomers, navigators, and surveyors to
calculate angles and distances when direct measurement is possible. It deals with the
relationship between the sides and angles of triangles.
      Calculus and analysis have many practical uses in engineering, physics, and other
sciences. Calculus provides a way of solving many problems that involve motion or
changing quantities. Analysis involves various mathematical operations with infinite
qualities.
      The uses of mathematics are widely-ranged and are used in daily life functions
and activities.
WHAT IS MATH?