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? |