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Created: 15 Jan, 2010; Last Modified: 15 Aug, 2010

Mathematics

Introduction

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Mathematics is an ancient science which uses logical reasoning, counting, measuring and calculations to make sense of the real world. It a very pervasive subject which is used in its simple form in most of our daily activities. Mathematics is used by most other sciences for providing precision and accuracy to their results and conclusions.

Those involved in the study of mathematics and its applications are known as mathematicians.

Branches of mathematics

One way of looking at mathematics is as two main groups – pure math and applied math. Pure math is the study of mathematics as a subject for its own sake, while applied math is the study of mathematics with the aim of applying it to solve real world problems in engineering, science and technology and business.

Another classification of mathematics divides it into subjects like arithmetic, algebra, geometry, trigonometry and statistics.

Arithmetic
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The word “arithmetic” derives from the Greek word “arithmos” meaning “number.” Arithmetic is the study of nature and properties of numbers, including the basic operations of addition, subtraction, multiplication and division, as well as raising powers and taking roots. These concepts are employed for calculations involving fractions, percentages, ratios and proportions.

Algebra
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Source: Perelman, Algebra Fun, p. 88

Often described as “arithmetic with letters,” algebra (unlike arithmetic which deals with specific numbers) brings in the concepts of variables which expands the scope of arithmetic through the use of equations. It can be used for solving problems of much greater complexities than arithmetic can.

Geometry
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Source: Thompson, Geometry Practical Worker, p. 100

The world “geometry” means “earth measurement” in Greek. It deals with points, lines, surfaces, solids and their relationships. Geometry precisely defines different types of figures and provides methods for constructing them. It not only gives a wealth of important facts about the figures, but also methods to proves them following simple lines of reasoning.

Trigonometry

Trigonometry is the study of triangles, angles and their relationships through the use of the three main trigonometric functions of sine, cosine and tangent.

Statistics

Statistics deals with the study, classification and analysis of raw collection of data. Statistical techniques help find hidden meanings and significance, patterns and trends from the raw data.

 

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List of References

Perelman, YI, Algebra can be fun, Moscow: Mir Publishers, 1979.
Thompson, JE, Geometry for the Practical Worker, 4th edn, NY: Van Nostrand's Reinhold Company Inc., 1982.

Bibliography

'geometry,' in Britannica Student Library, Ultimate Reference Suite, CD-ROM, Chicago: Encyclopedia Britannica, 2008.
'mathematics,' in Britannica Elementary Library, Ultimate Reference Suite, CD-ROM, Chicago: Encyclopedia Britannica, 2008.
'sciences, the,' in Britannica Student Library, Ultimate Reference Suite, CD-ROM, Chicago: Encyclopedia Britannica, 2008.