Euclidean Geometry

Euclid was a Greek mathematician writer who lived around 300 BC. He wrote the most famous math textbook of history. He named his book ‘Elements’.

Elements continued to be used as a standard geometry textbook for 2000 years. Scientific geometry could not advance significantly during this period.

Geometry that is taught at secondary schools still bears the name of Euclid. It is called Euclidean Geometry. More advanced non-Euclidean geometries began much later during the 19th century.

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Introduction to Algebraic Expressions

An algebraic expression say 2 × x + y ÷ 2 – 3 cannot be evaluated to a definite number as values of x and y are unknown. x and y may be given any values and the resulting value of the expression would differ as a result.

The expression is written in a more compact form as

2x + y / 2 – 3

This expression has three algebraic terms. Terms of an algebraic expression are separated by + or – signs. 2x, y / 2 and 3 are the three terms in the given algebraic expression. 2 and x are factors of the term 2xy / 2 has factors 1 / 2 and y. Continue reading “Introduction to Algebraic Expressions”

Great Importance of Algebra Learning

Algebra is an extension of arithmetic. It handles unknown numbers along with known numbers. Unknown numbers are called variables. They are represented as alphabets such as a,b,x,y etc.

Mathematical statement 1 + 2 = 3  is true while  1 + 2 = 5 is false.

However, a statement like x + 1 = 3  is neither true nor false. x is a variable and may be given any value. The statement is true only for x = 2.
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Real Beginning of Math

Making discoveries is as important to math as it is to science. What a great brain it must have been that made the first math discovery.

Do you know who made the first math discovery? When  was it made and by whom?

Thales (624-546 BC) was the first to make a math discovery. He started the development of math as a science. He was a Greek mathematician, philosopher and astronomer. Before him, math was all about practical applications like counting, land surveying and making measurements for buildings that were to be constructed. Continue reading “Real Beginning of Math”

How Math Began

Math began with counting. Counting is a basic need. Prehistoric men led a simple life. Their need for counting was limited. They had names only for the first few counting numbers. For a greater count, they had the notion of many.

They might have used more difficult ways of keeping a count than we use today. To keep count of animals, herdsmen might have marked each animal against their fingers or toes. Pebbles or sticks might have enabled them to keep an even greater count by matching. Continue reading “How Math Began”