Current location - Training Enrollment Network - Mathematics courses - When did mathematics in ancient Egypt progress from binary to decimal?
When did mathematics in ancient Egypt progress from binary to decimal?
Around 2900 BC, decimal notation appeared in ancient Egypt, which simplified multiplication into decimal calculation of arithmetic and addition.

But the decimal system was invented by China. In ancient China, counting was based on chips, so it evolved into decimal system.

Today's understanding of ancient Egyptian mathematics is mainly based on two rolls of cursive script written in Mongolian; One is in London, called rhind papyrus, and the other is in Moscow.

The oldest writing in Egypt is hieroglyphics, which later evolved into a simpler way of writing, usually called monk writing. In addition to these two volumes of cursive script, there are some historical materials written in hieroglyphics on sheepskin or engraved on stone tablets and wooden boards, which are hidden all over the world. The two volumes of cursive script date from BC 1850 to BC 1650, which is equivalent to the Xia Dynasty in China.

Egypt has used decimal notation for a long time, but it doesn't know the value system. Each higher unit is represented by a special symbol. For example, 11,hieroglyphics are written in three different languages instead of repeating1three times. Egyptian arithmetic is mainly addition, and multiplication is the repetition of addition.

They can solve some problems of linear equations with one variable and have a preliminary understanding of arithmetic and geometric series. Fraction algorithm is particularly important, that is, the sum of all fractions in Huasong unit fraction (that is, fraction with numerator 1).

Rhind papyrus used a lot of space to record the result that the score of 2/N(N from 5 to 10 1) was decomposed into unit scores. Why and how to decompose it is still a mystery. This complex fractional algorithm actually hinders the further development of arithmetic.

The paper cursive script also gives the calculation method of circular area: subtract its diameter from 1/9 and then square it. The calculation result is equivalent to using 3. 1605 as pi, but there is no concept of pi. According to Moscow papyrus, it is speculated that they may know the calculation method of the volume of regular quadrangular prism. In a word, the ancient Egyptians accumulated some practical experience, but it has not yet become a systematic theory.

I hope it helps you.