Showing posts with label numerical. Show all posts
Showing posts with label numerical. Show all posts

Wednesday, December 20, 2023

Ancient Egyptian Math Skills

Around 6000 BC, the ancient Egyptians settled in the fertile Nile valley, where they began observing lunar phases and seasonal patterns for agricultural and religious reasons.

Within their society, mathematics played a pivotal role, being applied to tasks such as measuring time, establishing straight lines, evaluating Nile flood levels, computing taxes, surveying land areas, managing financial transactions, and even in culinary endeavors.

The numerical system employed by ancient Egyptians endured from about 3000 BC until the early first millennium AD. This system relied on multiples of ten, often rounded to higher powers, and was expressed through hieroglyphs. Distinct symbols represented one unit, ten, hundred, thousand, ten thousand, hundred thousand, and one million.

In contrast to the positional notation of the decimal system, the ancient Egyptians did not embrace such a concept. Instead, their proficiency lay in working with unit fractions, where the numerator was consistently one. These fractions were skillfully applied to express volumes of irregularly shaped objects and to address problems related to areas and volumes.
Ancient Egyptian Math Skills

Saturday, January 12, 2013

History and invention of zero

Zero plays a very important part in human place-value number system. In this system,. The value of a digit (0, 1, 2, 3, 4, 5, 6, 7, 8 or 9) depends on whether it is the number. This Hindu-Arabic numeration system was invented by the Hindus and transmitted to the West by the Arabs.

The Babylonians has used a character for the absence of number, and they made use of a primitive kind of place value, but they did not create a system of numeration in which the zero played any such part as it does in the which now use.

Zero was the last cog in the system to exist, invented more than 300 years after the rest of the Arabic number system was in use.

Hindu system emerged around 600 AD and the earliest known zero is found inscribed on the wall of temple in central India dated 870 AD.

By 800 AD, news of this system came to Baghdad. In the spring of 810 AD in Baghdad a great debate raged inside the Caliph’s chambers. Three men took part in the debate: the Caliph, Al-Khwarizmi and the palace mathematician, Ahmad ibn Aziz.

They argue about sifr, the empty place or zero. Al-Khwarizmi explained the decimal place value system and the concept of zero.

At the end of two days of questioning by the Caliph and by Aziz, Al-Khwarizmi had convinced the Caliph who declared that sifr was a true number.

Leonardo of Pisa, travelled throughout the Mediterranean and the Middle East, where he first heard of the new system and later published the Book of Computation in 1202.
History and invention of zero

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