Babylonian method

Yes, I said by hand. Scientific calculators with a square root key were not yet widely available, so I and previous generations of children suffered through learning to calculate square roots by hand. I still remember being amazed when I first saw the iterative square root algorithm.

Babylonian method

The Kassites, like the Amorite rulers who had preceded them, were not originally native to Mesopotamia. Rather, they had first appeared in the Zagros Babylonian method of what is today northwestern Iran. The ethnic affiliation of the Kassites is unclear.

Babylonian method

However, their language was not Semitic or Indo-Europeanand is thought to have been either a language isolate or possibly related to the Hurro-Urartian language family of Anatolia, [11] although the evidence for its genetic affiliation is meager due to the scarcity of extant texts.

However, several Kassite leaders may have borne Indo-European namesand they may have had an Indo-European elite similar to the Mitanni elite that later ruled over the Hurrians of central and eastern Anatolia.

This new foreign dominion offers a striking analogy to the roughly contemporary rule of the Hyksos in ancient Egypt. Most divine attributes ascribed to the Amorite kings of Babylonia disappeared at this time; the title "god" was never given to a Kassite sovereign.

Hellenistic Monarchs & Sketches in the History of Western Philosophy

However, Babylon continued to be the capital of the kingdom and one of the 'holy' cities of western Asia, where the priests of the ancient Mesopotamian religion were all-powerful, and the only place where the right to inheritance of the short lived old Babylonian empire could be conferred.

It is not clear precisely when Kassite rule of Babylon began, but the Indo-European Hittites from Anatolia did not remain in Babylonia for long after the sacking of the city, and it is likely the Kassites moved in soon afterwards.

Agum II took the throne for the Kassites in BC, and ruled a state that extended from Iran to the middle Euphrates; The new king retained peaceful relations with Erishum IIIthe native Mesopotamian king of Assyria, but successfully went to war with the Hittite Empireand twenty-four years after, the Hittites took the sacred statue of Marduk, he recovered it and declared the god equal to the Kassite deity Shuqamuna.

The Sealand Dynasty of southern Mesopotamia remained independent of Babylonia and in native Akkadian-speaking hands. However, Ulamburiash managed to attack it conquered parts of the land from Ea-gamil, a king with a distinctly Sumerian name, around BC, whereupon Ea-Gamil fled to his allies in Elam.

The Sealand Dynasty region still remained independent however, and the Kassite king seems to have been unable to finally conquer it. Ulamburiash began making treaties with ancient Egyptwhich then was ruling southern Canaanand Assyria to the north.

Karaindash built a bas-relief temple in Uruk and Kurigalzu I — BC built a new capital Dur-Kurigalzu named after himself, transferring administrative rule from Babylon.

Both of these kings continued to struggle unsuccessfully against the Sealand Dynasty. Agum III also campaigned against the Sealand Dynasty, finally wholly conquering the far south of Mesopotamia for Babylon, destroying its capital Dur-Enlil in the process.

Babylonian method

From there Agum III extended farther south still, invading what was many centuries later to be called the Arabian Peninsulaand conquering the pre-Arab state of Dilmun in modern Bahrain.

He then had to contend with the Suteansancient Semitic-speaking peoples from the southeastern Levant who invaded Babylonia and sacked Uruk. He went on to conquer the eastern lands of Elam. This took his army to the Elamite capital, the city of Susa, which was sacked. After this a puppet ruler was placed on the Elamite throne, subject to Babylonia.

Kurigalzu I maintained friendly relations with Assyria, Egypt and the Hittites throughout his reign.

The Jewish Text

Kadashman-Enlil I — BC succeeded him, and continued his diplomatic policies. Burna-Buriash II ascended to the throne in BC, he retained friendly relations with Egypt, but the resurgent Middle Assyrian Empire — BC to the north was now encroaching into northern Babylonia, and as a symbol of peace, the Babylonian king took the daughter of the powerful Assyrian king Ashur-uballit I in marriage.i found this method to calculate the square root in a youtube video, but I could not understand the mathematical concept behind it, the code works perfectly, can anyone explain to me what happens i.

Hellenistic Monarchs down to the Roman Empire. The Hellenistic Age suffers from some of the same disabilities as Late Antiquity, i.e. it doesn't measure up to the brilliance of the Golden Age of Greece and of late Republican and early Imperial Rome.

The Babylonian Method states that if the previous guess, x n, is an overestimate of the square root of a number, S, then a more precise next guess, x n+1, is the average of the previous guess and the number divided by the previous guess.

The Beginning of the History of the Scientific Method

Python Math: Exercise with Solution. Write a Python program to computing square roots using the Babylonian method. Perhaps the first algorithm used for approximating √S is known as the Babylonian method, named after the Babylonians, or "Hero's method", named after the first-century Greek mathematician Hero of Alexandria who gave the first explicit description of the method.

This means the Babylonian method is a special case of Newton’s method. The reason it converges so quickly is because Newton’s method converges quadratically, and we started with a quadratic function whose roots we wanted to find. Feb 26,  · I have to write a program that will use thr babylonian algorithm to find the square root of a number.

It must iterate as many times as needed to be able to get a more precise answer. So this is what I have so far.

Babylonian Algorithm - C++ Forum