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Babylonian mathematics dates from as early as 1800 BC, as indicated by cuneiform texts preserved in clay tablets. Babylonian arithmetic was based on a well-elaborated, positional sexagesimal system—that is, a system of base 60, as opposed to the modern decimal system, which is based on units of 10.
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The earliest extant mathematical text from Egypt is the Rhind papyrus and other texts attest to the ability of the ancient Egyptians to solve linear equations in one unknown. Today Linear equations would be known as something like 7x+3x=10
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The Indian mathematicians, Brahmagupta (AD 598–670) and Bhaskara II (AD 1114–1185), had invented the use of the Decimal to mathematics. A full-fledged decimal, positional system certainly existed in India by the 9th century
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Baghdad had written his famous treatise, which is a systematic exposition or argument in writing including a methodical discussion of the facts and principles involved and conclusions reached.
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One of the biggest milestones for the Greek was when the Pythagoreans had discovered that not all lengths are measured by a common unit.
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Diophantus was the first to introduce some kind of systematic symbolism for polynomial equations. A polynomial equation is composed of a sum of terms, in which each term is the product of some constant and a nonnegative power of the variable or variables. He has also written 13 books which he called Arithmetica.
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Girolamo Cardano wrote the Ars Magna which contains the Renaissance era’s most systematic and comprehensive account of solving cubic and quartic equations.
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François Viète marks the start of the classical discipline of algebra in the 16th century.
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Analytic algebra was created by two French thinkers Pierre de Fermat and Rene Descartes in the 17th century. They solved geometric problems that had remained unsolved since the time of the classical Greeks.
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A dutch mathematician had published a textbook named Moderne Algebra and had written stuff that presented a whole new image on the field of study.