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...journal|last=Meijering|first=Erik|title=A Chronology of Interpolation From Ancient Astronomy to Modern Signal and Image Processing|journal=Proceedings of the Mathematicians prior to Brahmagupta used a simple [[linear interpolation]] formula. The l ...

[[Babylonian mathematics|Babylonian]] and [[Ancient Egyptian mathematics|Egyptian mathematics]] solving quadratic equations ==== Indian mathematics ==== ...

...sine]]s discovered by [[Bhāskara I]] (c. 600 – c. 680), a seventh-century Indian [[mathematician]].<ref name="mcs">{{Cite web|url=http://www-history.mcs.st- ...last=R.C. Gupta|year=1967|title=Bhāskara I's approximation to sine|journal=Indian Journal of History of Science|volume=2|issue=2|url=http://www.new.dli.ernet ...

...mpton-322/ |access-date=2023-04-04 |website=Institute for the Study of the Ancient World, [[New York University]]}}</ref> * 150 BC – [[Jainism|Jain]] mathematicians in [[History of India|India]] write the "Sthananga Sutra", which contains w ...

...n the 13th century AD, which introduced [[Arab world|Arabian]] and [[India|Indian]] ideas to the continent. It has continued to be studied in the [[modern e The ideas of the Bhagavati were generalized by the Indian mathematician [[Mahavira (mathematician)|Mahavira]] in 850&nbsp;AD, and Pin ...

=== Ancient Greece === ...tegers.<ref>[[Morris Kline|Kline, M.]] (1990). ''Mathematical Thought from Ancient to Modern Times'', Vol. 1. New York: Oxford University Press (original work ...

...tities, but infinity continued to be associated with endless processes. As mathematicians struggled with the foundation of [[calculus]], it remained unclear whether ...out the nature of infinity. The [[Vedic period|ancient Indians]] and the [[ancient Greece|Greeks]] did not define infinity in precise formalism as does modern ...

...[[recreational mathematics]] literature in the late 19th century. Several mathematicians have formulated different generalizations of the puzzle to numbers other th Similar problems of unequal division go back to ancient times, but without the twist of the loan and return of the extra camel. For ...

...d compute with them, without knowing how they can be defined; this is what mathematicians and physicists did during several centuries before the first formal definit ...y determined.<ref>T. K. Puttaswamy, "The Accomplishments of Ancient Indian Mathematicians", pp. 410–11.&nbsp;In: {{citation |title = Mathematics Across Cultures: The ...

...=March 15, 2015}}</ref><ref>{{cite web|url=http://www.math.buffalo.edu/mad/Ancient-Africa/ishango.html|title=an old Mathematical Object|publisher=|accessdate= ...first [[Babylonian cuneiform numerals|numeral system]], and a system of [[Ancient Mesopotamian units of measurement|weights and measures]]. ...

...r Spiegel]]'',{{r|derspiegel42}} ''[[New Zealand Herald]]'',{{r|nz42}} ''[[Indian Express]]'',{{r|ind42}} ''[[Der Standard]]'',{{r|derstand42}} ''[[Las Provi * [[Plato's number]], an ancient text possibly discussing the equation 3{{sup|3}} + 4{{sup|3}} + 5{{sup|3}} ...

...of feudal states of Kerala|principality]] on the [[Malabar Coast]] of the Indian subcontinent during the [[Middle Ages]]. It was governed by the Tanur dynas ...stern historians, presumably at first because they could not admit that an Indian discovered the calculus, but later because no one read the ''Transactions o ...

...focused on the [[Ptolemy's table of chords|calculation of chords]], while mathematicians in India created the earliest-known tables of values for trigonometric rati ...similar method.<ref>{{cite book|author=Otto Neugebauer |title=A history of ancient mathematical astronomy. 1 |url=https://books.google.com/books?id=vO5FCVIxz2 ...

=== Ancient and imperial era === ...an spirits representing 11 pm to 1 am (left) and 5 am to 7 am (right); the ancient Chinese, although discussing it in supernatural terms, acknowledged [[circa ...

...aad8085 |pmid=26823423 |s2cid=206644971}}</ref> South of Egypt the [[Nubia|ancient Nubians]] established a system of geometry including early versions of sun ...r-link=Frits Staal | title=Greek and Vedic Geometry | journal=Journal of Indian Philosophy | volume=27 | issue=1–2 | year=1999 | pages=105–127 | doi=1 ...

...eriod]] to solve specific problems in fields like [[geometry]]. Subsequent mathematicians examined general techniques to solve equations independent of their specifi ...yrus.jpg|thumb|alt=Rhind Papyrus|The [[Rhind Mathematical Papyrus]] from [[ancient Egypt]], dated {{circa|1650 BCE}}, is one of the earliest documents discuss ...

...wn as a [[conjecture]] rather than a theorem. After 358 years of effort by mathematicians, [[Wiles's proof of Fermat's Last Theorem|the first successful proof]] was ...f name=":0"/> but a proof for all exponents was inaccessible (meaning that mathematicians generally considered a proof impossible, exceedingly difficult, or unachiev ...

...stent popular claims have been made for the use of the [[golden ratio]] in ancient art and architecture, without reliable evidence. In the Italian [[Renaissan ==Origins: from ancient Greece to the Renaissance== ...

...me into existence through a gigantic endeavor to acquire and translate the ancient sciences of the Greeks between the eighth and ninth centuries. The translat {{Main|Greek contributions to the Islamic world|Indian influence on Islamic science|Christian influences on the Islamic world|Chin ...

== Ancient Egypt == ...l is being spent. This practice has existed in some form for centuries; in ancient [[Egypt]], for example, when grain was often used as currency, local granar ...