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{{Short description|Chinese mathematician (580–640)}} ...He is famous as the author of the ''[[Jigu Suanjing]]'' (''Continuation of Ancient Mathematics'') one of the ''[[Ten Computational Canons]]''. ...

...ren V. H. Parshall, Jean-Claude Martzloff|title=Li Shanlan (1811–1882) and Chinese Traditional Mathematics|journal=The Mathematical Intelligencer|date=Septemb ...itor1-last=Robin Wilson|editor1-first=John J. Watkins|title=Combinatorics: Ancient & Modern|date=2013|publisher=OUP|location=Oxford|isbn=9780191630637|pages=7 ...

'''''Jigu suanjing''''' ({{lang-zh|緝古算經}}, ''Continuation of Ancient Mathematics'') was the work of early [[Tang dynasty]] calendarist and mathe ...elopment for solution of high order polynomial equations in the history of Chinese mathematics. Before his time, ''The Nine Chapters on the Mathematical Art'' ...

...ical field of [[combinatorics]] was studied to varying degrees in numerous ancient [[Society|societies]]. Its study in [[Europe]] dates to the work of [[Leon ...on they determine that there are <math>2^6=64</math> possible hexagrams. A Chinese [[monk]] also may have counted the number of configurations to a game simil ...

...{{cite journal |last=Ossendrijver |first=Mathieu |date=Jan 29, 2016 |title=Ancient Babylonian astronomers calculated Jupiter's position from the area under a ...convergence/on-squares-rectangles-and-square-roots-square-roots-in-ancient-chinese-mathematics |access-date=2022-11-03 |website=www.maa.org}}</ref> ...

...nd the immediate [[Solar System]]. They also discovered many concepts in [[Chinese mathematics|mathematics]]. The list below contains discoveries which found === Ancient and imperial era === ...

...geometry operations involving a diagram from which, it has been suggested, ancient Mesopotamians might, at an earlier time, have derived the Pythagorean theor ...tice of representing parameters and unknowns by letters were unheard of in ancient times. It is now widely accepted as a result of [[Jens Høyrup]]'s extensive ...

...[[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 ...

...abstractness, purity, simplicity, depth or orderliness of [[mathematics]]. Mathematicians may express this pleasure by describing mathematics (or, at least, some asp Mathematicians commonly describe an especially pleasing method of [[Mathematical proof|pro ...

...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]]. ...

The theorem is named for the [[Ancient Greece|Greek]] philosopher [[Pythagoras]], born around 570 BC. The theorem ...] ''[[Euclid's Elements|Elements]]'', and mentions the proposals of German mathematicians [[Carl Anton Bretschneider]] and [[Hermann Hankel]] that Pythagoras may hav ...

...on [[Chinese history|Chinese]] and [[Mongolian history]], opened the first Chinese-language school in Russia *'''[[Boris Farmakovsky]]''', archaeologist of [[Ancient Greek]] colony [[Olbia, Ukraine|Olbia]] ...

...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== ...

...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 ...

...aad8085 |pmid=26823423 |s2cid=206644971}}</ref> South of Egypt the [[Nubia|ancient Nubians]] established a system of geometry including early versions of sun [[Indian mathematics|Indian]] mathematicians also made many important contributions in geometry. The ''[[Shatapatha Brah ...

== Ancient == ...509–1575), humanist and mathematician, translator of many works of ancient mathematicians, the proposition known as [[Commandino's theorem]] first appears in his wor ...

...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 ...

...modern formal logic, which has its roots in the work of late 19th-century mathematicians such as [[Gottlob Frege]]. Today, the most commonly used system is [[classi ...[Averroes|Ibn Rushd]] (Averroes) were drawn on. This expanded the range of ancient works available to medieval Christian scholars since more Greek work was av ...

...ref>{{Cite book |last=Kline |first=Morris |title=Mathematical Thought from Ancient to Modern Times |publisher=Oxford University Press |year=1972 |isbn=978-0-1 ...s actually use. Students received lessons in [[set theory]], which is what mathematicians actually use to construct the set of real numbers, normally taught to advan ...