Editing 1690 in science (section)

==Mathematics==
* {{nihongo|Izeki Tomotoki|井関 知辰}} of [[Osaka]] publishes ''Sampo-Hakki'' (算法発揮), in which he gives the [[resultant]] and the [[Laplace expansion]] of the [[determinant]] for the ''n''×''n'' case. At about this date, {{nihongo|Tanaka Yoshizane| 田中 由真}} also describes and applies the resultant, in ''Sampo-Funkai'' (算法紛解).
* [[Michel Rolle]] publishes ''Traité d'Algebre'', in which he gives the first published description in Europe of [[Gaussian elimination]].