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As it currently stands, the article does not define nonlinear algebra at all. It just describes it as a nonlinear generalization of linear algebra, states related fields, and mentions computational techniques.

Can anyone write an actual definition in? @ TakuyaMurata: @ Ofloveandhate: — MarkH21 ( talk) 06:03, 20 July 2019 (UTC) reply

Related discussion at Wikipedia_talk:WikiProject_Mathematics#"Nonlinear_algebra" jraimbau ( talk) 12:08, 5 January 2022 (UTC) reply

I have never heard the term "non-linear algebra" until now. The text makes it sound like algebraic geometry (which "polynomial algebra"). My guess is that the term "non-linear algebra" is original research. Some options for this page include redirecting to Algebraic geometry, disambiguating (but mainly to algebraic geometry?), and outright deletion. Mgnbar ( talk) 13:18, 5 January 2022 (UTC) reply

In the parallel discussion at the WikiProject, editors have found texts using this term. So I retract my comment. But MarkH21's point stands, that this article needs massive clarification and improvement from people who know this topic. Mgnbar ( talk) 16:49, 7 January 2022 (UTC) reply

The item 'Nonlinear Algebra' is not part of contemporary mathematical terminology. There is no entry in the Mathematical Subject Classification MSC 2020, which is sponsored, among others, by the American Mathematical Society. This article may lead to confusion and I recommend deletion. 46.183.103.8 ( talk) 07:12, 4 August 2022 (UTC) reply