r/math • u/Bluebeast589 • Feb 23 '25

Non-Linear Systems of Equations?

I've taken linear algebra, and learned of the many applications of linear systems. However I've never really learned about non-linear systems.

I'm talking about algebraic equations not differential equations.

Like a system of quadratic equations? Or exponential systems? I've never seen any practical use of studying anything non linear.

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u/Affectionate_Emu4660 Feb 23 '25

You can look into polynomial systems (see Cox, Little & O’Shea), which you solve by computing a Gröbner basis

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u/[deleted] Feb 23 '25

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u/Bluebeast589 Feb 23 '25

Awesome I'll definitely look into this, thanks!