Levi-Civita field noun1 •A non-Archimedean ordered field whose every member a can be constructed as a formal series of the form a=∑_(q∈ℚ)a_qε^q, where a_q are real numbers, ℚ is the set of rational numbers, and ε is to be interpreted as a fixed positive infinitesimal. formsLevi-Civita fields