Integration in finite terms

by Joseph Fels Ritt · first published 1948

2mentions

0recommended by

2HN commenters

2026first – last mentioned

100% neutral

Affiliate links. As an Amazon Associate I earn from qualifying purchases.

Mentions per year

reikonomusha · Apr 15, 2026 · Mentions

…algebraic structure is meaningful (like Liouvillian structure theorems). See e.g. - Page 2 and the following example of https://billcookmath.com/courses/math4010-spring2016/math401... (2016) - Ritt's Integration in Finite Terms: Liouville's Theory of Elementary Methods (1948) It's not frequent that analysis books will define the class of elementary functions rigorously.
on “Not all elementary functions can be expressed with exp-minus-log” ↗
nopinsight · Jul 4, 2026 · Mentions

…Variable." Journal of Symbolic Logic, 33(4). — Differentiation is a simple recursive algorithm; deciding integrability in elementary terms is undecidable in general. [2] Risch, R. H. (1969). "The Problem of Integration in Finite Terms." Transactions of the American Mathematical Society, 139. — The partial recovery: a (semi-)decision procedure for a restricted class. [3] Guilford, J. P. (1967). The Nature of Human Intelligence. McGraw-Hill.…
on “Synthesis is harder than analysis” ↗