This is a new annotated edition of Thomas J. Stieltjes' Collected Papers first published in
1914 (Vol. I) and 1918 (Vol. II) by Noordhoff Groningen in French and now published by
Springer-Verlag originally to mark the occasion of the 100th anniversary of Stieltjes' death
(1894). These two volumes will be of great interest to all mathematicians who are anxious to
understand the impact of Stieltjes' work on modern mathematics and in particular on the theory
of orthogonal polynomials and continued fractions. In addition to the reproduction of
Stieltjes' papers (I-XLVII) Volume I includes about 75 pages of commentaries by contemporary
mathematicians on Stieltjes' work. Volume II contains Stieltjes' papers XLVIII-LXXXIV together
with English translations of his main paper Recherches sur les fractions continues and his
short note regarding the Riemann hypothesis. A Bibliography of Stieltjes' papers is included in
both volumes for the convenience of the reader.