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.
Auflage
Reprint of the 1st edition Noordhoff, Groningen 1914-18, with a short biography and four commentaries,
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Researchers, mathematicians working in the fields of the
theory of orthogonal polynomials and continued fractions,
number theory and integral theory. The book is also
interesting for mathematicians who are anxious to know the
impact Stieltjes has on modern mathematics.
Editions-Typ
Illustrationen
Maße
Höhe: 216 mm
Breite: 138 mm
Gewicht
ISBN-13
978-3-540-55560-5 (9783540555605)
DOI
10.1007/978-3-642-61229-9
Schweitzer Klassifikation
Volume I.- Biographical Note.- The Impact of Stieltjes' Work on Continued Fractions and Orthogonal Polynomials.- Number Theory.- The Stieltjes Integral, the Concept that Transformed Analysis.- On the History of the Function $$ M(x)/\sqrt {x} $$ Since Stieltjes.- Ouvres Complètes · Tome I.- On a Uniform Function (Translation).- Bibliography of T. J. Stieltjes.
