This is a new, annotated edition of Thomas J. Stieltjes' Collected Papers, published earlier in 1914 (Vol. I) and 1918 (Vol. II) by Noordhoff, Groningen, in French. This new edition is published in two volumes on the occasion of the 100th anniversary of Stieltjes' death (1894). Besides the reproduction of Stieltjes' papers, the new edition contains a short biography and about 75 pages of commentaries by important mathematicians who are discussing the impact of Stieltjes' work on the development of the theory of orthogonal polynomials and continued fractions. In particular, Stieltjes' claim to have proven the Riemann hypothesis is discussed. The work is especially of interest for those mathematicians working in the above fields, but also for others who are anxious to know about the impact of Stieltjes on modern mathematics. It is incredible to see the achievements of Stieltjes who died so early, at the age of 38. One meets an extraordinary genius, who worked at the frontiers of knowledge. He lived in Leiden and later he emigrated (mainly through his intesive contacts with C. Hermite) to Toulouse where he became "professeur de calcul differentiel et integral" at the Faculty of Sciences. An English translation of his main paper "Recherches sur les fractions continues" is included in the present new edition.
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Text: French, Dutch, English, German
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New York, Nieuw Arch, Von Sterneck, Van Vleck, Reine Angew, Acta Math, Thomas Jan Stieltjes, Lecture Notes, Cambridge University Press, Mathematische Annalen, Royale Polytechnique, Soc Holl New!
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New York, Nieuw Arch, Von Sterneck, Van Vleck, Reine Angew, Acta Math, Thomas Jan Stieltjes, Lecture Notes, Cambridge University Press, Mathematische Annalen, Royale Polytechnique, Soc Holl New!
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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
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This book cites 13
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- Random Matrices, Volume 142, Third Edition (Pure and Applied Mathematics) by Madan Lal Mehta on page 16, and page 34
- Analytic Theory of Continued Fractions (AMS Chelsea Publishing) by Hubert Stanley Wall on page 37
- Orthogonal Polynomials (Memoirs of the American Mathematical Society ; no. 213) by Paul G. Nevai on page 35
- An Introduction to the Theory of Numbers (Oxford Science Publications) by G. H. Hardy on page 78
- New York (Land of Liberty) by Ellen Sturm on page 34
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