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" It is indeed a strange vicissitude of our science that these series, which early in the century were supposed to be banished once and for all from rigorous mathematics, should at its close be knocking at the door for readmission. "
Bulletin of the American Mathematical Society - Page 111
by American Mathematical Society - 1905
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Congress of Arts and Science: Universal Exposition, St. Louis, 1904, Volume 1

Howard Jason Rogers - Art and science - 1905 - 652 pages
...to the second. Another line of investigation relates to the work of Poincaré, Borel, Fadé, et al., on divergent series. It is, indeed, a strange vicissitude...functions, beginning with Weierstrass, Laguerre, and Poincaré. Algebraic Functions and their Integrals A branch of the theory of functions has been developed...
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Congress of Arts and Science: History of the Congress. Scientific plan of ...

Howard Jason Rogers - Art and science - 1905 - 654 pages
...to the second. Another line of investigation relates to the work of Poincare', Borel, Pade', et al., on divergent series. It is, indeed, a strange vicissitude...mathematics should at its close be knocking at the door for rcadmission. Let us finally note an important series of memoirs on integral transcendental functions,...
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Memorabilia Mathematica; Or, The Philomath's Quotation-book

Robert Édouard Moritz - Mathematics - 1914 - 434 pages
...1882-1889), Vol. 3, p. 249. 1937. It is a strange vicissitude of our science that these [divergent] series which early in the century were supposed to...its close be knocking at the door for readmission. — PIERPONT, J. Congress of Arts and Sciences (Boston and New York, 1905), Vol. 1, p. 476. 1938. Zeno...
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Memorabilia Mathematica; Or, The Philomath's Quotation-book

Robert Édouard Moritz - Mathematics - 1914 - 436 pages
...249. 1937. It is a strange vicissitude of our science that these [divergent] series which early hi the century were supposed to be banished once and...its close be knocking at the door for readmission. — PIERPONT, J. Congress of Arts and Sciences (Boston arid New York, 1905), Vol. 1, p. 476. 1938....
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History and Synopsis of the Theory of Summable Infinite Processes

Lloyd Leroy Smail - Processes, Infinite - 1925 - 192 pages
...conditions under which divergent series may be legitimately employed. As Professor Pierpont has remarked: "It is, indeed, a strange vicissitude of our science...its close be knocking at the door for readmission." The development of the theory of divergent series has followed two principal directions, resulting...
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Host bibliographic record for boundwith item barcode 89094307261

1926 - 912 pages
...conditions under which divergent series may be legitimately employed. As Professor Pierpont has remarked: "It is, indeed, a strange vicissitude of our science...its close be knocking at the door for readmission." The development of the theory of divergent series has followed two principal directions, resulting...
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Mathematical Thought From Ancient to Modern Times: Volume 3

Morris Kline - Mathematics - 1990 - 452 pages
...indeed a strange vicissitude of our science that those series which early in the century were supptised to be banished once and for all from rigorous mathematics...its close, be knocking at the door for readmission. JAMES PIERPONT The series is divergent; therefore we may be able to do something with it. OLIVER HEAVISIDE...
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The Way It Was: Mathematics from the Early Years of the Bulletin

Donald Saari - Mathematics - 2003 - 336 pages
...yet obtained relating to the second. Another line of investigation relates to the work of Poincare, Borel, Stieltjes, and others on divergent series....beginning with Weierstrass, Laguerre, and Poincare. Algebraic Functions and Their Integrals. A branch of the theory of functions has been deveJoped to...
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