Mathematical Papers Read at the International Mathematical Congress: Held in Connection with the World's Columbian Exposition, Chicago, 1893Eliakim Hastings Moore, Oskar Bolza, Heinrich Maschke, Henry Seely White |
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Held in Connection with the World's Columbian Exposition, Chicago, 1893 Eliakim Hastings Moore, Oskar Bolza, Heinrich Maschke, Henry Seely White. AL LIBRARY UNIVERSITY OF CALIFORNIA DAVIS 1922 1922 MATHEMATICAL PAPERS READ. Front Cover.
Held in Connection with the World's Columbian Exposition, Chicago, 1893 Eliakim Hastings Moore, Oskar Bolza, Heinrich Maschke, Henry Seely White. AL LIBRARY UNIVERSITY OF CALIFORNIA DAVIS 1922 1922 MATHEMATICAL PAPERS READ. Front Cover.
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... World's Columbian Exposition, Chicago, 1893 Eliakim Hastings Moore, Oskar Bolza, Heinrich Maschke, Henry Seely White. LIBRARY UNIVERSITY OF CALIFORNIA DAVIS 1922 1922 MATHEMATICAL PAPERS READ AT THE INTERNATIONAL MATHEMATICAL CONGRESS.
... World's Columbian Exposition, Chicago, 1893 Eliakim Hastings Moore, Oskar Bolza, Heinrich Maschke, Henry Seely White. LIBRARY UNIVERSITY OF CALIFORNIA DAVIS 1922 1922 MATHEMATICAL PAPERS READ AT THE INTERNATIONAL MATHEMATICAL CONGRESS.
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... Columbian Exposition, Chicago, 1893 Eliakim Hastings Moore, Oskar Bolza, Heinrich Maschke, Henry Seely White. Cambridge : PRINTED BY J. AND C. F. CLAY , AT THE UNIVERSITY PRESS . Society . Vol . I. MATHEMATICAL PAPERS READ AT THE.
... Columbian Exposition, Chicago, 1893 Eliakim Hastings Moore, Oskar Bolza, Heinrich Maschke, Henry Seely White. Cambridge : PRINTED BY J. AND C. F. CLAY , AT THE UNIVERSITY PRESS . Society . Vol . I. MATHEMATICAL PAPERS READ AT THE.
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... . WHITE NEW YORK MACMILLAN AND CO . FOR THE AMERICAN MATHEMATICAL SOCIETY 1896 LIBRARY UNIVERSITY OF CALIFORNIA DAVIS PREFACE . THE HE Mathematical Congress of the World's Columbian Papers Published by the American Mathematical.
... . WHITE NEW YORK MACMILLAN AND CO . FOR THE AMERICAN MATHEMATICAL SOCIETY 1896 LIBRARY UNIVERSITY OF CALIFORNIA DAVIS PREFACE . THE HE Mathematical Congress of the World's Columbian Papers Published by the American Mathematical.
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... University , President H. T. Eddy of Rose Polytechnic Institute , and Professor O. Bolza of the University of Chicago . Upon their nomination the following officers were elected unanimously : President , Professor W. E. STORY of Clark ...
... University , President H. T. Eddy of Rose Polytechnic Institute , and Professor O. Bolza of the University of Chicago . Upon their nomination the following officers were elected unanimously : President , Professor W. E. STORY of Clark ...
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Common terms and phrases
A₁ algebraischen allgemeinen Annalen B₁ belong C₁ canonical canonical system case Cayley's cercle Clark University Coefficienten complexer Zahlen conjugate construction Convergenz coordonnées Curven denote Determinante deux Differential Differentialgleichungen Differentialquotienten Divergenz divisor droite elliptic endliche equation ersten factor FELIX KLEIN field fifth power first flexure following Form formule Functionen ganzzahligen geometrische GF q girder given Gleichung graphical Grössen group Gruppe integral integral function Invarianten irreducible isoplèthes Kegelschnitt l'équation l'on linear transformation m₁ marks Math mathematischen Methode Molekel numbers order orthogonal orthogonal substitution OSKAR BOLZA P₁ paper Parameter peut Ph.D point positive professor of mathematics Punkte quantities Quaternionen reellen Reihe relation roots Satz second self-conjugate simple simplicité sn² solution square substitution Systeme t₁ take terms Tetraeders Theorie transformation continue triangle University unserer Untersuchungen v₁ valeurs values variables Werthe y₁ α₁
Popular passages
Page 351 - Thetafunctionen in den Vordergrund getreten ist. Im umgekehrten Falle würde es sich vermuthlich gerade umgekehrt verhalten haben, während wir doch froh sein dürfen, dass für die Erfordernisse der Theorie, wie der Praxis, dem Mathematiker nach doppelter Richtung so interessante Functionen zu Gebote stehen.
Page 135 - I may be pardoned if I characterise the tendency that has been outlined in these remarks as a return to the general Gaussian programme. A distinction between the present and the earlier period lies evidently in this : that what was formerly begun by a single master-mind, we now must seek to accomplish by united efforts and cooperation.
Page 135 - ... the professional mathematician finds here much to be learned. Hill's researches involve indeed, — a fact not yet sufficiently recognised, — a distinct advance upon the current theory of linear differential equations. To be more precise, the interest centres in the representation of the integrals of a differential equation in the vicinity of an essentially singular point. Hill furnishes a practical solution of this problem by the aid of an instrument new to mathematical analysis, — the admissibility...
Page 124 - ... kritische. Was die Theorie der algebraischen Invarianten anbetrifft so sind die ersten Begründer derselben, Cayley und Sylvester, zugleich auch als die Vertreter der naiven Periode anzusehen: an der Aufstellung der einfachsten Invariantenbildungen und an den eleganten Anwendungen auf die Auflösung der Gleichungen der ersten 4 Grade hatten sie die unmittelbare Freude der ersten Entdeckung.
Page 210 - The most familiar instance of such a field of order s = q = a prime is the system of q incongruous classes (modulo q) of rational integral numbers a. Galois discovered an important generalization* of the preceding...
Page 134 - Group, which just now stands in the foreground of mathematical progress. Proceeding from this idea of groups, we learn more and more to coordinate different mathematical sciences. So, for example, geometry and the theory of numbers, which long seemed to represent antagonistic tendencies, no longer form an antithesis, but have come in many ways to appear as different aspects of one and the same theory. This unifying tendency, originally purely theoretical, comes inevitably to extend to the applications...
Page 134 - ... and the proposal has often been made that, at least for purpose of instruction, all results be formulated from the same standpoints äs in the earlier period. Such conditions were unquestionably to be regretted. This is a picture of the past. I wish on the present occasion to state and to emphasize that in the last two decades a marked improvement from within has asserted itself in our science, with constantly increasing success. The matter has been found simpler than was at first believed. It...
Page 243 - Wort ,Arithmetik' nicht in dem üblichen beschränkten Sinne zu verstehen, sondern es sind alle mathematischen Disciplinen mit Ausnahme der Geometrie und Mechanik, also namentlich die Algebra und Analysis, mit darunter zu begreifen. Und ich glaube auch...
Page 133 - I have also the honour to lay before you a considerable number of mathematical papers, which give collectively a fairly complete account of contemporaneous mathematical activity in Germany. Reserving for the mathematical section a detailed summary of these papers, I mention here only certain points of more general interest. When we contemplate the development of mathematics in this nineteenth Century, we find something similar to what has taken place in other sciences. The famous investigators of...
Page 135 - Schonflies has thus treated the subject in a text-book (1891) while in the present paper he discusses the details of the historical development. In the second place, I will mention a paper which has more immediate interest for astronomers, namely, a resume by Dr. Burkhardt of " The Relations Between Astronomical Problems and the Theory of Linear Differential Equations.