Bulletin of the American Mathematical SocietyAmerican Mathematical Society., 1905 - Mathematics |
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abelian American Mathematical Society analysis Analytic geometry applications Auflage axioms BULLETIN calculus of variations chapter Cloth coefficients College complete conic contains continued fraction coördinates corresponding curves defined definition determined Differential and Integral differential equations discussion Diss E. H. Moore édition EDWARD KASNER elementary elements fessor finite FLORIAN CAJORI four hours Gauthier-Villars geodesics géométrie given group of order infinite Integral Calculus invariant L. E. DICKSON Leipzig linear homogeneous lines of curvature logical MACMILLAN COMPANY mathe mathematicians mathématiques matical mechanics meeting method paper Paris physics plane postulates present problem Professor G. A. Professor of Mathematics projective geometry proof published quadratic quaternions quotient group Read relations Seminar solution space student subgroups of order substitutions surfaces technical school Teubner text-books theorem theory of functions three hours tion Transactions transformation Ueber University variables vector volume York
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Page 64 - Pure mathematics is the class of all propositions of the form 'p implies q,' where p and q are propositions containing one or more variables, the same in the two propositions, and neither p nor q contains any constants except logical constants.
Page 510 - Society shall be passed upon in advance of the meeting by a programme committee appointed by or under the authority of the Council; and only such papers shall be presented as shall have been approved by such committee. Papers in form unsuitable for publication, if accepted for presentation, shall be referred to on the programme as preliminary communications or reports. VI. 1. The order of business at the meetings of the Society shall be as follows : 1. Reading of the minutes. 2. Recommendations and...
Page 433 - Particular attention given to the work of Schools, Colleges, Universities, and Public Institutions. Books, Periodicals Technical and Scientific Publications Monographs, Theses, Catalogues Announcements, Reports, etc. All Kinds of Commercial Work...
Page 18 - But I do not so much desire to call your attention to the diversity of the applications of multiple algebra, as to the simplicity and unity of its principles. The student of multiple algebra suddenly finds himself freed from various restrictions to which he has been accustomed. To many, doubtless, this liberty seems like an invitation to license. Here is a boundless field in which caprice may riot. It is not strange if some look with distrust for the result of such an experiment. But the farther...
Page 197 - The council announced the election of the following persons to membership in the society: Professor CFF Garis, Union College; Professor FJ Holder, University of Pittsburgh; Dr.
Page 111 - 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.
Page 92 - ... in order to reach a satisfactory conclusion as to what really characterizes mathematics, one of two methods is open to us. On the one hand we may seek some hidden resemblance in the various objects of mathematical investigation, and having found an aspect common to them all we may fix on this as the one true object of mathematical study. Or, on the other hand, we may abandon the attempt to characterize mathematics by means of its objects of study, and seek in its methods its distinguishing characteristic.
Page 371 - Surfaces With the Same Spherical Representation of Their Lines of Curvature as Spherical Surfaces...
Page 11 - The student who has read nothing but what was suggested in lectures is not likely to pass out with "full wishes and praise, " as the highest grade is called, nor will the most favorable opportunities probably be waiting for him in future; still he has the highest degree which the university confers. The dissertations, as is natural, present great variation in value and originality. The candidate is required to publish a full re'sume...
Page 64 - Mathematics is the class of all propositions of the form "p implies q" where p and q are propositions containing one or more variables, the same in the two propositions, and neither p nor q contains any constants except logical constants. And logical constants are all notions definable in terms of the following : Implication, the relation of a term to a class of which it is a member, the notion of such that, the notion of relation, and such further notions as may be involved in the general notion...