The Evanston Colloquium Lectures On Mathematics Delivered From Aug 28 to Sept
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In our eReader you can find the full English version of the book. Read The Evanston Colloquium Lectures On Mathematics Delivered From Aug 28 to Sept Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book The Evanston Colloquium Lectures On Mathematics Delivered From Aug 28 to Sept
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To quickly assess the difficulty of the text, read a short excerpt:
As to the conformal representation (Fig. 6), it can be shown that the upper half of the ^r-plane, with the points a, b, c on Fig. 6.
the real axis and \, /z, v assumed as real, is transformed for each branch of the ^-function into a triangular area abc bounded by 36 LECTURE V.
three circular arcs ; let us call such an area a circular triangle (Kreisbogendreieck). The angles at the vertices of this triangle are XTT, pir, VTT.
This, then, is the geometrical representation we have to take as our b...asis. In order to derive from it conclusions as to the nature of the transcendental functions defined by the differential equation, it will evidently be necessary to inquire what are the forms of such circular triangles in the most general case. For it is to be noticed that there is no restric- tion laid upon the values of the constants X, p, v, so that the angles of our triangle are not necessarily acute, nor even convex ; in other words, in the general case the vertices will be branch-points. The triangle itself is here to be regarded as something like an extensible and flexible membrane spread out between the circles forming the boundary.
What to read after The Evanston Colloquium Lectures On Mathematics Delivered From Aug 28 to Sept?
You can find similar books in the "Read Also" column, or choose other free books by Klein, Felix, 1849-1925 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
As to the conformal representation (Fig. 6), it can be shown that the upper half of the ^r-plane, with the points a, b, c on Fig. 6.
the real axis and \, /z, v assumed as real, is transformed for each branch of the ^-function into a triangular area abc bounded by 36 LECTURE V.
three circular arcs ; let us call such an area a circular triangle (Kreisbogendreieck). The angles at the vertices of this triangle are XTT, pir, VTT.
This, then, is the geometrical representation we have to take as our b...asis. In order to derive from it conclusions as to the nature of the transcendental functions defined by the differential equation, it will evidently be necessary to inquire what are the forms of such circular triangles in the most general case. For it is to be noticed that there is no restric- tion laid upon the values of the constants X, p, v, so that the angles of our triangle are not necessarily acute, nor even convex ; in other words, in the general case the vertices will be branch-points. The triangle itself is here to be regarded as something like an extensible and flexible membrane spread out between the circles forming the boundary.
What to read after The Evanston Colloquium Lectures On Mathematics Delivered From Aug 28 to Sept?
You can find similar books in the "Read Also" column, or choose other free books by Klein, Felix, 1849-1925 to read onlineMoreLess
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