The Mathematical Theory of the Top. Lectures Delivered On the Occasion of the Sesquicentennial Celebration of Princeton
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In our eReader you can find the full English version of the book. Read The Mathematical Theory of the Top. Lectures Delivered On the Occasion of the Sesquicentennial Celebration of Princeton 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 Mathematical Theory of the Top. Lectures Delivered On the Occasion of the Sesquicentennial Celebration of Princeton
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We have before us an illustration of the value of transcendental curves. It is only in the very exceptional case when the multiplicative factor k = 1 , and ipa is com- mensurable with TT, that the curves we have been studying become algebraic.
To sum up the conclusions which we have thus far established ; we have proved that the motion of 42 MOTION OF THE TOP the spherical top on a fixed point of support may be completely clefuied geometrically in terms of elliptic curves of the first degree. W...e have also shown that the variation of the parameters a, /?, y, 8 with the time t may be pictured by curves of the same character.
Let us now resume the study of the curve traced by the apex of the top.
The parameters a, /?, y, 8, and ^ are all elliptic functions of the argument t, and the full meaning of elliptic functions comes to light only w^lien the argument is supposed capable of taking complex values. Thus only, in particular, will the double periodicity of the functions come into evidence.
What to read after The Mathematical Theory of the Top. Lectures Delivered On the Occasion of the Sesquicentennial Celebration of Princeton?
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:
We have before us an illustration of the value of transcendental curves. It is only in the very exceptional case when the multiplicative factor k = 1 , and ipa is com- mensurable with TT, that the curves we have been studying become algebraic.
To sum up the conclusions which we have thus far established ; we have proved that the motion of 42 MOTION OF THE TOP the spherical top on a fixed point of support may be completely clefuied geometrically in terms of elliptic curves of the first degree. W...e have also shown that the variation of the parameters a, /?, y, 8 with the time t may be pictured by curves of the same character.
Let us now resume the study of the curve traced by the apex of the top.
The parameters a, /?, y, 8, and ^ are all elliptic functions of the argument t, and the full meaning of elliptic functions comes to light only w^lien the argument is supposed capable of taking complex values. Thus only, in particular, will the double periodicity of the functions come into evidence.
What to read after The Mathematical Theory of the Top. Lectures Delivered On the Occasion of the Sesquicentennial Celebration of Princeton?
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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