The reviewer is aware... he has given an imperfect account of this remarkable book. That Klein's researches constitute a splendid advance in dynamics… - Carl Barus

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The reviewer is aware... he has given an imperfect account of this remarkable book. That Klein's researches constitute a splendid advance in dynamics of the rotation of a rigid body there can be no question. One cannot but hope that the outline given in these Princeton lectures may soon be expanded and put in shape more easily assimilated by persons more moderately versed in the theory of elliptic functions.

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About Carl Barus

(February 19, 1856 – September 20, 1935) was an American physicist and the maternal great-uncle of the American novelist Kurt Vonnegut. He was dean of the Brown University Graduate Department from 1903 until his retirement in 1926. In 1905 he became a corresponding member of Britain, a member of the First International Congress of Radiology and Electricity at Brussels, and a member of the Physical Society. Beginning in 1906 he was on the advisory board of physics at the Carnegie Institution in Washington state. He died in Providence, Rhode Island, U.S.A.

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[F]ew important steps in dynamical geology will be made until the methods for the accurate measurement of high temperatures and high pressures have not only been perfected but rendered easily available. On the basis of this conviction the present memoir on high temperatures has been prepared... [I]f the investigation be of any fullness, it is almost essential that the observer master the component parts of his research separately; and not until he has satisfactorily done this can he apply them conjointly.

In even greater measure is this true of the top. The top has been everybody's toy and must, therefore, at one time or another have piqued everybody's curiosity. Lagrange, Poinsot, Jacobi, not to mention other great names, have in turn paid their tribute; yet the top may be set spinning to-day, unhampered by a completed theory to account for its evolutions.

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Turning to Klein's little book, one is astonished in finding the most general aspects of the subject treated almost without computation and in so little space. ...It would have cost little to give the expanded form of the σ-function. ...Weierstrass's original notation was in terms of Abelian functions. The tremendous development of s is out of proportion with their application to natural phenomena. Meeting them rarely one forgets them. Memory peters out like the infinite series of a ζ-function.

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