Abstract
THE first of the courses contained in this volume deals mainly with the theory of a set of implicit functions yj, denned by a set of equations, fi = 0 (i= 1, 2, . . . n), each involving the implicit functions and also the independent variables, x1, x2, . . .xm. In its general character the treatment is similar to that invented by Cauchy; but it is noticeable how the analysis has been simplified, and the results generalised, by improvements made quite recently. In particular, attention may be directed to the elementary character of the proof (by MacMillan) of what Prof. Bliss calls the preparation theorem of Weierstrass (p. 50): other illustrations might be given of a similar kind.
The Princeton Colloquium: Lectures on Mathematics, delivered September 15 to 17, 1909, before Members of the American Mathematical Society in connection with the Summer Meeting held at Princeton University, Princeton, N.J.
By G. A. Bliss E. Kasner. Pp. iii + ii + 107 + ii + 117. (New York: American Mathematical Society, 1913.)
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M., G. The Princeton Colloquium: Lectures on Mathematics, delivered September 15 to 17, 1909, before Members of the American Mathematical Society in connection with the Summer Meeting held at Princeton University, Princeton, N.J.. Nature 93, 528 (1914). https://doi.org/10.1038/093528a0
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DOI: https://doi.org/10.1038/093528a0
