Abstract
THE title of this book is rather a misnomer. As a matter of fact, the most interesting part of it is in the, last two chapters, which contain an excellent discussion of the logarithmic and exponential functions based upon the definition of log z as an integral. The preceding eight chapters deal with real and complex variables, limits, convergence of series, and the fundamental theorems of the differential and integral calculus. They are chiefly interesting as an illustration of the fact that there is a growing number of university teachers who are resolved that, if they have to teach elementary calculus, they will do it in the most rigorous way that they can, exposing the fallacies which used to be calmly ignored. There is a large number of examples, many of which show how much more attention has been given of late years in Cambridge to the elements of general function-theory. Mr. Hardy's book is more likely, to be regarded as a work on the calculus than anything else; as such, it will be a useful companion to such treatises as those of Lamb and Gibson.
A Course of Pure Mathematics.
By G. H. Hardy. Pp. xvi + 428. (Cambridge: University Press, 1908.) Price 12s. net.
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M. A Course of Pure Mathematics . Nature 80, 36 (1909). https://doi.org/10.1038/080036a0
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DOI: https://doi.org/10.1038/080036a0
