Abstract
THIS little book deals with the practical applications of exponential and hyperbolic functions as required in engineering, physics, etc. Only an elementary knowledge of trigonometry and calculus is assumed. The treatment, whilst not rigorous, is carefully thought out and written. There is, however, a grave danger in not warning the student sufficiently of the necessity of justifying certain operations. Even in subordinating rigour to practical utility, it is nevertheless essential to point out clearly what assumptions have been made and to state that the validity of such assumptions requires further investigation. Especially is this necessary in dealing with series. Yet, on pp. 46–50 it is assumed, without comment, that a circular function is expressible in a valid series, and that the process of differentiation may afterwards be applied to the supposed identity.
The Exponential and Hyperbolic Functions and their Applications: a Practical Book for the General Student and Engineer.
By A. H. Bell. (Technical School Series.) Pp. x + 82. (London: Sir Isaac Pitman and Sons, Ltd., 1932.) 3s. 6d. net.
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Mathematical and Physical Sciences. Nature 131, 319 (1933). https://doi.org/10.1038/131319b0
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DOI: https://doi.org/10.1038/131319b0