Theory of Functions of a Complex Variable

Abstract

TO anyone interested in the progress of British science the appearance of a third edition of this spacious volume, well-nigh two hundred pages longer than the first edition, must be a very welcome event. All those who know the conspicuous services which the author has rendered to mathematical learning will wish to congratulate him. And those who have known the stimulus of personal contact with him, who can recognise, beneath the happy diction with which the book is everywhere written, the sympathetic teacher, always able and willing to realise the learner's point of view, but eager to inform with a wealth of detail that is truly wonderful, will remember and be grateful. For the book stands between a time when, largely by the exigencies of a certain examination, a proof was soundest if it involved a considerable piece of algebra, and a time when the youngest student can prove anything by a judicious arrangement of arrow-heads. And the multiplicity of its content, who shall describe? Nor is it possible to say that it is too long if it be remarked that the index contains, for example, neither the entry “aggregate” nor the entry “enumerable.”

Theory of Functions of a Complex Variable.

By Prof. A. R. Forsyth. Third edition. Pp. xxiv + 855. (Cambridge: At the University Press, 1918.) Price 30s. net. (First edition, 1893, pp. xxii + 682; second edition, 1900, pp. xxiv + 782.).