Mathematics and Astronomy

Abstract

THE second edition of Prof. Titchmarsh's “Theory of Functions” has been produced photographically from amended sheets of the first, with the transfer of the main account of the gamma function to the chapter on analytic continuation and the insertion at the end of the chapter on integral functions of two theorems on asymptotic values and an introduction to the theory of meromorphic functions which will send the reader eagerly to Novanlinna. The list of memoirs consulted is unchanged; the list of books recommended is of a more useful kind than in the first edition, but in an epoch when every weakening of international bonds is to be deplored, we regret that anyone should decide to restrict such a list so far as possible to works in English; the result in this case is that whereas in 1932 a total of 25 titles was composod of 10 in English, 11 in French, 7 in German, and a translation, in 1939 a total of 24 titles includes 19 in English and two translations.

The Theory of Functions

By Prof. E. C. Titchmarsh. Second edition. Pp. x + 454. (London: Oxford University Press, 1939.) 25s. net.