The first volume of Polya's papers deals with singular points of
analytic functions and with other broadly related topics, such as
conformal mappings, entire functions, and the rate of growth of
analytic functions. The papers are arranged in chronological order,
but the editor, in his introduction, shows that they fall into four
main sets of topics.The first is concerned with properties of a
function (in particular, the location and nature of its singular
points) as deduced from the properties of the coefficients in its
power series.A second set deals with a closely related problem:
connections between global properties of a function and its values
at an isolated set of points. Analytic functions, especially entire
functions, are the subject of a third set of papers, and a final
set of six investigates problems in conformal mapping.
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