Transcendental Numbers

This booklet reproduces with slight changes a course of lectures delivered in Princeton in 1946. The text deals with a few special transcendency problems of some interest, but it is more than a mere collection of scattered examples, since it involves a method which might be useful in the search of more general results.

Contents

1. The Exponential Function
2. Solutions of Linear Differential Equations
3. The Transcendency of ab for Irrational Algebraic b and Algebraic a ‡ 0, 1.
4. Elliptic Functions
Bibliography