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This booklet reproduces with slight changes a course of lectures
delivered in Princeton during the Spring term 1946
It would be misleading to call it a theory of transcendental numbers,
our knowledge concerning transcendental numbers being narrowly restricted.
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.

Carl Ludwig Siegel.

April, 1949
Princeton, New Jersey.
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