The Exponential World (2105.05809v1)

Abstract: In this book there will be found an introduction to transcendental number theory, starting at the beginning and ending at the frontiers. The emphasis is on the conceptual aspects of the subject, thus the effective theory has been more or less completely ignored, as has been the theory of $E$-functions and $G$-functions. Still, a fair amount of ground is covered and while I take certain results without proof, this is done primarily so as not to get bogged down in technicalities, otherwise the exposition is detailed and little is left to the reader.