Transcendental numbers

Includes bibliography (p. 101-102) and references

1 The Exponential Function
2 Solutions of Linear Differential Equations
3 The Transcendency of abab for Irrational Algebraic bb and Algebraic a≠0,1a=0,1
4 Elliptic Functions

It is a concise yet rigorous exploration of transcendental number theory. The book discusses fundamental concepts like the exponential function, linear differential equations, and the transcendence of certain algebraic expressions. It also delves into the role of elliptic functions in number theory. Siegel presents key proofs and techniques that have shaped modern transcendental number theory. This book is ideal for mathematicians and advanced students interested in algebraic and analytic number theory.