Making Transcendence Transparent

Delving into transcendental number theory reveals a paradox where, despite the abundance of transcendental numbers, proving the transcendence of specific ones is challenging. This book offers an accessible exploration of classical transcendental number theory, focusing on significant results from the nineteenth and early twentieth centuries. It employs familiar mathematical techniques suitable for advanced undergraduates, making it approachable for a broad audience. The text highlights the foundational nature of classical results, including the transcendence of well-known numbers like e and π.