Making Transcendence Transparent

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Delving into transcendental number theory, the book explores the paradox of these elusive numbers, which are abundant yet difficult to prove as transcendental. It focuses on classical results from the nineteenth and early twentieth centuries, making the content accessible to advanced undergraduate students. By examining foundational techniques and ideas, the text reveals the transcendence of notable numbers like e, π, and √2. This approach combines rigorous analysis with the beauty of the underlying concepts, inviting readers to engage with the complexities of transcendental numbers.