Dive into the captivating world of entire and meromorphic functions with this essential Universitext volume from The Bookish Owl. This introduction heavily emphasizes Nevanlinna theory, or value-distribution theory, exploring its intricate connections to analysis, algebra, geometry, differential equations, and logic. Discover unique topics not found elsewhere, including the Fourier series method, integer-valued entire functions, the Malliavin-Rubel extension of Carlson’s Theorem (the “sampling theorem”), and Tarski’s “High School Algebra Problem.” Originally based on 1963 notes and thoroughly updated for a 1993 course, this book offers a comprehensive and accessible exploration of a beautiful and fundamental area of mathematics, perfect for students and researchers seeking deep insights into function theory.