This book, "A Primer of Real Analytic Functions," is part of the "Basler Lehrbücher" series, edited by Herbert Amann and Hanspeter Kraft. Authored by Steven G. Krantz and Harold R. Parks, it provides a comprehensive introduction to the theory of real analytic functions. The book is divided into several chapters covering elementary properties, classical topics, hard analysis, results motivated by partial differential equations, and geometric topics. It aims to serve as a detailed and accessible guide, filling gaps in the literature and providing thorough but concise treatments of various advanced topics. The authors acknowledge the contributions of several mathematicians and express gratitude for their helpful comments and suggestions. The book includes a bibliography and an index, making it a valuable resource for students and researchers in mathematics.This book, "A Primer of Real Analytic Functions," is part of the "Basler Lehrbücher" series, edited by Herbert Amann and Hanspeter Kraft. Authored by Steven G. Krantz and Harold R. Parks, it provides a comprehensive introduction to the theory of real analytic functions. The book is divided into several chapters covering elementary properties, classical topics, hard analysis, results motivated by partial differential equations, and geometric topics. It aims to serve as a detailed and accessible guide, filling gaps in the literature and providing thorough but concise treatments of various advanced topics. The authors acknowledge the contributions of several mathematicians and express gratitude for their helpful comments and suggestions. The book includes a bibliography and an index, making it a valuable resource for students and researchers in mathematics.