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This textbook presents a direct path from real analysis of one variable to function theory. Classical topics of one-dimensional real analysis, such as differential and integral calculus, are largely presented from a complex perspective. The goal is a self-contained exposition extending to the Runge theorems and the dynamics of entire functions. Short sections appended to each chapter on concepts of function theory provide glimpses into higher-dimensional analysis and an impression of its universal significance for mathematics. The book is structured so that parts can also serve as a basis for a seminar. Preface. Game Rules: Sets, Mappings, Numbers. Basis: Limits, Elementary Functions and Metric Spaces. Up and Down: Differentiation and Integration. Magic Circles: Circular Functions and Local Complex Analysis. Wonder Worlds: Global Complex Analysis. Normal or Not: Conformal Mappings and Complex Dynamics. Extras: Runge’s Theory and Applications