STRANGE FUNCTIONS IN REAL ANALYSIS

Features •Demonstrates the usefulness of pathological functions in various questions of real analysis •Examines the importance of such functions in the process of developing basic concepts of mathematical analysis Reveals the close and profound connections of pathological (paradoxical) functions with logical and set-theoretic foundations of mathematical analysis •Features many challenging exercises in the text that contain valuable information of the topics covered in the book Summary Strange Functions in Real Analysis, Third Edition differs from the previous editions in that it includes five new chapters as well as two appendices. More importantly, the entire text has been revised and contains more detailed explanations of the presented material. In doing so, the book explores several important examples and constructions of pathological functions. After introducing basic concepts, the author begins with Cantor and Peano-type functions, then moves effortlessly to functions whose const