Strange Functions in Real Analysis
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Strange Functions in Real Analysis explores a number of important examples and constructions of pathological functions. After introducing the basic concepts, the author begins with Cantor and Peano-type functions, then moves to functions whose constructions require essentially noneffective methods. Finally, he considers examples of functions whose existence cannot be established without the help of addition set-theoretical axioms. This edition includes five new chapters that provide more information on the structure of strange functions, nearly 70 new exercises that extend the discussions with...
Strange Functions in Real Analysis explores a number of important examples and constructions of pathological functions. After introducing the basic concepts, the author begins with Cantor and Peano-type functions, then moves to functions whose constructions require essentially noneffective methods. Finally, he considers examples of functions whose existence cannot be established without the help of addition set-theoretical axioms. This edition includes five new chapters that provide more information on the structure of strange functions, nearly 70 new exercises that extend the discussions within the text, and a significantly expanded list of reference that incorporates recent works.
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