Ebook: Advanced Analysis: on the Real Line

- < f is increasing. The latter part of the book deals with functions of bounded variation and approximately continuous functions. Finally there is an exhaustive chapter on the generalized Cantor sets and Cantor functions. The bibliography is extensive and a great variety of exercises serves to clarify and sometimes extend the results presented in the text.

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- < f is increasing. The latter part of the book deals with functions of bounded variation and approximately continuous functions. Finally there is an exhaustive chapter on the generalized Cantor sets and Cantor functions. The bibliography is extensive and a great variety of exercises serves to clarify and sometimes extend the results presented in the text.

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- < f is increasing. The latter part of the book deals with functions of bounded variation and approximately continuous functions. Finally there is an exhaustive chapter on the generalized Cantor sets and Cantor functions. The bibliography is extensive and a great variety of exercises serves to clarify and sometimes extend the results presented in the text.
Content:
Front Matter....Pages i-ix
Preliminaries....Pages 1-18
Monotone Functions....Pages 19-36
Density and Approximate Continuity....Pages 37-54
Dini Derivatives....Pages 55-80
Approximate Derivatives....Pages 81-101
Additional Results on Derivatives....Pages 102-117
Bounded Variation....Pages 118-152
Absolute Continuity....Pages 153-180
Cantor Sets and Singular Functions....Pages 181-215
Spaces of BV and AC Functions....Pages 216-245
Metric Separability....Pages 246-252
Back Matter....Pages 253-260

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- < f is increasing. The latter part of the book deals with functions of bounded variation and approximately continuous functions. Finally there is an exhaustive chapter on the generalized Cantor sets and Cantor functions. The bibliography is extensive and a great variety of exercises serves to clarify and sometimes extend the results presented in the text.
Content:
Front Matter....Pages i-ix
Preliminaries....Pages 1-18
Monotone Functions....Pages 19-36
Density and Approximate Continuity....Pages 37-54
Dini Derivatives....Pages 55-80
Approximate Derivatives....Pages 81-101
Additional Results on Derivatives....Pages 102-117
Bounded Variation....Pages 118-152
Absolute Continuity....Pages 153-180
Cantor Sets and Singular Functions....Pages 181-215
Spaces of BV and AC Functions....Pages 216-245
Metric Separability....Pages 246-252
Back Matter....Pages 253-260
....