Integral, Probability, and Fractal Measures

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This book may be considered a continuation of my Springer-Verlag text Mea­ sure, Topology, and Fractal Geometry. It presupposes some elementary knowl­ edge of fractal geometry and the mathematics behind fractal geometry. Such knowledge might be obtained by study of Measure, Topology, and Fractal Ge­ ometry or by study of one of the other mathematically oriented texts (such as [13] or [87]). I hope this book will be appropriate to mathematics students at the beginning graduate level in the U.S. Most references are numbered and may be found at the end of the book; but Measure, Topology, and Fractal Geometry is referred to as [ MTFG]. One of the reviews of [MTFG] says that it "sacrific[es] breadth of coverage 1 for systematic development" -although I did not have it so clearly formulated as that in my mind at the time I was writing the book, I think that remark is exactly on target. That sacrifice has been made in this volume as well. In many cases, I do not include the most general or most complete form of a result. Sometimes I have only an example of an important development. The goal was to omit most material that is too tedious or that requires too much background.

Author(s): Gerald A. Edgar (auth.)
Edition: 1
Publisher: Springer-Verlag New York
Year: 1998

Language: English
Pages: 286
Tags: Probability Theory and Stochastic Processes; Real Functions

Front Matter....Pages i-x
Fractal Measures....Pages 1-67
Integrals....Pages 69-111
Integrals and Fractals....Pages 113-151
Probability....Pages 153-202
Probability and Fractals....Pages 203-266
Back Matter....Pages 267-286