TY - BOOK ID - 21498483 TI - Integral, probability, and fractal measures PY - 1998 SN - 0387982051 1441931120 1475729588 PB - New York (N.Y.): Springer DB - UniCat KW - Measure theory. Mathematical integration KW - Fractals. KW - Measure theory. KW - Probability measures. KW - Fractales KW - Mesure, Théorie de la KW - Mesures de probabilités KW - 517.987 KW - Measures. Representations of Boolean algebras. Metric theory of dynamic systems KW - 517.987 Measures. Representations of Boolean algebras. Metric theory of dynamic systems KW - Mesure, Théorie de la KW - Mesures de probabilités KW - Fractals KW - Measure theory KW - Probability measures KW - Measures, Normalized KW - Measures, Probability KW - Normalized measures KW - Distribution (Probability theory) KW - Lebesgue measure KW - Measurable sets KW - Measure of a set KW - Algebraic topology KW - Integrals, Generalized KW - Measure algebras KW - Rings (Algebra) KW - Fractal geometry KW - Fractal sets KW - Geometry, Fractal KW - Sets, Fractal KW - Sets of fractional dimension KW - Dimension theory (Topology) KW - Differential geometry. Global analysis KW - Geometric measure theory KW - Mesure géométrique, Théorie de la KW - Fractales. KW - Geometric probabilities. KW - Probabilités géométriques. KW - Probabilities. KW - Functions of real variables. KW - Probability Theory and Stochastic Processes. KW - Real Functions. KW - Real variables KW - Functions of complex variables KW - Probability KW - Statistical inference KW - Combinations KW - Mathematics KW - Chance KW - Least squares KW - Mathematical statistics KW - Risk KW - Mesure géométrique, Théorie de la KW - Probabilités géométriques. UR - https://www.unicat.be/uniCat?func=search&query=sysid:21498483 AB - 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. ER -