Integral, Probability, and Fractal Measures

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Beschreibung

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.

Zusammenfassung

This book provides the mathematical background required for the study of fractal topics. It deals with integration in the modern sense and with mathematical probability. The emphasis is on the particular results that aid the discussion of fractals. The book follows on Edgar's Measure, Topology, and Fractal Geometry. With exercises throughout the text, it is ideal for beginning graduate students both in the classroom setting and for self-study.

Inhaltsverzeichnis

1. Fractal Measures.- 2. Integrals.- 3. Integrals and Fractals.- 4. Probability.- 5. Probability and Fractals.- References.- Notation.

Details

Erscheinungsjahr:	1997
Fachbereich:	Analysis
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	x 286 S. 36 s/w Illustr. 36 s/w Zeichng.
ISBN-13:	9780387982052
ISBN-10:	0387982051
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Edgar, Gerald A.
Hersteller:	Springer New York Springer US, New York, N.Y.
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 21 mm
Von/Mit:	Gerald A. Edgar
Erscheinungsdatum:	05.12.1997
Gewicht:	0,617 kg

Artikel-ID: 107106861

Zusammenfassung

Inhaltsverzeichnis

1. Fractal Measures.- 2. Integrals.- 3. Integrals and Fractals.- 4. Probability.- 5. Probability and Fractals.- References.- Notation.

Details

Erscheinungsjahr:	1997
Fachbereich:	Analysis
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	x 286 S. 36 s/w Illustr. 36 s/w Zeichng.
ISBN-13:	9780387982052
ISBN-10:	0387982051
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Edgar, Gerald A.
Hersteller:	Springer New York Springer US, New York, N.Y.
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 21 mm
Von/Mit:	Gerald A. Edgar
Erscheinungsdatum:	05.12.1997
Gewicht:	0,617 kg