J. L. Doob

Measure Theory (eBook, PDF)

• Format: PDF

Produktbeschreibung

This text is unique in accepting probability theory as an essential part of measure theory. Therefore, many examples are taken from probability, and probabilistic concepts such as independence and Markov processes are integrated into the text. Also, more attention than usual is paid to the role of algebras, and the metric defining the distance between sets as the measure of their symmetric difference is exploited more than is customary.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 212
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461208778
• Artikelnr.: 43986830

Inhaltsangabe

0. Conventions and Notation.- I. Operations on Sets.- II. Classes of Subsets of a Space.- III. Set Functions.- IV. Measure Spaces.- V. Measurable Functions.- VI. Integration.- VII. Hilbert Space.- VIII. Convergence of Measure Sequences.- IX. Signed Measures.- X. Measures and Functions of Bounded Variation on R.- XI. Conditional Expectations ; Martingale Theory.- Notation.