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Graduate Texts in Mathematics S Axler 143 Editorial Board FW Gehring P.R Halmos Springer Science+Business Media, LLC Graduate Texts in Mathematics 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 TAKEUTI/ZARING Introduetion to Axiomatic Set Theory 2nd ed OXTOBY Measure and Category 2nd ed SCHAEFER Topological Vector Spaces HILTON/STAVIMBACH A Course in Homological Algebra 2nd ed MAC LANE Categories for the Working Mathematician HUGIIES/PIPER Projective Planes SERRE A Course in Arithmetic TAKEUTI/ZARING Axiomatic Set Thcory HUVlPHREYS Introduction to Lie Algebras and Reprcsentation Theory COHEN A Course in Simple Homotopy Theory CONWAY Functions of One Complex Variable I 2nd ed BEALS Advanced Mathematical Analysis ANDERSON/FuLLER Rings and Categories of Modules 2nd cd GOLUBITSKY/GUILl.EMIN Stable Mappings and Their Singularities BERBERIAN Lectures in Functional Analysis and Operator Theory WINTER The Structure of Fields ROSENBLATI Random Processes 2nd ed HAl.MOS Measurc Theory HALMOS A Hilben Space Problem Book 2nd cd HUSEMOLLER Fibre Bund1es 3rd ed HCMPHREYS Linear Algebraic Groups BARNES/MACK An Algebraic Introduction to Mathematical Logie GREUB Linear Algebra 4th ed HOLMES Geometrie Functional Analysis and Its Applications HEWITT/STROMBERG Real and Abstract Analysis MANES Algebraic Theories KELLEY General Topology ZARlSKilSAMUEL Commutative Algebra Vol.1 ZARISKI/SAMUEL Commutative Algcbra Vol.ll JACOBSON Lcctures in Abstract Algebra I Basic Concepts JACOBSON Lectures in Abstract Algebra 11 Linear Algebra JACOBSON Lectures in Abstract Algebra 111 Theory of Fields and Galois Theory 33 34 HIRSCH Differential Topology SPIlLER Principles of Random Walk 2nd ed 35 WERMER Banach Algebras and Several Complex Variables 2nd ed 36 KELLEY/NAVlIOKA et al Linear Topological Spaces 37 MONK Mathematical Logic 38 GRAUERT/FRITLSCHE Several Complex Variables 39 ARVESO~·i An Invitation to C*-Algebras 40 KEVlENy/SNELLIKNAPP Denumerable Markov Chains 2nd ed 41 ApOSTOL Modular Functions and Dirichlet Series in Number Theory 2nd cd 42 SERRE Linear Representations of Finite Groups 43 GILLMAN/JERISON Rings of Continuous Functions 44 KENDIG Elementary Algebraic Geometry 45 LoEvE Probability Theory I 4th ed 46 LOEVE Probability Theory 11 4th ed 47 MOISE Geometrie Topology in Dimensions and 48 SACHS/Wu General Relativity for Mathematicians 49 GRUENBERG/WEIR Linear Geometry 2nd ed 50 EDWARDS Fermat's Last Theorem 51 KUNGENBERG A Course in Differential Geometry 52 HARTSHORNE Algebraic Geometry 53 MANIN A Course in Mathematical Logic 54 GRA VERlW ATKINS Combinatorics with Emphasis on the Theory of Graphs 55 BROWN/PEARCY Introduction to Operator Theory I: Elcments of Functional Analysis 56 MASSEY Algebraic Topology: An Introduction 57 CRowEuJFox Introduction to Knot Theory 58 KOBLITL p-adic Numbers, p-adic Analysis, and Zeta-Functions 2nd ed 59 LANG Cyc1otomic Fields 60 ARNOLD Mathematical Methods in Classical Mcchanics 2nd ed continued after index IL Doob Measure Theory Springer J.L Doob 101 West Windsor Road Urbana, IL 61801 USA Editorial Board S Axler Department of Mathematics Michigan State University East Lansing, MI 48824 USA F.w Gehring P.R Halmos Department of Mathematics Santa Clara University Santa Clara, CA 95053 USA Department of Mathematics University of Michigan Ann Arbor, MI 48 \09 USA Mathematics Subject Classitication (1991 ): 28-0 I, 60A I 0, 60Bxx 60Gxx Library of Congress Cataloging-in-Publication Data Doob J L Measure theory / J L Doob p cm -