The Elements of Integration and Lebesgue MeasureISBN: 9780471042228
192 pages
February 1995

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Methods of Representation Theory with Applications to Finite Groups
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Sample Design in Business Research Amos de Shalit & Herman
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Spectral Theory—Self Adjoint Operators in Hilbert Space Nelson
Dunford & Jacob T. Schwartz Linear Operators, Part Three,
Spectral Operators Herman Feshbach Theoretical Nuclear Physics:
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Harris Principles of Algebraic Geometry Gerald J. Hahn & Samuel
S. Shapiro Statistical Models in Engineering Morris H. Hansen,
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William N. Hurwitz & William G. Madow Sample Survey Methods and
Theory, Volume II—Theory Peter Henrici Applied and
Computational Complex Analysis, Volume 1—Power
Series—Integration—Conformal Mapping—Location of
Zeros Peter Henrici Applied and Computational Complex Analysis,
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Applied and Computational Complex Analysis, Volume 3—Discrete
Fourier Analysis—Cauchy Integrals—Construction of
Conformal Maps—Univalent Functions Peter Hilton &
YelChiang Wu A Course in Modern Algebra Harry Hochstadt Integral
Equations Erwin O. Kreyszig Introductory Functional Analysis with
Applications William H. Louisell Quantum Statistical Properties of
Radiation Ali Hasan Nayfeh Introduction to Perturbation Techniques
Emanuel Parzen Modern Probability Theory and Its Applications P. M.
Prenter Splines and Variational Methods Walter Rudin Fourier
Analysis on Groups C. L. Siegel Topics in Complex Function Theory,
Volume I—Elliptic Functions and Uniformization Theory C. L.
Siegel Topics in Complex Function Theory, Volume
II—Automorphic and Abelian Integrals C. L. Siegel Topics in
Complex Function Theory, Volume III—Abelian Functions &
Modular Functions of Several Variables J. J. Stoker Differential
Geometry J. J. Stoker Water Waves: The Mathematical Theory with
Applications J. J. Stoker Nonlinear Vibrations in Mechanical and
Electrical Systems
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Table of Contents
THE ELEMENTS OF INTEGRATION.
Measurable Functions.
Measures.
The Integral.
Integrable Functions.
The Lebesgue Spaces Lp.
Modes of Convergence.
Decomposition of Measures.
Generation of Measures.
Product Measures.
THE ELEMENTS OF LEBESGUE MEASURE.
Volumes of Cells and Intervals.
The Outer Measure.
Measurable Sets.
Examples of Measurable Sets.
Approximation of Measurable Sets.
Additivity and Nonadditivity.
Nonmeasurable and NonBorel Sets.
References.
Index.
Measurable Functions.
Measures.
The Integral.
Integrable Functions.
The Lebesgue Spaces Lp.
Modes of Convergence.
Decomposition of Measures.
Generation of Measures.
Product Measures.
THE ELEMENTS OF LEBESGUE MEASURE.
Volumes of Cells and Intervals.
The Outer Measure.
Measurable Sets.
Examples of Measurable Sets.
Approximation of Measurable Sets.
Additivity and Nonadditivity.
Nonmeasurable and NonBorel Sets.
References.
Index.
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