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The Elements of Integration and Lebesgue Measure Robert G. Bartle

The Elements of Integration and Lebesgue Measure By Robert G. Bartle

The Elements of Integration and Lebesgue Measure by Robert G. Bartle


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Summary

Designed to present the chief results of the Lebesgue theory of integration, this textbook provides students with detailed coverage of the main ideas of the Lebesgue measure. The approach is particularly well suited for students of analysis, probability and statistics.

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The Elements of Integration and Lebesgue Measure Summary

The Elements of Integration and Lebesgue Measure by Robert G. Bartle

The Wiley Classics Library consists of selected books that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: T. W. Anderson The Statistical Analysis of Time Series T. S. Arthanari & Yadolah Dodge Mathematical Programming in Statistics Emil Artin Geometric Algebra Norman T. J. Bailey The Elements of Stochastic Processes with Applications to the Natural Sciences Robert G. Bartle The Elements of Integration and Lebesgue Measure George E. P. Box & George C. Tiao Bayesian Inference in Statistical Analysis R. W. Carter Simple Groups of Lie Type William G. Cochran & Gertrude M. Cox Experimental Designs, Second Edition Richard Courant Differential and Integral Calculus, Volume I Richard Courant Differential and Integral Calculus, Volume II Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume I Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume II D. R. Cox Planning of Experiments Harold M. S. Coxeter Introduction to Modern Geometry, Second Edition Charles W. Curtis & Irving Reiner Representation Theory of Finite Groups and Associative Algebras Charles W. Curtis & Irving Reiner Methods of Representation Theory with Applications to Finite Groups and Orders, Volume I Charles W. Curtis & Irving Reiner Methods of Representation Theory with Applications to Finite Groups and Orders, Volume II Bruno de Finetti Theory of Probability, Volume 1 Bruno de Finetti Theory of Probability, Volume 2 W. Edwards Deming Sample Design in Business Research Amos de Shalit & Herman Feshbach Theoretical Nuclear Physics, Volume 1 - Nuclear Structure J. L. Doob Stochastic Processes Nelson Dunford & Jacob T. Schwartz Linear Operators, Part One, General Theory Nelson Dunford & Jacob T. Schwartz Linear Operators, Part Two, Spectral Theory - Self Adjoint Operators in Hilbert Space Nelson Dunford & Jacob T. Schwartz Linear Operators, Part Three, Spectral Operators Herman Feshbach Theoretical Nuclear Physics: Nuclear Reactions Bernard Friedman Lectures on Applications-Oriented Mathematics Phillip Griffiths & Joseph Harris Principles of Algebraic Geometry Gerald J. Hahn & Samuel S. Shapiro Statistical Models in Engineering Morris H. Hansen, William N. Hurwitz & William G. Madow Sample Survey Methods and Theory, Volume I - Methods and Applications Morris H. Hansen, 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, Volume 2 - Special Functions - Integral Transforms - Asymptotics - Continued Fractions Peter Henrici Applied and Computational Complex Analysis, Volume 3 - Discrete Fourier Analysis - Cauchy Integrals - Construction of Conformal Maps - Univalent Functions Peter Hilton & Yel-Chiang 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

About Robert G. Bartle

Robert Gardner Bartle was an American mathematician specializing in real analysis. He is known for writing various popular textbooks.

Table of Contents

THE ELEMENTS OF INTEGRATION.; Measurable Functions.; Measures.; The Integral.; Integrable Functions.; The Lebesgue Spaces L p .; 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 Non--Borel Sets.; References.; Index.

Additional information

CIN0471042226G
9780471042228
0471042226
The Elements of Integration and Lebesgue Measure by Robert G. Bartle
Used - Good
Paperback
John Wiley & Sons Inc
1995-05-04
180
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in good condition, but if you are not entirely satisfied please get in touch with us

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