MARC details
| 000 -LEADER |
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05742pam a22003491i 4500 |
| 001 - CONTROL NUMBER |
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017097385 |
| 003 - CONTROL NUMBER IDENTIFIER |
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OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20210118105100.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION |
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m || d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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141203s2015 flua o| 000|0|eng|d |
| 015 ## - NATIONAL BIBLIOGRAPHY NUMBER |
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| National bibliography number |
GBB531825 |
| Source |
bnb |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781498702898 (hbk.) |
| 037 ## - SOURCE OF ACQUISITION |
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| Stock number |
TANDF_382069 |
| Source of stock number/acquisition |
Ingram Content Group |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
StDuBDS |
| Language of cataloging |
eng |
| Transcribing agency |
IISER Bhopsl |
| Description conventions |
rda |
| -- |
pn |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.42 W56M2 |
| Edition number |
23 |
| 100 10 - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Wheeden, Richard L. |
| 9 (RLIN) |
24403 |
| 222 ## - KEY TITLE |
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| Key title |
Mathematics-textbook collection |
| 245 10 - TITLE STATEMENT |
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| Title |
Measure and integral : |
| Remainder of title |
an introduction to real analysis |
| Statement of responsibility, etc |
Richard L. Wheeden. |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
Second edition. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Boca Raton: |
| Name of publisher, distributor, etc |
Taylor & Francis Group, |
| Date of publication, distribution, etc |
2015. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xvii, 514p. |
| Other physical details |
illustrations (black and white). |
| 490 0# - SERIES STATEMENT |
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| Series statement |
Chapman & Hall/CRC pure and applied mathematics ; |
| Volume number/sequential designation |
308 |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
<P>Preface to the Second Edition</P><P>Preface to the First Edition</P><P>Authors</P><B><P>Preliminaries</P></B><P>Points and Sets in R<SUP>n</P></SUP><P>R<SUP>n</SUP> as a Metric Space</P><P>Open and Closed Sets in R<SUP>n</SUP>, and Special Sets</P><P>Compact Sets and the Heine–Borel Theorem</P><P>Functions</P><P>Continuous Functions and Transformations</P><P>The Riemann Integral</P><P>Exercises</P><B><P>Functions of Bounded Variation and the Riemann–Stieltjes Integral</P></B><P>Functions of Bounded Variation</P><P>Rectifiable Curves</P><P>The Riemann–Stieltjes Integral</P><P>Further Results about Riemann–Stieltjes Integrals</P><P>Exercises</P><B><P>Lebesgue Measure and Outer Measure</P></B><P>Lebesgue Outer Measure and the Cantor Set</P><P>Lebesgue Measurable Sets</P><P>Two Properties of Lebesgue Measure</P><P>Characterizations of Measurability</P><P>Lipschitz Transformations of R<SUP>n</P></SUP><P>A Nonmeasurable Set</P><P>Exercises</P><B><P>Lebesgue Measurable Functions</P></B><P>Elementary Properties of Measurable Functions</P><P>Semicontinuous Functions</P><P>Properties of Measurable Functions and Theorems of Egorov and Lusin</P><P>Convergence in Measure</P><P>Exercises</P><B><P>The Lebesgue Integral</P></B><P>Definition of the Integral of a Nonnegative Function</P><P>Properties of the Integral</P><P>The Integral of an Arbitrary Measurable<I> f</P></I><P>Relation between Riemann–Stieltjes and Lebesgue Integrals, and the <I>L<SUP>p</I></SUP> Spaces, 0 < <I>p</I> < ∞</P><P>Riemann and Lebesgue Integrals</P><P>Exercises</P><B><P>Repeated Integration</P></B><P>Fubini’s Theorem</P><P>Tonelli’s Theorem</P><P>Applications of Fubini’s Theorem</P><P>Exercises</P><B><P>Differentiation</P></B><P>The Indefinite Integral</P><P>Lebesgue’s Differentiation Theorem</P><P>Vitali Covering Lemma</P><P>Differentiation of Monotone Functions</P><P>Absolutely Continuous and Singular Functions</P><P>Convex Functions</P><P>The Differential in R<SUP>n</P></SUP><P>Exercises</P><B><I><P>L<SUP>p</I></SUP> Classes</P></B><P>Definition of <I>L<SUP>p</P></I></SUP><P>Hölder’s Inequality and Minkowski’s Inequality</P><P>Classes<I> l <SUP>p</P></I></SUP><P>Banach and Metric Space Properties</P><P>The Space <I>L<SUP>2</I></SUP> and Orthogonality</P><P>Fourier Series and Parseval’s Formula</P><P>Hilbert Spaces</P><P>Exercises</P><B><P>Approximations of the Identity and Maximal Functions</P></B><P>Convolutions</P><P>Approximations of the Identity</P><P>The Hardy–Littlewood Maximal Function</P><P>The Marcinkiewicz Integral</P><P>Exercises</P><B><P>Abstract Integration</P></B><P>Additive Set Functions and Measures</P><P>Measurable Functions and Integration</P><P>Absolutely Continuous and Singular Set Functions and Measures</P><P>The Dual Space of <I>L<SUP>p</P></I></SUP><P>Relative Differentiation of Measures</P><P>Exercises</P><B><P>Outer Measure and Measure</P></B><P>Constructing Measures from Outer Measures</P><P>Metric Outer Measures</P><P>Lebesgue–Stieltjes Measure</P><P>Hausdorff Measure</P><P>Carathéodory–Hahn Extension Theorem</P><P>Exercises</P><B><P>A Few Facts from Harmonic Analysis</P></B><P>Trigonometric Fourier Series</P><P>Theorems about Fourier Coefficients</P><P>Convergence of <I>S</I>[<I>f</I>] and <I>SÞ</I>[<I>f</I>]</P><P>Divergence of Fourier Series</P><P>Summability of Sequences and Series</P><P>Summability of <I>S</I>[<I>f</I>] and <I>SÞ</I>[<I>f</I>] by the Method of the Arithmetic Mean</P><P>Summability of <I>S</I>[<I>f</I>] by Abel Means</P><P>Existence of <I>f Þ</P></I><P>Properties of<I> f Þ</I> for <I>f</I> ∈ <I>L<SUP>p</I></SUP>, 1 < <I>p</I> < ∞</P><P>Application of Conjugate Functions to Partial Sums of <I>S</I>[<I>f</I>]</P><P>Exercises</P><B><P>The Fourier Transform</P></B><P>The Fourier Transform on <I>L<SUP>1</P></I></SUP><P>The Fourier Transform on <I>L<SUP>2</P></I></SUP><P>The Hilbert Transform on <I>L<SUP>2</P></I></SUP><P>The Fourier Transform on <I>L<SUP>p</I></SUP>, 1 < <I>p</I> < 2</P><P>Exercises</P><B><P>Fractional Integration</P></B><P>Subrepresentation Formulas and Fractional Integrals</P><I><P>L<SUP>1</SUP>, L<SUP>1</I></SUP> Poincaré Estimates and the Subrepresentation Formula; Hölder Classes</P><P>Norm Estimates for <I>I<SUB>α</P></I></SUB><P>Exponential Integrability of <I>I<SUB>α</SUB>f</P></I><P>Bounded Mean Oscillation</P><P>Exercises</P><B><P>Weak Derivatives and Poincaré–Sobolev Estimates</P></B><P>Weak Derivatives</P><P>Approximation by Smooth Functions and Sobolev Spaces</P><P>Poincaré–Sobolev Estimates</P><P>Exercises</P><P>Notations</P><P>Index</P> |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Measure theory. |
| 9 (RLIN) |
24404 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Integrals, Generalized. |
| 9 (RLIN) |
24405 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
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| Display text |
Print version: |
| International Standard Book Number |
9781498702898 |
| 903 ## - LOCAL DATA ELEMENT C, LDC (RLIN) |
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| a |
ELD.DS.138268 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
