MARC details
| 000 -LEADER |
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| fixed length control field |
03638nam a22004575i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
978-0-8176-4656-1 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20160302164305.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| fixed length control field |
cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
100301s2009 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780817646561 |
| -- |
978-0-8176-4656-1 |
| 024 7# - OTHER STANDARD IDENTIFIER |
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| Standard number or code |
10.1007/978-0-8176-4656-1 |
| Source of number or code |
doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA299.6-433 |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
PBK |
| Source |
bicssc |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT034000 |
| Source |
bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515 |
| Edition number |
23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Benedetto, John J. |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
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| Title |
Integration and Modern Analysis |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc. |
by John J. Benedetto, Wojciech Czaja. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Place of production, publication, distribution, manufacture |
Boston : |
| Name of producer, publisher, distributor, manufacturer |
Birkhäuser Boston, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2009. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XIX, 575 p. 24 illus. |
| Other physical details |
online resource. |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
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| File type |
text file |
| Encoding format |
PDF |
| Source |
rda |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Birkhäuser Advanced Texts / Basler Lehrbücher |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Classical Real Variables -- Lebesgue Measure and General Measure Theory -- The Lebesgue Integral -- The Relationship between Differentiation and Integration on -- Spaces of Measures and the Radon#x2013;Nikodym Theorem -- Weak Convergence of Measures -- Riesz Representation Theorem -- Lebesgue Differentiation Theorem on -- Self-Similar Sets and Fractals -- Functional Analysis -- Fourier Analysis. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
A paean to twentieth century analysis, this modern text has several important themes and key features which set it apart from others on the subject. A major thread throughout is the unifying influence of the concept of absolute continuity on differentiation and integration. This leads to fundamental results such as the Dieudonné–Grothendieck theorem and other intricate developments dealing with weak convergence of measures. Key Features: Fascinating historical commentary interwoven into the exposition; Hundreds of problems from routine to challenging; Broad mathematical perspectives and material, e.g., in harmonic analysis and probability theory, for independent study projects; Two significant appendices on functional analysis and Fourier analysis. Key Topics: In-depth development of measure theory and Lebesgue integration; Comprehensive treatment of connection between differentiation and integration, as well as complete proofs of state-of-the-art results; Classical real variables and introduction to the role of Cantor sets, later placed in the modern setting of self-similarity and fractals; Evolution of the Riesz representation theorem to Radon measures and distribution theory; Deep results in modern differentiation theory; Systematic development of weak sequential convergence inspired by theorems of Vitali, Nikodym, and Hahn–Saks; Thorough treatment of rearrangements and maximal functions; The relation between surface measure and Hausforff measure; Complete presentation of Besicovich coverings and differentiation of measures. Integration and Modern Analysis will serve advanced undergraduates and graduate students, as well as professional mathematicians. It may be used in the classroom or self-study. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematical analysis. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Analysis (Mathematics). |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Analysis. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Czaja, Wojciech. |
| Relator term |
author. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
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| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Printed edition: |
| International Standard Book Number |
9780817643065 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Birkhäuser Advanced Texts / Basler Lehrbücher |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="http://dx.doi.org/10.1007/978-0-8176-4656-1">http://dx.doi.org/10.1007/978-0-8176-4656-1</a> |
| 912 ## - |
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ZDB-2-SMA |
