MARC details
| 000 -LEADER |
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| fixed length control field |
04161cam a2200409Mi 4500 |
| 001 - CONTROL NUMBER |
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on1250259089 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240726104837.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
210510s2021 xx o 0|| 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
YDX |
| Language of cataloging |
eng |
| Description conventions |
rda |
| Transcribing agency |
YDX |
| Modifying agency |
NT |
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EBLCP |
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UKAHL |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781536196177 |
| Qualifying information |
|
| 050 04 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA431 |
| Item number |
.I584 2021 |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
XIAO, JIE. |
| Relator term |
Author |
| 245 10 - TITLE STATEMENT |
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| Title |
INTEGRAL AND FUNCTIONAL ANALYSIS (UPDATED EDITION) |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 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 |
data file |
| Source |
rda |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Mathematics Research Developments Ser. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc. note |
Includes bibliographies and index. |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Intro -- |
| Title |
INTEGRAL AND FUNCTIONALANALYSIS(UPDATED EDITION) -- |
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INTEGRAL AND FUNCTIONALANALYSIS(UPDATED EDITION) -- |
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Contents -- |
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Preface -- |
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Acknowledgments -- |
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Chapter 1Preliminaries -- |
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1.1 Sets, Relations, Functions, Cardinals and Ordinals -- |
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1.2 Reals, Some Basic Theorems and Sequence Limits -- |
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Problems -- |
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Chapter 2Riemann Integrals -- |
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2.1 Definitions, Examples and Basic Properties -- |
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2.2 Algebraic Operations and the Darboux Criterion -- |
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2.3 Fundamental Theorem of Calculus -- |
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2.4 Improper Integrals -- |
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Problems -- |
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Chapter 3Riemann-Stieltjes Integrals -- |
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3.1 Functions of Bounded Variation |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
3.2 Definition and Basic Properties -- |
| Title |
3.3 Nonexistence and Existence for Integrals -- |
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3.4 Evaluations of Integrals -- |
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3.5 Improper Situations -- |
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Problems -- |
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Chapter 4Lebesgue-Radon-StieltjesIntegrals -- |
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4.1 Foundational Material -- |
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4.2 Essential Properties -- |
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4.3 Convergence Theorems -- |
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4.4 Extension via Measurability -- |
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4.5 Double, Iterated and Generic Integrals -- |
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Problems -- |
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Chapter 5Absolute Continuitiesin Lebesgue Integrals -- |
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5.1 Lebesgue's Outer Measure and Vitali's Covering -- |
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5.2 Derivatives of Increasing Functions -- |
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5.3 Absolutely Continuous Functions |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
5.4 Cantor's Ternary Set and Singular Function -- |
| Title |
5.5 Lebesgue's Points -- |
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Problems -- |
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Chapter 6Metric Spaces -- |
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6.1 Metrizable Topology and Connectedness -- |
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6.2 Completeness -- |
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6.3 Compactness, Density and Separability -- |
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Problems -- |
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Chapter 7Continuous Mappings -- |
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7.1 Criteria for Continuity -- |
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7.2 Continuous Mappings over Compactor ConnectedMetric Spaces -- |
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7.3 Sequences of Mappings -- |
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7.4 Contractions -- |
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7.5 Structures of Metric Spaces -- |
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Problems -- |
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Chapter 8Normed Linear Spaces -- |
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8.1 Linear Spaces, Norms and Quotient Spaces -- |
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8.2 Finite Dimensional Spaces -- |
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8.3 Bounded Linear Operators |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
8.4 Linear Functionals via Hahn-Banach Extension -- |
| Title |
Problems -- |
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Chapter 9Banach Spaces via Operatorsand Functionals -- |
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9.1 Definition and Beginning Examples -- |
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9.2 Uniform Boundedness -- |
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Open Map -- |
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Closed Graph -- |
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9.3 Dual Banach Spaces by Examples -- |
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9.4 Weak and Weak* Topologies -- |
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9.5 Compact and Dual Operators -- |
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Problems -- |
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Chapter 10Hilbert Spaces and TheirOperators -- |
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10.1 Definition, Examples and Basic Properties -- |
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10.2 Orthogonality, Orthogonal Complementand Duality -- |
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10.3 Orthonormal Sets and Bases -- |
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10.4 Five Special Bounded Operators -- |
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10.5 Compact Operators via Spectrum -- |
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Problems |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Hints or Solutions -- |
| Title |
1 Preliminaries -- |
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3 Riemann-Stieltjes Integrals -- |
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4 Lebesgue-Radon-Stieltjes Integrals -- |
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5 Absolute Continuities in Lebesgue Integrals -- |
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6 Metric Spaces -- |
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7 Continuous Mappings -- |
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8 Normed Linear Spaces -- |
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9 Banach Spaces via Operators and Functionals -- |
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10 Hilbert Spaces and Their Operators -- |
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2 Riemann Integrals -- |
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References -- |
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About the Author -- |
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Index -- |
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Blank Page -- |
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Blank Page |
| 530 ## - COPYRIGHT INFORMATION: |
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| COPYRIGHT INFORMATION |
COPYRIGHT NOT covered - Click this link to request copyright permission: |
| Uniform Resource Identifier |
<a href="b">b</a> |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Integral equations. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Metric spaces. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Functional analysis. |
| 655 #1 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic Books. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| -- |
Click to access digital title | log in using your CIU ID number and my.ciu.edu password. |
| Uniform Resource Identifier |
<a href="httpss://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=2913944&site=eds-live&custid=s3260518">httpss://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=2913944&site=eds-live&custid=s3260518</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Koha item type |
Online Book (LOGIN USING YOUR MY CIU LOGIN AND PASSWORD) |
| DONATED BY: |
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| VENDOR |
EBSCO |
| Classification part |
QA |
| PUBLICATION YEAR |
2021 |
| LOCATION |
ONLINE |
| REQUESTED BY: |
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NFIC |
| Source of classification or shelving scheme |
|
| 994 ## - |
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92 |
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NT |
| 902 ## - LOCAL DATA ELEMENT B, LDB (RLIN) |
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| a |
1 |
| b |
Cynthia Snell |
| c |
1 |
| d |
Cynthia Snell |