MARC details
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ocn262692832 |
| 003 - CONTROL NUMBER IDENTIFIER |
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OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20250703131604.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS |
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m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr cn||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
081017s2006 gw a obm 001 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
GW5XE |
| Language of cataloging |
eng |
| Description conventions |
pn |
| Transcribing agency |
GW5XE |
| Modifying agency |
GW5XE |
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SPLNM |
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OCLCQ |
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HNK |
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UAB |
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E7B |
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IDEBK |
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OCLCQ |
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YNG |
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MYPMP |
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OCLCQ |
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OCLCF |
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OCLCQ |
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COO |
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NUI |
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SLY |
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OCLCQ |
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DEBSZ |
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OCLCQ |
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OCLCQ |
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ESU |
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OCLCQ |
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OCLCO |
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COM |
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OCLCO |
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OCL |
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OCLCQ |
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WSU |
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OCLCO |
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OCLCL |
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S9M |
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UKKRT |
| 016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER |
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| Record control number |
98074590X |
| Source |
DE-101 |
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76808715 |
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85539180 |
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149004228 |
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1406308364 |
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1413273291 |
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1413278264 |
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1418768224 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783540355915 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
354035591X |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
3540355901 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783540355908 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
661070029X |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9786610700295 |
| 024 7# - OTHER STANDARD IDENTIFIER |
|---|
| Standard number or code |
10.1007/3-540-35590-1 |
| Source of number or code |
doi |
| 029 1# - (OCLC) |
|---|
| OCLC library identifier |
AU@ |
| System control number |
000042067548 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
AU@ |
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000051346431 |
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DEBSZ |
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449580881 |
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NLGGC |
| System control number |
384204376 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
NZ1 |
| System control number |
12054410 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)262692832 |
| Canceled/invalid control number |
(OCoLC)76808715 |
| -- |
(OCoLC)85539180 |
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(OCoLC)149004228 |
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(OCoLC)228398098 |
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(OCoLC)320975838 |
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(OCoLC)647621903 |
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(OCoLC)729900717 |
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(OCoLC)880102169 |
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(OCoLC)964932853 |
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(OCoLC)1005764060 |
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(OCoLC)1035650489 |
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(OCoLC)1044166727 |
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(OCoLC)1044173847 |
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(OCoLC)1044322647 |
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(OCoLC)1048150354 |
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(OCoLC)1050961289 |
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(OCoLC)1056328853 |
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(OCoLC)1056347760 |
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(OCoLC)1056383134 |
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(OCoLC)1060841187 |
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(OCoLC)1066657317 |
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(OCoLC)1075490101 |
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(OCoLC)1077853142 |
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(OCoLC)1097287520 |
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(OCoLC)1102296167 |
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(OCoLC)1105600926 |
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(OCoLC)1147704889 |
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(OCoLC)1391786951 |
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(OCoLC)1391814796 |
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(OCoLC)1406308364 |
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(OCoLC)1413273291 |
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(OCoLC)1413278264 |
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(OCoLC)1418768224 |
| 037 ## - SOURCE OF ACQUISITION |
|---|
| Stock number |
978-3-540-35590-8 |
| Source of stock number/acquisition |
Springer |
| Note |
http://www.springerlink.com |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA247.4 |
| Item number |
.H64 2006eb |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
QA |
| Source |
lcco |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
MAT |
| Subject category code subdivision |
002050 |
| Source |
bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
PBMW |
| Source |
bicssc |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512.56 |
| Edition number |
22 |
| 084 ## - OTHER CLASSIFICATION NUMBER |
|---|
| Classification number |
31.44 |
| Number source |
bcl |
| 084 ## - OTHER CLASSIFICATION NUMBER |
|---|
| Classification number |
O155 |
| Number source |
clc |
| 049 ## - LOCAL HOLDINGS (OCLC) |
|---|
| Holding library |
MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Hoeven, J. van der |
| Fuller form of name |
(Joris) |
| 9 (RLIN) |
71211 |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Transseries and real differential algebra / |
| Statement of responsibility, etc. |
J. van der Hoeven. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc. |
Berlin : |
| Name of publisher, distributor, etc. |
Springer, |
| Date of publication, distribution, etc. |
2006. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 online resource (xii, 255 pages) : |
| Other physical details |
illustrations |
| 336 ## - CONTENT TYPE |
|---|
| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
|---|
| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
|---|
| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
|---|
| File type |
text file |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
|---|
| Encoding format |
PDF |
| 490 1# - SERIES STATEMENT |
|---|
| Series statement |
Lecture notes in mathematics, |
| International Standard Serial Number |
0075-8434 ; |
| Volume/sequential designation |
1888 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references (pages 235-239) and index. |
| 588 0# - SOURCE OF DESCRIPTION NOTE |
|---|
| Source of description note |
Print version record. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Orderings -- Grdi-based series -- The Newton polygon method -- Transseries -- Operations on transseries -- Grid-based operators -- Linear differential equations -- Algebraic differential equations -- The intermediate value theorem. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
Transseries are formal objects constructed from an infinitely large variable x and the reals using infinite summation, exponentiation and logarithm. They are suitable for modeling "strongly monotonic" or "tame" asymptotic solutions to differential equations and find their origin in at least three different areas of mathematics: analysis, model theory and computer algebra. They play a crucial role in Écalle's proof of Dulac's conjecture, which is closely related to Hilbert's 16th problem. The aim of the present book is to give a detailed and self-contained exposition of the theory of transseries, in the hope of making it more accessible to non-specialists. |
| 506 ## - RESTRICTIONS ON ACCESS NOTE |
|---|
| Terms governing access |
University staff and students only. Requires University Computer Account login off-campus. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Differential algebra. |
| 9 (RLIN) |
10457 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Series, Arithmetic. |
| 9 (RLIN) |
71212 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Algèbre différentielle. |
| 9 (RLIN) |
10459 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Séries arithmétiques. |
| 9 (RLIN) |
71213 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
arithmetic progressions. |
| Source of heading or term |
aat |
| 9 (RLIN) |
969362 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
MATHEMATICS |
| General subdivision |
Algebra |
| -- |
Linear. |
| Source of heading or term |
bisacsh |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Series, Arithmetic. |
| Source of heading or term |
cct |
| 9 (RLIN) |
71212 |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Differential algebra. |
| Source of heading or term |
cct |
| 9 (RLIN) |
10457 |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Álgebra diferencial |
| Source of heading or term |
embucm |
| 9 (RLIN) |
973669 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Differential algebra |
| Source of heading or term |
fast |
| 9 (RLIN) |
10457 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Series, Arithmetic |
| Source of heading or term |
fast |
| 9 (RLIN) |
71212 |
| 650 17 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Differentiaalrekening. |
| Source of heading or term |
gtt |
| 9 (RLIN) |
71215 |
| 655 #2 - INDEX TERM--GENRE/FORM |
|---|
| Genre/form data or focus term |
Academic Dissertation |
| 9 (RLIN) |
967012 |
| 655 #7 - INDEX TERM--GENRE/FORM |
|---|
| Genre/form data or focus term |
dissertations. |
| Source of term |
aat |
| 9 (RLIN) |
973377 |
| 655 #7 - INDEX TERM--GENRE/FORM |
|---|
| Genre/form data or focus term |
Academic theses |
| Source of term |
fast |
| 9 (RLIN) |
12626 |
| 655 #7 - INDEX TERM--GENRE/FORM |
|---|
| Genre/form data or focus term |
Academic theses. |
| Source of term |
lcgft |
| 9 (RLIN) |
12626 |
| 655 #7 - INDEX TERM--GENRE/FORM |
|---|
| Genre/form data or focus term |
Thèses et écrits académiques. |
| Source of term |
rvmgf |
| 9 (RLIN) |
967013 |
| 758 ## - |
|---|
| -- |
has work: |
| -- |
Transseries and real differential algebra (Text) |
| -- |
https://id.oclc.org/worldcat/entity/E39PCFKytmCrP7fBcxbXKHtqcP |
| -- |
https://id.oclc.org/worldcat/ontology/hasWork |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
OhioLINK electronic book center |
| Record control number |
(OCoLC)180989150 |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
SpringerLink |
| Record control number |
(OCoLC)43927870 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Print version: |
| Main entry heading |
Hoeven, Joris van der. |
| Title |
Transseries and real differential algebra. |
| Place, publisher, and date of publication |
Berlin : Springer, 2006 |
| International Standard Book Number |
3540355901 |
| Record control number |
(DLC) 2006930997 |
| -- |
(OCoLC)71747730 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Lecture notes in mathematics (Springer-Verlag) ; |
| Volume number/sequential designation |
1888. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="https://link-springer-com.libraryproxy.ist.ac.at/10.1007/3-540-35590-1">https://link-springer-com.libraryproxy.ist.ac.at/10.1007/3-540-35590-1</a> |
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Kortext |
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KTXT |
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1601932 |
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Askews and Holts Library Services |
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ASKH |
| -- |
AH26903545 |
| 938 ## - |
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ProQuest Ebook Central |
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EBLB |
| -- |
EBL6858263 |
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ProQuest Ebook Central |
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EBLB |
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EBL3036507 |
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ebrary |
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EBRY |
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ebr10150905 |
| 938 ## - |
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EBSCOhost |
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EBSC |
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182874 |
| 938 ## - |
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| -- |
ProQuest MyiLibrary Digital eBook Collection |
| -- |
IDEB |
| -- |
70029 |
| 938 ## - |
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YBP Library Services |
| -- |
YANK |
| -- |
2530402 |
| 994 ## - |
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92 |
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ATIST |