MARC details
| 000 -LEADER |
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| fixed length control field |
04301nam a22004577a 4500 |
| 001 - CONTROL NUMBER |
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| control field |
21675148 |
| 003 - CONTROL NUMBER IDENTIFIER |
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IIITD |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240521020003.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION |
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m |o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr ||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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230522b xxu||||| |||| 00| 0 eng d |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| LC control number |
2019743081 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781489991751 |
| 024 7# - OTHER STANDARD IDENTIFIER |
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| Standard number or code |
10.1007/978-3-319-77834-1 |
| Source of number or code |
doi |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(DE-He213)978-3-319-77834-1 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
DLC |
| Language of cataloging |
eng |
| Description conventions |
pn |
| -- |
rda |
| Transcribing agency |
DLC |
| Modifying agency |
IIITD |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT034000 |
| Source |
bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
PBKF |
| Source |
bicssc |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
PBKF |
| Source |
thema |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.984 |
| Edition number |
23 |
| Item number |
AND-R |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Andrews, George E. |
| 245 10 - TITLE STATEMENT |
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| Title |
Ramanujan's lost notebook : |
| Remainder of title |
part 4 |
| Statement of responsibility, etc |
by George E. Andrews and Bruce C. Berndt. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
New York : |
| Name of publisher, distributor, etc |
Springer, |
| Date of publication, distribution, etc |
©2013 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xvii, 439 p. : |
| Other physical details |
ill. ; |
| Dimensions |
25 cm. |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Ramanujan's lost notebook |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Preface -- 1. Introduction -- 2. Third Order Mock Theta Functions: Elementary Identities -- 3. Fifth Order Mock Theta Functions: Elementary Identities -- 4. Third Order Mock Theta Functions: Partial Fraction Expansions -- 5. The Mock Theta Conjectures: Equivalence -- 6. Fifth Order Mock Theta Functions: Proof of the Mock Theta Conjectures -- 7. Sixth Order Mock Theta Functions -- 8. Tenth Order Mock Theta Functions. Part I, The First Four Identities -- 9. Tenth Order Mock Theta Functions: Part II, Identities for phi10(q), psi10(q) -- 10. Tenth Order Mock Theta Functions: Part III, Identities for ch10(q), kh10(q) -- 11. Tenth Order Mock Theta Functions. Part IV -- 12. Transformation Formulas: 10th Order Mock Theta Functions -- 13. Two Identities Involving a Mordell Integral and Appel-Lerch Sums -- 14. Ramanujan's Last Letter to Hardy -- 15. Euler Products in Ramanujan's Lost Notebook -- 16. Continued Fractions -- 17. Recent Work on Mock Theta Functions -- 18. Commentary on and Corrections to the First Four Volumes -- 19. The Continuing Mystery -- Location Guide -- Provenance -- References -- Index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, "Ramanujan's lost notebook." Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony. This fifth and final installment of the authors' examination of Ramanujan's lost notebook focuses on the mock theta functions first introduced in Ramanujan's famous Last Letter. This volume proves all of the assertions about mock theta functions in the lost notebook and in the Last Letter, particularly the celebrated mock theta conjectures. Other topics feature Ramanujan's many elegant Euler products and the remaining entries on continued fractions not discussed in the preceding volumes. Review from the second volume: "Fans of Ramanujan's mathematics are sure to be delighted by this book. While some of the content is taken directly from published papers, most chapters contain new material and some previously published proofs have been improved. Many entries are just begging for further study and will undoubtedly be inspiring research for decades to come. The next installment in this series is eagerly awaited." - MathSciNet Review from the first volume: "Andrews and Berndt are to be congratulated on the job they are doing. This is the first step...on the way to an understanding of the work of the genius Ramanujan. It should act as an inspiration to future generations of mathematicians to tackle a job that will never be complete." - Gazette of the Australian Mathematical Society. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Functions of complex variables. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Number theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Special functions. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Special Functions. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Functions of a Complex Variable. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Number Theory. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Berndt, Bruce C. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
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| Display text |
Print version: |
| Title |
Ramanujan's lost notebook |
| International Standard Book Number |
9783319778327 |
| Record control number |
(DLC) 2018935289 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9783030085506 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9783319778327 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9783319778334 |
| 906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) |
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| a |
0 |
| b |
ibc |
| c |
origres |
| d |
u |
| e |
ncip |
| f |
20 |
| g |
y-gencatlg |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
| Koha issues (borrowed), all copies |
1 |
