Ramanujan's lost notebook (Record no. 1751)

000 -LEADER
fixed length control field 02180nam a2200217Ia 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240910164207.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781493976256
040 ## - CATALOGING SOURCE
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA29.R3
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Andrews, E.G.
245 ## - TITLE STATEMENT
Title Ramanujan's lost notebook
Remainder of title : Part-I
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Name of publisher, distributor, etc. Springer,
Date of publication, distribution, etc. [c2005]
Place of publication, distribution, etc. USA:
300 ## - Physical Description
Pages: 437 p.
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note Introduction<br/>1. Rogers-Ramanujan Continued Fraction and Its Modular Properties<br/>2. Explicit Evaluations of the Rogers-Ramanujan Continued Fraction<br/>3. A Fragment on the Rogers-Ramanujan and Cubic Continued Fractions<br/>4. The Rogers-Ramanujan Continued Fraction and Its Connections with Partitions and Lambert Series<br/>5. Finite Rogers-Ramanujan Continued Fractions<br/>6. Other q-continued Fractions<br/>7. Asymptotic Formulas for Continued Fractions<br/>8. Ramanujan’s Continued Fraction for (q2;q3)∞/(q;q3)∞<br/>9. The Rogers-Fine Identity<br/>10. An Empirical Study of the Rogers-Ramanujan Identities<br/>11. Rogers-Ramanujan-Slater Type Identities<br/>12. Partial Fractions<br/>13. Hadamard Products for Two q-Series<br/>14. Integrals of Theta Functions<br/>15. Incomplete Elliptic Integrals<br/>16. Infinite Integrals of q-Products<br/>17. Modular Equations in Ramanujan’s Lost Notebook<br/>18. Fragments on Lambert Series
520 ## - SUMMARY, ETC.
Summary, etc. The "lost notebook" contains considerable material on mock theta functions and so undoubtedly emanates from the last year of Ramanujan's life. It should be emphasized that the material on mock theta functions is perhaps Ramanujan's deepest work. Mathematicians are probably several decades away from a complete understanding of those functions. More than half of the material in the book is on q-series, including mock theta functions; the remaining part deals with theta function identities, modular equations, incomplete elliptic integrals of the first kind and other integrals of theta functions, Eisenstein series, particular values of theta functions, the Rogers-Ramanujan continued fraction, other q-continued fractions, other integrals, and parts of Hecke's theory of modular forms.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Berndt, C.B.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Full call number Accession No. Koha item type
          ICTS Rack No 3 03/12/2018 QA29.R3 01018 Book