Ramanujan's Theta Functions (Запис № 447192)

МАРК-запис
000 -LEADER
fixed length control field 03642nam a22005415i 4500
001 - CONTROL NUMBER
control field 978-3-319-56172-1
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20210118125938.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 170612s2017 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783319561721
-- 978-3-319-56172-1
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-319-56172-1
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA241-247.5
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBH
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT022000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBH
Source thema
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.7
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Cooper, Shaun.
Relator term author.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
245 10 - TITLE STATEMENT
Title Ramanujan's Theta Functions
Medium [electronic resource] /
Statement of responsibility, etc by Shaun Cooper.
250 ## - EDITION STATEMENT
Edition statement 1st ed. 2017.
264 #1 -
-- Cham :
-- Springer International Publishing :
-- Imprint: Springer,
-- 2017.
300 ## - PHYSICAL DESCRIPTION
Extent XVIII, 687 p. 1 illus.
Other physical details online resource.
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-- computer
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338 ## -
-- online resource
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347 ## -
-- text file
-- PDF
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505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Preface -- 0. Sum to Product Identities -- 1. Elliptic Functions -- 2. Transformations -- 3. Theta Functions -- 4. Levels 1, 2, 3, and 4: Jacobi's Inversion Theorem and Ramanujan's Alternative Theories -- 5. Level 5: The Rogers-Ramanujan Continued Fraction -- 6. Level 6: Ramanujan's Cubic Continued Fraction -- 7. Level 7 -- 8. Level 8: The Ramanujan-Gollnitz-Gordon Continued Fraction -- 9. Level 9 -- 10. Level 10: Ramanujan's Function k -- 11. Levels 11 and 23 -- 12. Level 12 -- 13. Hypergeometric Modular Transformations -- 14. Ramanujan's Series for 1/pi -- References.
520 ## - SUMMARY, ETC.
Summary, etc Theta functions were studied extensively by Ramanujan. This book provides a systematic development of Ramanujan’s results and extends them to a general theory. The author’s treatment of the subject is comprehensive, providing a detailed study of theta functions and modular forms for levels up to 12. Aimed at advanced undergraduates, graduate students, and researchers, the organization, user-friendly presentation, and rich source of examples, lends this book to serve as a useful reference, a pedagogical tool, and a stimulus for further research. Topics, especially those discussed in the second half of the book, have been the subject of much recent research; many of which are appearing in book form for the first time. Further results are summarized in the numerous exercises at the end of each chapter.
506 ## - RESTRICTIONS ON ACCESS NOTE
Terms governing access Available to subscribing member institutions only. Доступно лише організаціям членам підписки.
506 ## - RESTRICTIONS ON ACCESS NOTE
Standardized terminology for access restriction Online access from local network of NaUOA.
506 ## - RESTRICTIONS ON ACCESS NOTE
Standardized terminology for access restriction Online access with authorization at https://link.springer.com/
506 ## - RESTRICTIONS ON ACCESS NOTE
Standardized terminology for access restriction Онлайн-доступ з локальної мережі НаУОА.
506 ## - RESTRICTIONS ON ACCESS NOTE
Standardized terminology for access restriction Онлайн доступ з авторизацією на https://link.springer.com/
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Number theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebraic geometry.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Number Theory.
-- http://scigraph.springernature.com/things/product-market-codes/M25001
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebraic Geometry.
-- http://scigraph.springernature.com/things/product-market-codes/M11019
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783319561714
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783319561738
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783319858432
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1007/978-3-319-56172-1">https://doi.org/10.1007/978-3-319-56172-1</a>
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942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type ЕКнига

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