Painlevé III: A Case Study in the Geometry of Meromorphic Connections (Запис № 448613)

МАРК-запис
000 -LEADER
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001 - CONTROL NUMBER
control field 978-3-319-66526-9
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20210118133547.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
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fixed length control field 171015s2017 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783319665269
-- 978-3-319-66526-9
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-319-66526-9
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA372
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBKJ
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT007000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBKJ
Source thema
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.352
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Guest, Martin A.
Relator term author.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
245 10 - TITLE STATEMENT
Title Painlevé III: A Case Study in the Geometry of Meromorphic Connections
Medium [electronic resource] /
Statement of responsibility, etc by Martin A. Guest, Claus Hertling.
250 ## - EDITION STATEMENT
Edition statement 1st ed. 2017.
264 #1 -
-- Cham :
-- Springer International Publishing :
-- Imprint: Springer,
-- 2017.
300 ## - PHYSICAL DESCRIPTION
Extent XII, 204 p. 12 illus.
Other physical details online resource.
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490 1# - SERIES STATEMENT
Series statement Lecture Notes in Mathematics,
Міжнародний стандартний серійний номер для назви серії (ISSN) 0075-8434 ;
Том/ позначення послідовності 2198
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 1. Introduction -- 2.- The Riemann-Hilbert correspondence for P3D6 bundles -- 3. (Ir)Reducibility -- 4. Isomonodromic families -- 5. Useful formulae: three 2 × 2 matrices --  6. P3D6-TEP bundles -- 7. P3D6-TEJPA bundles and moduli spaces of their monodromy tuples -- 8. Normal forms of P3D6-TEJPA bundles and their moduli spaces -- 9. Generalities on the Painleve´ equations -- 10. Solutions of the Painleve´ equation PIII (0, 0, 4, −4) -- 13. Comparison with the setting of Its, Novokshenov, and Niles -- 12.  Asymptotics of all solutions near 0 -- ...Bibliography. Index.
520 ## - SUMMARY, ETC.
Summary, etc The purpose of this monograph is two-fold:  it introduces a conceptual language for the geometrical objects underlying Painlevé equations,  and it offers new results on a particular Painlevé III equation of type  PIII (D6), called PIII (0, 0, 4, −4), describing its relation to isomonodromic families of vector bundles on P1  with meromorphic connections.  This equation is equivalent to the radial sine (or sinh) Gordon equation and, as such, it appears widely in geometry and physics.   It is used here as a very concrete and classical illustration of the modern theory of vector bundles with meromorphic connections. Complex multi-valued solutions on C* are the natural context for most of the monograph, but in the last four chapters real solutions on R>0 (with or without singularities) are addressed.  These provide examples of variations of TERP structures, which are related to  tt∗ geometry and harmonic bundles.    As an application, a new global picture of0 is given.
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 Differential equations.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebraic geometry.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Special functions.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Functions of complex variables.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Ordinary Differential Equations.
-- http://scigraph.springernature.com/things/product-market-codes/M12147
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
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Special Functions.
-- http://scigraph.springernature.com/things/product-market-codes/M1221X
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Functions of a Complex Variable.
-- http://scigraph.springernature.com/things/product-market-codes/M12074
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Hertling, Claus.
Relator term author.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
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 9783319665252
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783319665276
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Lecture Notes in Mathematics,
-- 0075-8434 ;
Volume number/sequential designation 2198
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1007/978-3-319-66526-9">https://doi.org/10.1007/978-3-319-66526-9</a>
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Koha item type ЕКнига

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