Divergent Series, Summability and Resurgence II (Record no. 11192)

MARC details
000 -LEADER
fixed length control field 03868nam a22005295i 4500
001 - CONTROL NUMBER
control field 978-3-319-29075-1
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20190213151602.0
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 160628s2016 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783319290751
-- 978-3-319-29075-1
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-319-29075-1
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA292
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA295
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBK
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT034000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBK
Source thema
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.24
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Loday-Richaud, Michèle.
Relator term author.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
245 10 - TITLE STATEMENT
Title Divergent Series, Summability and Resurgence II
Medium [electronic resource] :
Remainder of title Simple and Multiple Summability /
Statement of responsibility, etc by Michèle Loday-Richaud.
264 #1 -
-- Cham :
-- Springer International Publishing :
-- Imprint: Springer,
-- 2016.
300 ## - PHYSICAL DESCRIPTION
Extent XXIII, 272 p. 64 illus. in color.
Other physical details online resource.
336 ## -
-- text
-- txt
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337 ## -
-- computer
-- c
-- rdamedia
338 ## -
-- online resource
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347 ## -
-- text file
-- PDF
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490 1# - SERIES STATEMENT
Series statement Lecture Notes in Mathematics,
International Standard Serial Number 0075-8434 ;
Volume number/sequential designation 2154
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Avant-propos -- Preface to the three volumes -- Introduction to this volume -- 1 Asymptotic Expansions in the Complex Domain -- 2 Sheaves and Čech cohomology -- 3 Linear Ordinary Differential Equations -- 4 Irregularity and Gevrey Index Theorems -- 5 Four Equivalent Approaches to k-Summability -- 6 Tangent-to-Identity Diffeomorphisms -- 7 Six Equivalent Approaches to Multisummability -- Exercises -- Solutions to Exercises -- Index -- Glossary of Notations -- References.
520 ## - SUMMARY, ETC.
Summary, etc Addressing the question how to “sum” a power series in one variable when it diverges, that is, how to attach to it analytic functions, the volume gives answers by presenting and comparing the various theories of k-summability and multisummability. These theories apply in particular to all solutions of ordinary differential equations. The volume includes applications, examples and revisits, from a cohomological point of view, the group of tangent-to-identity germs of diffeomorphisms of C studied in volume 1. With a view to applying the theories to solutions of differential equations, a detailed survey of linear ordinary differential equations is provided which includes Gevrey asymptotic expansions, Newton polygons, index theorems and Sibuya’s proof of the meromorphic classification theorem that characterizes the Stokes phenomenon for linear differential equations. This volume is the second of a series of three entitled Divergent Series, Summability and Resurgence. It is aimed at graduate students and researchers in mathematics and theoretical physics who are interested in divergent series, Although closely related to the other two volumes it can be read independently.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Sequences (Mathematics).
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 Functional equations.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differentiable dynamical systems.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Sequences, Series, Summability.
-- http://scigraph.springernature.com/things/product-market-codes/M1218X
650 24 - 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 Difference and Functional Equations.
-- http://scigraph.springernature.com/things/product-market-codes/M12031
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Dynamical Systems and Ergodic Theory.
-- http://scigraph.springernature.com/things/product-market-codes/M1204X
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 9783319290744
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783319290768
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Lecture Notes in Mathematics,
-- 0075-8434 ;
Volume number/sequential designation 2154
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier https://doi.org/10.1007/978-3-319-29075-1
912 ## -
-- ZDB-2-SMA
912 ## -
-- ZDB-2-LNM

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