Analytic Theory of Global Bifurcation. (Record no. 86579)

MARC details
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fixed length control field 03498cam a2200325Mi 4500
001 - CONTROL NUMBER
control field ocn957655684
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240726105029.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 160902s2016 xx o 000 0 eng d
040 ## - CATALOGING SOURCE
Original cataloging agency IDEBK
Language of cataloging eng
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781400884339
Qualifying information
050 04 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA380
Item number .A535 2016
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Buffoni, Boris,
Dates associated with a name 1965-
Relator term Author
245 10 - TITLE STATEMENT
Title Analytic Theory of Global Bifurcation.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Name of publisher, distributor, etc. Princeton University Press,
Date of publication, distribution, etc. (c)2016.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource
336 ## - CONTENT TYPE
Content type term text
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337 ## - MEDIA TYPE
Media type term computer
Media type code c
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338 ## - CARRIER TYPE
Carrier type term online resource
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347 ## - DIGITAL FILE CHARACTERISTICS
File type data file
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490 0# - SERIES STATEMENT
Series statement Princeton Series in Applied Mathematics
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes bibliographies and index.
505 00 - FORMATTED CONTENTS NOTE
Formatted contents note Frontmatter --
Title Contents --
-- Preface --
-- Chapter 1. Introduction --
-- Part 1. Linear and Nonlinear Functional Analysis --
-- Chapter 2. Linear Functional Analysis --
-- Chapter 3. Calculus in Banach Spaces --
-- Chapter 4. Multilinear and Analytic Operators --
-- Part 2. Analytic Varieties --
-- Chapter 5. Analytic Functions on F --
-- Chapter 6. Polynomials --
-- Chapter 7. Analytic Varieties --
-- Part 3. Bifurcation Theory --
-- Chapter 8. Local Bifurcation Theory --
-- Chapter 9. Global Bifurcation Theory --
-- Part IV. Stokes Waves --
-- Chapter 10. Steady Periodic Water Waves --
-- Chapter 11. Global Existence of Stokes Waves --
-- Bibliography --
-- Index
520 0# - SUMMARY, ETC.
Summary, etc. Rabinowitz's classical global bifurcation theory, which concerns the study in-the-large of parameter-dependent families of nonlinear equations, uses topological methods that address the problem of continuous parameter dependence of solutions by showing that there are connected sets of solutions of global extent. Even when the operators are infinitely differentiable in all the variables and parameters, connectedness here cannot in general be replaced by path-connectedness. However, in the context of real-analyticity there is an alternative theory of global bifurcation due to Dancer, which offers a much stronger notion of parameter dependence. This book aims to develop from first principles Dancer's global bifurcation theory for one-parameter families of real-analytic operators in Banach spaces. It shows that there are globally defined continuous and locally real-analytic curves of solutions. In particular, in the real-analytic setting, local analysis can lead to global consequences--for example, as explained in detail here, those resulting from bifurcation from a simple eigenvalue. Included are accounts of analyticity and implicit function theorems in Banach spaces, classical results from the theory of finite-dimensional analytic varieties, and the links between these two and global existence theory. Laying the foundations for more extensive studies of real-analyticity in infinite-dimensional problems and illustrating the theory with examples, Analytic Theory of Global Bifurcation is intended for graduate students and researchers in pure and applied analysis.
530 ## - COPYRIGHT INFORMATION:
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650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Bifurcation theory.
655 #1 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic Books.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1353578&site=eds-live&custid=s3260518">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1353578&site=eds-live&custid=s3260518</a>
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942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Online Book (LOGIN USING YOUR MY CIU LOGIN AND PASSWORD)
DONATED BY:
VENDOR EBSCO
Classification part QA
PUBLICATION YEAR 2016
LOCATION ONLINE
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Source of classification or shelving scheme
902 ## - LOCAL DATA ELEMENT B, LDB (RLIN)
a 1
b Cynthia Snell
c 1
d Cynthia Snell
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection Home library Current library Shelving location Date acquired Source of acquisition Total Checkouts Full call number Barcode Date last seen Uniform Resource Identifier Price effective from Koha item type
        Non-fiction G. Allen Fleece Library G. Allen Fleece Library ONLINE 07/07/2023 EBSCO   QA380 ocn957655684 07/07/2023 https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1353578&site=eds-live&custid=s3260518 07/07/2023 Online Book (LOGIN USING YOUR MY CIU LOGIN AND PASSWORD)