MARC details
000 -LEADER |
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 |
Description conventions |
pn |
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rda |
Transcribing agency |
IDEBK |
Modifying agency |
YDX |
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NT |
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OCLCF |
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OCLCQ |
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OCLCO |
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OCLCQ |
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CUY |
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IGB |
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AGLDB |
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DEGRU |
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D6H |
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CN8ML |
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OCLCQ |
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VTS |
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LVT |
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S9I |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781400884339 |
Qualifying information |
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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 |
Content type code |
txt |
Source |
rdacontent |
337 ## - MEDIA TYPE |
Media type term |
computer |
Media type code |
c |
Source |
rdamedia |
338 ## - CARRIER TYPE |
Carrier type term |
online resource |
Carrier type code |
cr |
Source |
rdacarrier |
347 ## - DIGITAL FILE CHARACTERISTICS |
File type |
data file |
Source |
rda |
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 -- |
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Chapter 1. Introduction -- |
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Part 1. Linear and Nonlinear Functional Analysis -- |
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Chapter 2. Linear Functional Analysis -- |
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Chapter 3. Calculus in Banach Spaces -- |
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Chapter 4. Multilinear and Analytic Operators -- |
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Part 2. Analytic Varieties -- |
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Chapter 5. Analytic Functions on F -- |
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Chapter 6. Polynomials -- |
-- |
Chapter 7. Analytic Varieties -- |
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Part 3. Bifurcation Theory -- |
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Chapter 8. Local Bifurcation Theory -- |
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Chapter 9. Global Bifurcation Theory -- |
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Part IV. Stokes Waves -- |
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Chapter 10. Steady Periodic Water Waves -- |
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Chapter 11. Global Existence of Stokes Waves -- |
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Bibliography -- |
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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: |
COPYRIGHT INFORMATION |
COPYRIGHT NOT covered - Click this link to request copyright permission: |
Uniform Resource Identifier |
<a href="b">b</a> |
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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Click to access digital title | log in using your CIU ID number and my.ciu.edu password |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Koha item type |
Online Book (LOGIN USING YOUR MY CIU LOGIN AND PASSWORD) |
DONATED BY: |
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VENDOR |
EBSCO |
Classification part |
QA |
PUBLICATION YEAR |
2016 |
LOCATION |
ONLINE |
REQUESTED BY: |
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-- |
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-- |
NFIC |
Source of classification or shelving scheme |
|
902 ## - LOCAL DATA ELEMENT B, LDB (RLIN) |
a |
1 |
b |
Cynthia Snell |
c |
1 |
d |
Cynthia Snell |