A short introduction to perturbation theory for linear operators / (Record no. 20564)

MARC details
000 -LEADER
fixed length control field 03149cam a2200349 i 4500
001 - CONTROL NUMBER
control field 11320131
003 - CONTROL NUMBER IDENTIFIER
control field EG-ScBUE
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20241017093248.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 121227t1982 nyu f b 001 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781461257028
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781461257028 (print)
040 ## - CATALOGING SOURCE
Original cataloging agency EG-ScBUE
Language of cataloging eng
Description conventions rda
Transcribing agency EG-ScBUE
Modifying agency WaSeSS
-- EG-ScBUE
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.7246
Edition number 22
Item number KAT
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Katō, Tosio,
Dates associated with a name 1917-
Relator term author.
9 (RLIN) 38362
245 12 - TITLE STATEMENT
Title A short introduction to perturbation theory for linear operators /
Statement of responsibility, etc Tosio Kato.
264 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc New York :
Name of publisher, distributor, etc Springer-Verlag,
Date of publication, distribution, etc [1982]
264 #4 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Date of publication, distribution, etc c1982
300 ## - PHYSICAL DESCRIPTION
Extent xiii, 161 pages ;
Dimensions 25 cm
336 ## - CONTENT TYPE
Source rdacontent
Content type term text
Content type code txt
337 ## - MEDIA TYPE
Media type term unmediated
Source rdamedia
Media type code n
338 ## - CARRIER TYPE
Carrier type term volume
Carrier type code nc
Source rdacarrier
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.<br/>
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note One Operator theory in finite-dimensional vector spaces -- {sect} 1. Vector spaces and normed vector spaces -- {sect} 2. Linear forms and the adjoint space -- {sect} 3. Linear operators -- {sect} 4. Analysis with operators -- {sect} 5. The eigenvalue problem -- {sect} 6. Operators in unitary spaces -- {sect} 7. Positive matrices -- Two Perturbation theory in a finite-dimensional space -- {sect} 1. Analytic perturbation of eigenvalues -- {sect} 2. Perturbation series -- {sect} 3. Convergence radii and error estimates -- {sect} 4. Similarity transformations of the eigenspaces and eigenvectors -- {sect} 5. Non-analytic perturbations -- {sect} 6. Perturbation of symmetric operators -- {sect} 7. Perturbation of (essentially) nonnegative matrices -- Notation index -- Author index.
506 ## - RESTRICTIONS ON ACCESS NOTE
Terms governing access License restrictions may limit access.
520 ## - SUMMARY, ETC.
Summary, etc This book is a slightly expanded reproduction of the first two chapters (plus Introduction) of my book Perturbation Theory tor Linear Operators, Grundlehren der mathematischen Wissenschaften 132, Springer 1980. Ever since, or even before, the publication of the latter, there have been suggestions about separating the first two chapters into a single volume. I have now agreed to follow the suggestions, hoping that it will make the book available to a wider audience. Those two chapters were intended from the outset to be a comprehen sive presentation of those parts of perturbation theory that can be treated without the topological complications of infinite-dimensional spaces. In fact, many essential and. even advanced results in the theory have non trivial contents in finite-dimensional spaces, although one should not forget that some parts of the theory, such as those pertaining to scatter ing. are peculiar to infinite dimensions. I hope that this book may also be used as an introduction to linear algebra. I believe that the analytic approach based on a systematic use of complex functions, by way of the resolvent theory, must have a strong appeal to students of analysis or applied mathematics, who are usually familiar with such analytic tools.
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Perturbation (Mathematics)
Source of heading or term BUEsh
9 (RLIN) 36431
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Linear operators.
Source of heading or term BUEsh
9 (RLIN) 22996
651 ## - SUBJECT ADDED ENTRY--GEOGRAPHIC NAME
Source of heading or term BUEsh
653 ## - INDEX TERM--UNCONTROLLED
Resource For college Engineering, General
Arrived date list August2015
655 ## - INDEX TERM--GENRE/FORM
Form subdivision Reading book
9 (RLIN) 34232
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Koha item type Book - Borrowing
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Home library Current library Shelving location Date acquired Source of acquisition Cost, normal purchase price Serial Enumeration / chronology Total Checkouts Total Renewals Full call number Barcode Date last seen Date checked out Cost, replacement price Koha item type
    Dewey Decimal Classification     Baccah Central Library Central Library First floor 17/08/2015 Purchase 1150.00 23376 1 13 515.7246 KAT 000039760 15/07/2025 19/08/2015 1437.50 Book - Borrowing

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