MARC details
| 000 -LEADER |
|---|
| fixed length control field |
03068cam a22003255a 4500 |
| 001 - CONTROL NUMBER |
|---|
| control field |
11320131 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20150817151624.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
121227t1982 nyu frb 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781461257004 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781461257028 (print) |
| 040 ## - CATALOGING SOURCE |
|---|
| Modifying agency |
WaSeSS |
| -- |
EG-ScBUE |
| Language of cataloging |
eng |
| 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, |
| 9 (RLIN) |
38362 |
| Dates associated with a name |
1917- |
| 245 12 - TITLE STATEMENT |
|---|
| Title |
A short introduction to perturbation theory for linear operators / |
| Statement of responsibility, etc |
Tosio Kato. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc |
New York : |
| Name of publisher, distributor, etc |
Springer-Verlag, |
| Date of publication, distribution, etc |
c.1982. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xiii, 161 p. ; |
| Dimensions |
25 cm. |
| 500 ## - GENERAL NOTE |
|---|
| General note |
Includes indexes. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Bibliography : p. 149-152. |
| 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 |
| -- |
34232 |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 910 ## - USER-OPTION DATA (OCLC) |
|---|
| User-option data |
Vendor-generated brief record |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Call number prefix |
515.7246 KAT |