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| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20140310151446.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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120126s2012 xxk| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781447127390 |
|
978-1-4471-2739-0 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA184-205 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
512.5 |
| Edition number |
23 |
| 264 #1 - |
|---|
| -- |
London : |
| -- |
Springer London : |
| -- |
Imprint: Springer, |
| -- |
2012. |
| 912 ## - |
|---|
| -- |
ZDB-2-SMA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Bapat, R.B. |
| Relator term |
author. |
| 245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
Linear Algebra and Linear Models |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc |
by R.B. Bapat. |
| 250 ## - EDITION STATEMENT |
|---|
| Edition statement |
3rd ed. 2012. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
VIII, 167 p. 1 illus. |
| Other physical details |
online resource. |
| 440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
Universitext, |
| International Standard Serial Number |
0172-5939 |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Vector Spaces and Subspaces -- Rank, Inner Product and Nonsingularity -- Eigenvalues and Positive Definite Matrices -- Generalized Inverses -- Inequalities for Eigenvalues and Singular Values -- Rank Additivity and Matrix Partial Orders -- Linear Estimation -- Tests of Linear Hypotheses -- Linear Mixed Models -- Miscellaneous Topics -- Additional Exercises on Rank. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
Linear Algebra and Linear Models comprises a concise and rigorous introduction to linear algebra required for statistics followed by the basic aspects of the theory of linear estimation and hypothesis testing. The emphasis is on the approach using generalized inverses. Topics such as the multivariate normal distribution and distribution of quadratic forms are included. For this third edition, the material has been reorganised to develop the linear algebra in the first six chapters, to serve as a first course on linear algebra that is especially suitable for students of statistics or for those looking for a matrix theoretic approach to the subject. Other key features include: • coverage of topics such as rank additivity, inequalities for eigenvalues and singular values; • a new chapter on linear mixed models; • over seventy additional problems on rank: the matrix rank is an important and rich topic with connections to many aspects of linear algebra such as generalized inverses, idempotent matrices and partitioned matrices. This text is aimed primarily at advanced undergraduate and first-year graduate students taking courses in linear algebra, linear models, multivariate analysis and design of experiments. A wealth of exercises, complete with hints and solutions, help to consolidate understanding. Researchers in mathematics and statistics will also find the book a useful source of results and problems. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Matrix theory. |
|
|---|
| Topical term or geographic name as entry element |
Mathematical statistics. |
|
|---|
| Topical term or geographic name as entry element |
Economics |
| General subdivision |
Statistics. |
|
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Linear and Multilinear Algebras, Matrix Theory. |
|
|---|
| Topical term or geographic name as entry element |
Statistical Theory and Methods. |
|
|---|
| Topical term or geographic name as entry element |
Statistics for Business/Economics/Mathematical Finance/Insurance. |
| 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 |
9781447127383 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-1-4471-2739-0 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
E-Book |
