Linear Algebra and Linear Models (Record no. 100698)

000 -LEADER
fixed length control field 03419nam a22004935i 4500
001 - CONTROL NUMBER
control field 978-1-4471-2739-0
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140220083236.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 120126s2012 xxk| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781447127390
-- 978-1-4471-2739-0
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-1-4471-2739-0
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA184-205
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBF
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT002050
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.5
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Bapat, R.B.
Relator term author.
245 10 - TITLE STATEMENT
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.
264 #1 -
-- London :
-- Springer London :
-- Imprint: Springer,
-- 2012.
300 ## - PHYSICAL DESCRIPTION
Extent VIII, 167 p. 1 illus.
Other physical details online resource.
336 ## -
-- text
-- txt
-- rdacontent
337 ## -
-- computer
-- c
-- rdamedia
338 ## -
-- online resource
-- cr
-- rdacarrier
347 ## -
-- text file
-- PDF
-- rda
490 1# - SERIES STATEMENT
Series statement 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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Matrix theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical statistics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Economics
General subdivision Statistics.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Linear and Multilinear Algebras, Matrix Theory.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Statistical Theory and Methods.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
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
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Universitext,
-- 0172-5939
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-1-4471-2739-0
912 ## -
-- ZDB-2-SMA

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