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Universitext Ser.: Linear Algebra and Linear Models by R. B. Bapat (2012, Trade Paperback)

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Linear Algebra and Linear Models, Paperback by Bapat, R. B., ISBN 1447127382, ISBN-13 9781447127383, Like New Used, Free shipping in the US A rigorous and concise introduction to linear algebra, this fully revised and compact third edition adopts the matrix theory perspective so well suited to statistical applications. It covers a host of key topics including rank additivity and singular values.

About this product

Product Identifiers

PublisherSpringer London, The Limited

ISBN-101447127382

ISBN-139781447127383

eBay Product ID (ePID)112574487

Product Key Features

Number of PagesVIII, 167 Pages

Publication NameLinear Algebra and Linear Models

LanguageEnglish

Publication Year2012

SubjectAlgebra / Linear, Probability & Statistics / General, Statistics

TypeTextbook

AuthorR. B. Bapat

Subject AreaMathematics, Business & Economics

SeriesUniversitext Ser.

FormatTrade Paperback

Dimensions

Item Weight16 Oz

Item Length9.3 in

Item Width6.1 in

Additional Product Features

Edition Number3

Intended AudienceScholarly & Professional

ReviewsFrom the book reviews: "The author presents basic ideas and concepts of linear algebra and linear models equally from both theoretical and applications perspectives. ... This book is well presented and structured for an upper level undergraduate course for students of statistics. Further, it can serve as a textbook for an entry-level graduate course. Not only that, it can act as a reference book for practitioners and research statisticians." (Technometrics, Vol. 55 (1), August, 2012)

Dewey Edition23

Number of Volumes1 vol.

IllustratedYes

Dewey Decimal512.5

Table Of ContentVector 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.

SynopsisA rigorous and concise introduction to linear algebra, this fully revised and compact third edition adopts the matrix theory perspective so well suited to statistical applications. It covers a host of key topics including rank additivity and singular values., 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.

LC Classification NumberQA184-205