Universitext

Linear Algebra and Linear Models

Authors: Bapat, Ravindra B.

  • Provides a concise and rigorous introduction to linear algebra from the matrix theory viewpoint which is well-suited for statistical applications
  • Offers a compact introduction to estimation and testing in linear models covering the basic results required for further studies in linear models, multivariate analysis and design of experiments
  • Contains a large number of exercises, including over seventy five problems on rank, with hints and solutions
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eBook $34.99
price for USA (gross)
  • ISBN 978-1-4471-2739-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA
  • ISBN 978-1-4471-2738-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this Textbook

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.

Reviews

From 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)


Table of contents (13 chapters)

Buy this book

eBook $34.99
price for USA (gross)
  • ISBN 978-1-4471-2739-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA
  • ISBN 978-1-4471-2738-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Linear Algebra and Linear Models
Authors
Series Title
Universitext
Copyright
2012
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London Limited
Distribution Rights
Exclusive distribution rights in India: Hindustan Book Agency
eBook ISBN
978-1-4471-2739-0
DOI
10.1007/978-1-4471-2739-0
Softcover ISBN
978-1-4471-2738-3
Series ISSN
0172-5939
Edition Number
3
Number of Pages
VIII, 167
Number of Illustrations and Tables
1 b/w illustrations
Additional Information
Jointly published with Hindustan Book Agency, New Delhi, India. Originally published by Hindustan Book Agency, New Delhi, India
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