Advanced linear algebra. Hugo J. Woerdeman.
By: Woerdeman, Hugo J. (Hugo Jan) [author.].
Series: Textbooks in mathematics (Boca Raton, Fla.): Publisher: Boca Raton, Flordia : CRC Press, [2016]Description: xxi 327 pages : illustrations ; 24cm.Content type: text Media type: unmediated Carrier type: volumeISBN: 9781498754033.Subject(s): Algebras, Linear | Algebras, LinearGenre/Form: Print books.Current location | Call number | Status | Date due | Barcode | Item holds |
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On Shelf | QA184.2 .W64 2016 (Browse shelf) | Available | AU0000000004758 |
Browsing Alfaisal University Shelves , Shelving location: On Shelf Close shelf browser
QA184.2 .K65 2014 Elementary linear algebra with applications / | QA184.2.K65 2014 Elementary linear algebra with applications / | QA184.2 .S44 2014 Computational methods of linear algebra / | QA184.2 .W64 2016 Advanced linear algebra. | QA185.D37 M87 2015 Computational and algorithmic linear algebra and n-dimensional geometry / | QA186 .J64 2010 Combinatorics of spreads and parallelisms / | QA188 .H66 2013 Matrix analysis, second edition |
"A Chapman & Hall book."
Includes bibliographical references (pages 323-324) and index.
1. Fields and matrix algegra -- 2. Vector spaces -- 3. Linear transformations -- 4. the Jordan canonical form -- 5. Inner product and normed vector spaces -- 6. Constructing new vector spaces from given ones -- 7. How to use liear algebra -- How to start your own research project -- Answers to exercises.
Advanced Linear Algebra features a student-friendly approach to the theory of linear algebra. The authors emphasis on vector spaces over general fields, with corresponding current applications, sets the book apart. He focuses on finite fields and complex numbers, and discusses matrix algebra over these fields. The text then proceeds to cover vector spaces in depth. Also discussed are standard topics in linear algebra including linear transformations, Jordan canonical form, inner product spaces, spectral theory, and, as supplementary topics, dual spaces, quotient spaces, and tensor products. Written in clear and concise language, the text sticks to the development of linear algebra without excessively addressing applications. A unique chapter on "How to Use Linear Algebra" is offered after the theory is presented. In addition, students are given pointers on how to start a research project. The proofs are clear and complete and the exercises are well designed. In addition, full solutions are included for almost all exercises. --back cover.