Linear Algebra and Matrices
Language: English
Published by Society for Industrial and Applied Mathematics,U.S., US, 2018
- Softcover
- New
Seller: Rarewaves.com USA, London, London, United KingdomRarewaves.com USA
AbeBooks seller since June 11, 2025
Condition: New
£ 70.50
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Add to basketItem description from seller
This introductory textbook grew out of several courses in linear algebra given over more than a decade and includes such helpful material as:constructive discussions about the motivation of fundamental conceptsmany worked-out problems in each chapter, andtopics rarely covered in typical linear algebra textbooks.The authors use abstract notions and arguments to give the complete proof of the Jordan canonical form and, more generally, the rational canonical form of square matrices over fields. They also provide the notion of tensor products of vector spaces and linear transformations. Matrices are treated in depth, with coverage of the stability of matrix iterations, the eigenvalue properties of linear transformations in inner product spaces, singular value decomposition, and min-max characterizations of Hermitian matrices and nonnegative irreducible matrices. The authors show the many topics and tools encompassed by modern linear algebra to emphasize its relationship to other areas of mathematics.…
Seller Inventory # LU-9781611975130
- Title
- Linear Algebra and Matrices
- Author
- Mohsen Aliabadi, Shmuel Friedland
- Publisher
- Society for Industrial and Applied Mathematics,U.S., US
- Publication year
- 2018
- Condition
- New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1611975131
- ISBN 13
- 9781611975130
- Item weight
- 638 grams
- constructive discussions about the motivation of fundamental concepts
- many worked-out problems in each chapter, and
- topics rarely covered in typical linear algebra textbooks.
-
-
The authors use abstract notions and arguments to give the complete proof of the Jordan canonical form and, more generally, the rational canonical form of square matrices over fields. They also provide the notion of tensor products of vector spaces and linear transformations. Matrices are treated in depth, with coverage of the stability of matrix iterations, the eigenvalue properties of linear transformations in inner product spaces, singular value decomposition, and min-max characterizations of Hermitian matrices and nonnegative irreducible matrices. The authors show the many topics and tools encompassed by modern linear algebra to emphasize its relationship to other areas of mathematics.
-
"Synopsis" may belong to another edition of this title.
About the Author
Mohsen Aliabadi received his M.Sc. in Pure Mathematics from the Department of Mathematical Science, Sharif University of Technology, Tehran, in 2012. Currently, he is a Ph.D. student under the supervision of Professor Shmuel Friedland and is a teaching assistant in the Department of Mathematics, Statistics, and Computer Science at the University of Illinois at Chicago. His interests include combinatorial optimization, matrix and operator theory, graph theory, and field theory. He has authored six papers.
"About the title" may belong to another edition of this title.
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