The Less Is More Linear Algebra of Vector Spaces and Matrices
Language: English
Published by Society for Industrial and Applied Mathematics,U.S., US, 2023
- Softcover
- New
Seller: Rarewaves.com USA, London, London, United KingdomRarewaves.com USA
AbeBooks seller since June 11, 2025
Condition: New
£ 60.98
Quantity: 3 available
Add to basketItem description from seller
Designed for a proof-based course on linear algebra, this rigorous and concise textbook intentionally introduces vector spaces, inner products, and vector and matrix norms before Gaussian elimination and eigenvalues so students can quickly discover the singular value decomposition (SVD)-arguably the most enlightening and useful of all matrix factorizations. Gaussian elimination is then introduced after the SVD and the four fundamental subspaces and is presented in the context of vector spaces rather than as a computational recipe. This allows the authors to use linear independence, spanning sets and bases, and the four fundamental subspaces to explain and exploit Gaussian elimination and the LU factorization, as well as the solution of overdetermined linear systems in the least squares sense and eigenvalues and eigenvectors. This unique textbook also includes examples and problems focused on concepts rather than the mechanics of linear algebra. The problems at the end of each chapter and in an associated website encourage readers to explore how to use the notions introduced in the chapter in a variety of ways. Additional problems, quizzes, and exams will be posted on an accompanying website and updated regularly. The Less Is More Linear Algebra of Vector Spaces and Matrices is for students and researchers interested in learning linear algebra who have the mathematical maturity to appreciate abstract concepts that generalize intuitive ideas. The early introduction of the SVD makes the book particularly useful for those interested in using linear algebra in applications such as scientific computing and data science. It is appropriate for a first proof-based course in linear algebra.…
Seller Inventory # LU-9781611977394
- Title
- The Less Is More Linear Algebra of Vector Spaces and Matrices
- Author
- Daniela Calvetti, Erkki Somersalo
- Publisher
- Society for Industrial and Applied Mathematics,U.S., US
- Publication year
- 2023
- Condition
- New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1611977398
- ISBN 13
- 9781611977394
- Item weight
- 272 grams
This unique textbook also includes examples and problems focused on concepts rather than the mechanics of linear algebra. The problems at the end of each chapter and in an associated website encourage readers to explore how to use the notions introduced in the chapter in a variety of ways. Additional problems, quizzes, and exams will be posted on an accompanying website and updated regularly.
The Less Is More Linear Algebra of Vector Spaces and Matrices is for students and researchers interested in learning linear algebra who have the mathematical maturity to appreciate abstract concepts that generalize intuitive ideas. The early introduction of the SVD makes the book particularly useful for those interested in using linear algebra in applications such as scientific computing and data science. It is appropriate for a first proof-based course in linear algebra.
"Synopsis" may belong to another edition of this title.
About the Author
Erkki Somersalo is a professor in the Department of Mathematics, Applied Mathematics, and Statistics at Case Western Reserve University. With a background in analysis and partial differential equations, his main areas of interest include computational inverse problems, with an emphasis on Bayesian methods and applications to a wide range of areas, particularly medical imaging. He is working on mathematical modeling of complex biological systems. He is a founding member of the Finnish Inverse Problems Society, a member of the Finnish Academy of Sciences and Letters, and a fellow of the Institute of Physics, UK.
"About the title" may belong to another edition of this title.
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