The Less Is More Linear Algebra of Vector Spaces and Matrices is popular PDF and ePub book, written by Daniela Calvetti in 2022-11-30, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Less Is More Linear Algebra of Vector Spaces and Matrices can be Read Online from any device for your convenience.
The Less Is More Linear Algebra of Vector Spaces and Matrices Book PDF Summary
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 that 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.
Detail Book of The Less Is More Linear Algebra of Vector Spaces and Matrices PDF
- Author : Daniela Calvetti
- Release : 30 November 2022
- Publisher : SIAM
- ISBN : 9781611977400
- Genre : Mathematics
- Total Page : 181 pages
- Language : English
- PDF File Size : 10,5 Mb
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