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＜電子ブック＞
Applied Linear Algebra and Matrix Methods / by Timothy G. Feeman
(Springer Undergraduate Texts in Mathematics and Technology. ISSN:18675514)

版	1st ed. 2023.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2023
本文言語	英語
大きさ	XIII, 321 p. 44 illus., 2 illus. in color : online resource
著者標目	*Feeman, Timothy G author SpringerLink (Online service)
件　名	LCSH:Algebras, Linear FREE:Linear Algebra
一般注記	Introduction -- 1. Vectors -- 2. Matrices -- 3. Matrix Contexts -- 4. Linear Systems -- 5. Least Squares and Matrix Geometry. 6. Orthogonal Systems -- 7. Eigenvalues -- 8. Markov Processes -- 9. Symmetric Matrices -- 10. Singular Value Decomposition -- 11. Function Spaces.-Bibliography.-Index This textbook is designed for a first course in linear algebra for undergraduate students from a wide range of quantitative and data driven fields. By focusing on applications and implementation, students will be prepared to go on to apply the power of linear algebra in their own discipline. With an ever-increasing need to understand and solve real problems, this text aims to provide a growing and diverse group of students with an applied linear algebra toolkit they can use to successfully grapple with the complex world and the challenging problems that lie ahead. Applications such as least squares problems, information retrieval, linear regression, Markov processes, finding connections in networks, and more, are introduced on a small scale as early as possible and then explored in more generality as projects. Additionally, the book draws on the geometry of vectors and matrices as the basis for the mathematics, with the concept of orthogonality taking center stage. Important matrix factorizations as well as the concepts of eigenvalues and eigenvectors emerge organically from the interplay between matrix computations and geometry. The R files are extra and freely available. They include basic code and templates for many of the in-text examples, most of the projects, and solutions to selected exercises. As much as possible, data sets and matrix entries are included in the files, thus reducing the amount of manual data entry required. HTTP:URL=https://doi.org/10.1007/978-3-031-39562-8

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