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Applied Linear Algebra and Matrix Methods

Applied Linear Algebra and Matrix Methods

Hardcover

Series: Springer Undergraduate Texts in Mathematics and Technology

Algebra

Currently unavailable to order

ISBN10: 3031395611
ISBN13: 9783031395611
Publisher: Springer
Published: Nov 25 2023
Pages: 321
Weight: 1.55
Height: 0.90 Width: 5.90 Depth: 9.10
Language: English

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 matrixfactorizations as well as the concepts of eigenvalues and eigenvectors emerge organically from the interplay between matrix computations and geometry.

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Algebra