| 书目名称 | Introduction to Linear and Matrix Algebra | | 编辑 | Nathaniel Johnston | | 视频video | | | 概述 | Motivates the study of linear algebra by exploring the interplay between algebra and geometry.Engages readers with a visual approach that uses color to enhance both content and learning.Features a wid | | 图书封面 |  | | 描述 | .This textbook emphasizes the interplay between algebra and geometry to motivate the study of linear algebra. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book. By focusing on this interface, the author offers a conceptual appreciation of the mathematics that is at the heart of further theory and applications. Those continuing to a second course in linear algebra will appreciate the companion volume .Advanced Linear and Matrix Algebra.. .Starting with an introduction to vectors, matrices, and linear transformations, the book focuses on building a geometric intuition of what these tools represent. Linear systems offer a powerful application of the ideas seen so far, and lead onto the introduction of subspaces, linear independence, bases, and rank. Investigation then focuses on the algebraic properties of matrices that illuminate the geometry of the linear transformations that they represent. Determinants, eigenvalues, and eigenvectors all benefit from this geometric viewpoint. Throughout, “Extra Topic” sections augment the core content with a wide range of ideas and applications, from linear | | 出版日期 | Textbook 2021 | | 关键词 | First course in linear algebra textbook; Linear algebra textbook; Matrix algebra textbook; Linear algeb | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-52811-9 | | isbn_softcover | 978-3-030-52813-3 | | isbn_ebook | 978-3-030-52811-9 | | copyright | Springer Nature Switzerland AG 2021 |
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发表于 2025-3-21 18:46:13
