| 书目名称 | Linear Algebra | | 编辑 | M. Thamban Nair,Arindama Singh | | 视频video | | | 概述 | Presents Gaussian elimination and the Gauss–Jordan elimination process.Elaborates on the use of projection operators due to their importance in applications.Discusses solvability of linear equations a | | 图书封面 |  | | 描述 | .This book introduces the fundamental concepts, techniques and results of linear algebra that form the basis of analysis, applied mathematics and algebra. Intended as a text for undergraduate students of mathematics, science and engineering with a knowledge of set theory, it discusses the concepts that are constantly used by scientists and engineers. It also lays the foundation for the language and framework for modern analysis and its applications. .Divided into seven chapters, it discusses vector spaces, linear transformations, best approximation in inner product spaces, eigenvalues and eigenvectors, block diagonalisation, triangularisation, Jordan form, singular value decomposition, polar decomposition, and many more topics that are relevant to applications. The topics chosen have become well-established over the years and are still very much in use. The approach is both geometric and algebraic. It avoids distraction from the main theme by deferring the exercises to theend of each section. These exercises aim at reinforcing the learned concepts rather than as exposing readers to the tricks involved in the computation. Problems included at the end of each chapter are relatively a | | 出版日期 | Textbook 2018 | | 关键词 | Vector Spaces; Linear Transformations; Elementary Operations; Inner Product Spaces; Eigenvalues; Block Di | | 版次 | 1 | | doi | https://doi.org/10.1007/978-981-13-0926-7 | | isbn_softcover | 978-981-13-4533-3 | | isbn_ebook | 978-981-13-0926-7 | | copyright | Springer Nature Singapore Pte Ltd. 2018 |
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发表于 2025-3-21 17:37:02
