| 书目名称 | Linear Algebra |
| 编辑 | Belkacem Said-Houari |
| 视频video | |
| 概述 | Provides the necessary material clearly, self-contained, provides important exercises with detailed solutions.Includes a set of exercises at the end of each chapter.Detailed solutions to exercises are |
| 丛书名称 | Compact Textbooks in Mathematics |
| 图书封面 |  |
| 描述 | .This self-contained, clearly written textbook on linear algebra is easily accessible for students. It begins with the simple linear equation and generalizes several notions from this equation for the system of linear equations and introduces the main ideas using matrices. It then offers a detailed chapter on determinants and introduces the main ideas with detailed proofs. The third chapter introduces the Euclidean spaces using very simple geometric ideas and discusses various major inequalities and identities. These ideas offer a solid basis for understanding general Hilbert spaces in functional analysis. The following two chapters address general vector spaces, including some rigorous proofs to all the main results, and linear transformation: areas that are ignored or are poorly explained in many textbooks. Chapter 6 introduces the idea of matrices using linear transformation, which is easier to understand than the usual theory of matrices approach. The final two chapters are more advanced, introducing the necessary concepts of eigenvalues and eigenvectors, as well as the theory of symmetric and orthogonal matrices. Each idea presented is followed by examples. .The book includes |
| 出版日期 | Textbook 2017 |
| 关键词 | matrix algebra; linear algebra; eigenvalues; orthogonal matrices; symmetric matrices; matrix theory |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-63793-8 |
| isbn_softcover | 978-3-319-63792-1 |
| isbn_ebook | 978-3-319-63793-8Series ISSN 2296-4568 Series E-ISSN 2296-455X |
| issn_series | 2296-4568 |
| copyright | Springer International Publishing AG 2017 |
发表于 2025-3-21 16:09:59
