| 书目名称 | Linear Algebra Through Geometry | | 编辑 | Thomas Banchoff,John Wermer | | 视频video | | | 丛书名称 | Undergraduate Texts in Mathematics | | 图书封面 |  | | 描述 | In this book we lead the student to an understanding of elementary linear algebra by emphasizing the geometric significance of the subject. Our experience in teaching beginning undergraduates over the years has convinced us that students learn the new ideas of linear algebra best when these ideas are grounded in the familiar geometry of two and three dimensions. Many important notions of linear algebra already occur in these dimensions in a non-trivial way, and a student with a confident grasp of these ideas will encounter little difficulty in extending them to higher dimensions and to more abstract algebraic systems. Moreover, we feel that this geometric approach provides a solid basis for the linear algebra needed in engineering, physics, biology, and chemistry, as well as in economics and statistics. The great advantage of beginning with a thorough study of the linear algebra of the plane is that students are introduced quickly to the most important new concepts while they are still on the familiar ground of two-dimensional geometry. In short order, the student sees and uses the notions of dot product, linear transformations, determinants, eigenvalues, and quadratic forms. This | | 出版日期 | Textbook 19831st edition | | 关键词 | Abstract algebra; Eigenvalue; Lineare Algebra; algebra; biology; chemistry; form; geometry; linear algebra; q | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4684-0161-5 | | isbn_ebook | 978-1-4684-0161-5Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer-Verlag New York, Inc. 1983 |
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发表于 2025-3-21 19:49:02
