| 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 | .Linear Algebra Through Geometry. introduces the concepts of linear algebra through the careful study of two and three-dimensional Euclidean geometry. This approach makes it possible to start with vectors, linear transformations, and matrices in the context of familiar plane geometry and to move directly to topics such as dot products, determinants, eigenvalues, and quadratic forms. The later chapters deal with n-dimensional Euclidean space and other finite-dimensional vector space. Topics include systems of linear equations in n variable, inner products, symmetric matrices, and quadratic forms. The final chapter treats application of linear algebra to differential systems, least square approximations and curvature of surfaces in three spaces. The only prerequisite for reading this book (with the exception of one section on systems of differential equations) are high school geometry, algebra, and introductory trigonometry. | | 出版日期 | Textbook 1992Latest edition | | 关键词 | Eigenvalue; Lineare Algebra; Matrix; algebra; linear algebra; matrix theory | | 版次 | 2 | | doi | https://doi.org/10.1007/978-1-4612-4390-8 | | isbn_softcover | 978-1-4612-8752-0 | | isbn_ebook | 978-1-4612-4390-8Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer-Verlag New York, Inc. 1992 |
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发表于 2025-3-21 19:33:51
