书目名称 | Linear Algebra | 编辑 | Larry Smith | 视频video | | 丛书名称 | Undergraduate Texts in Mathematics | 图书封面 |  | 描述 | This text is written for a course in linear algebra at the (U.S.) sophomore undergraduate level, preferably directly following a one-variable calculus course, so that linear algebra can be used in a course on multidimensional calculus. Realizing that students at this level have had little contact with complex numbers or abstract mathematics the book deals almost exclusively with real finite-dimensional vector spaces in a setting and formulation that permits easy generalization to abstract vector spaces. The parallel complex theory is developed in the exercises. The book has as a goal the principal axis theorem for real symmetric transformations, and a more or less direct path is followed. As a consequence there are many subjects that are not developed, and this is intentional. However a wide selection of examples of vector spaces and linear trans formations is developed, in the hope that they will serve as a testing ground for the theory. The book is meant as an introduction to linear algebra and the theory developed contains the essentials for this goal. Students with a need to learn more linear algebra can do so in a course in abstract algebra, which is the appropriate setting. | 出版日期 | Textbook 19781st edition | 关键词 | Eigenvalue; Eigenvector; Lineare Algebra; Vector space; adopted textbook; algebra; calculus; complex number | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4615-9995-1 | isbn_softcover | 978-1-4615-9997-5 | isbn_ebook | 978-1-4615-9995-1Series ISSN 0172-6056 Series E-ISSN 2197-5604 | issn_series | 0172-6056 | copyright | Springer-Verlag, New York Inc. 1978 |
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