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Linear Algebra, Geometry and Transformation.
・ISBN 978-1-4822-9928-1 hard GB£ 124.99
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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-0-429-17089-8
| 著者・編者 | Solomon, Bruce, |
|---|---|
| シリーズ | Textbooks in Mathematics |
| 出版社 | (Chapman & Hall/CRC, US) |
| 出版年月 | 2014 |
| ページ数 | 474 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-12052> |
解説
The Essentials of a First Linear Algebra Course and More
Linear Algebra, Geometry and Transformation provides students with a solid geometric grasp of linear transformations. It stresses the linear case of the inverse function and rank theorems and gives a careful geometric treatment of the spectral theorem.
An Engaging Treatment of the Interplay among Algebra, Geometry, and Mappings
The text starts with basic questions about images and pre-images of mappings, injectivity, surjectivity, and distortion. In the process of answering these questions in the linear setting, the book covers all the standard topics for a first course on linear algebra, including linear systems, vector geometry, matrix algebra, subspaces, independence, dimension, orthogonality, eigenvectors, and diagonalization.
A Smooth Transition to the Conceptual Realm of Higher Mathematics
This book guides students on a journey from computational mathematics to conceptual reasoning. It takes them from simple "identity verification" proofs to constructive and contrapositive arguments. It will prepare them for future studies in algebra, multivariable calculus, and the fields that use them.
Print Versions of this book also include access to the ebook version.