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Titlebook: Linear Algebra; An Introduction to A Robert J. Valenza Textbook 1993 Springer Science+Business Media New York 1993 Algebra.Eigenvalue.Eigen

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樓主
發(fā)表于 2025-3-21 17:11:07 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Linear Algebra
副標(biāo)題An Introduction to A
編輯Robert J. Valenza
視頻videohttp://file.papertrans.cn/587/586250/586250.mp4
叢書名稱Undergraduate Texts in Mathematics
圖書封面Titlebook: Linear Algebra; An Introduction to A Robert J. Valenza Textbook 1993 Springer Science+Business Media New York 1993 Algebra.Eigenvalue.Eigen
描述Based on lectures given at Claremont McKenna College, this text constitutes a substantial, abstract introduction to linear algebra. The presentation emphasizes the structural elements over the computational - for example by connecting matrices to linear transformations from the outset - and prepares the student for further study of abstract mathematics. Uniquely among algebra texts at this level, it introduces group theory early in the discussion, as an example of the rigorous development of informal axiomatic systems.
出版日期Textbook 1993
關(guān)鍵詞Algebra; Eigenvalue; Eigenvector; Matrix; Permutation; homomorphism; linear algebra; matrix theory
版次1
doihttps://doi.org/10.1007/978-1-4612-0901-0
isbn_softcover978-1-4612-6940-3
isbn_ebook978-1-4612-0901-0Series ISSN 0172-6056 Series E-ISSN 2197-5604
issn_series 0172-6056
copyrightSpringer Science+Business Media New York 1993
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 21:44:01 | 只看該作者
板凳
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Groups and Group Homomorphisms,gross deception. The definition distills millennia of mathematical experience. Another theme also emerges: objects are not nearly so interesting in themselves as the relationships they bear to one another. In the case of groups, these relationships are expressed by group homomorphisms.
地板
發(fā)表于 2025-3-22 07:13:36 | 只看該作者
Representation of Linear Transformations,rix . the transformation.) In passing, we introduce the notion of a . a rich structure that is a hybrid of both vector space and ring. We show that the set of linear transformations from an .-dimensional vector space to itself is in fact isomorphic as a .-algebra to the familiar matrix algebra .(.).
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Determinants,ent of uniqueness and a surprising multiplicative property. [The determinant turns out to be a group homomorphism from GL.(.) to ..] Finally, from this multiplicativity one easily deduces that a square matrix is invertible if and only if its determinant is not zero.
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發(fā)表于 2025-3-22 22:25:07 | 只看該作者
Textbook 1993 the student for further study of abstract mathematics. Uniquely among algebra texts at this level, it introduces group theory early in the discussion, as an example of the rigorous development of informal axiomatic systems.
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發(fā)表于 2025-3-23 03:40:54 | 只看該作者
0172-6056 d prepares the student for further study of abstract mathematics. Uniquely among algebra texts at this level, it introduces group theory early in the discussion, as an example of the rigorous development of informal axiomatic systems.978-1-4612-6940-3978-1-4612-0901-0Series ISSN 0172-6056 Series E-ISSN 2197-5604
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發(fā)表于 2025-3-23 08:34:32 | 只看該作者
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