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题名/责任者:

Linear Algebra by Jörg Liesen, Volker Mehrmann.

版本说明:

1st ed. 2015.

出版发行项:

Cham : Springer International Publishing : Imprint: Springer, 2015.

ISBN:

9783319243467

其它标准号:

10.1007/978-3-319-24346-7

载体形态项:

XI, 324 p. 22 illus. online resource.

主文献:

Springer Nature eBook

其他载体形态:

Printed edition: 9783319243443

其他载体形态:

Printed edition: 9783319243450

丛编说明:

Springer Undergraduate Mathematics Series, 1615-2085

丛编统一题名:

Springer Undergraduate Mathematics Series,

个人责任者:

Liesen, Jörg. author.

附加个人名称:

Mehrmann, Volker. author.

附加团体名称:

SpringerLink (Online service)

论题主题:

Matrix theory.

论题主题:

Algebra.

论题主题:

Linear and Multilinear Algebras, Matrix Theory.

内容附注:

Linear Algebra in every day life -- Basic mathematical concepts -- Algebraic structures -- Matrices -- The echelon form and the rank of matrices -- Linear systems of equations -- Determinants of matrices -- The characteristic polynomial and eigenvalues of matrices -- Vector spaces -- Linear maps -- Linear forms and bilinear forms -- Euclidean and unitary vector spaces -- Adjoints of linear maps -- Eigenvalues of endomorphisms -- Polynomials and the Fundamental Theorem of Algebra -- Cyclic subspaces, duality and the Jordan canonical form -- Matrix functions and systems of differential equations -- Special classes of endomorphisms -- The singular value decomposition -- The Kronecker product and linear matrix equations.

摘要附注:

This self-contained textbook takes a matrix-oriented approach to linear algebra and presents a complete theory, including all details and proofs, culminating in the Jordan canonical form and its proof. Throughout the development, the applicability of the results is highlighted. Additionally, the book presents special topics from applied linear algebra including matrix functions, the singular value decomposition, the Kronecker product and linear matrix equations. The matrix-oriented approach to linear algebra leads to a better intuition and a deeper understanding of the abstract concepts, and therefore simplifies their use in real world applications. Some of these applications are presented in detailed examples. In several ‘MATLAB-Minutes’ students can comprehend the concepts and results using computational experiments. Necessary basics for the use of MATLAB are presented in a short introduction. Students can also actively work with the material and practice their mathematical skills in more than 300 exercises.

电子资源:

https://doi.org/10.1007/978-3-319-24346-7

豆瓣简介：