Advanced Linear Algebra 2024 pdf epub mobi 電子書 下載


Advanced Linear Algebra

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This is a graduate textbook covering an especially broad range of topics. The first part of the book contains a careful but rapid discussion of the basics of linear algebra, including vector spaces, linear transformations, quotient spaces, and isomorphism theorems. The author then proceeds to modules, emphasizing a comparison with vector spaces. A thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory follows, culminating in the finite dimensional spectral theorem for normal operators. The second part of the book is a collection of topics, including metric vector spaces, metric spaces, Hilbert spaces, tensor products, and affine geometry. The last chapter discusses the umbral calculus, an area of modern algebra with important applications.The second edition contains two new chapters: a chapter on convexity, separation and positive solutions to linear systems and a chapter on the QR decomposition, singular values and pseudoinverses. The treatments of tensor products and the umbral calculus have been greatly expanded and there is now a discussion of determinants (in the chapter on tensor products), the complexification of a real vector space, Schur's lemma and Gersgorin disks.

Advanced Linear Algebra 2024 pdf epub mobi 電子書 下載

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Advanced Linear Algebra 2024 pdf epub mobi 電子書 下載

Advanced Linear Algebra 2024 pdf epub mobi 電子書 下載

Advanced Linear Algebra 2024 pdf epub mobi 電子書 下載



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出版者:Springer
作者:Steven Roman
出品人:
頁數:504
譯者:
出版時間:2005-4-18
價格:GBP 42.50
裝幀:Hardcover
isbn號碼:9780387247663
叢書系列:

圖書標籤: 數學  Algebra  小徑分岔的花園  linear  algebra  Mathematics  GTM   


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