Advanced Linear Algebra 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Steven Roman 作者

Springer

译者

2005-4-18 出版日期

504 页数

GBP 42.50 价格

Hardcover

丛书系列

9780387247663 图书编码

Advanced Linear Algebra 在线电子书图书标签: 数学 Algebra 小径分岔的花园 linear algebra Mathematics GTM

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Advanced Linear Algebra 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Advanced Linear Algebra 在线电子书图书描述

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.

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