Linear Algebra Done Right pdf epub mobi txt 电子书下载 2025

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出版者:Springer

作者:Sheldon Axler

出品人:

页数:268

译者:

出版时间:1997-7-18

价格:USD 44.95

装帧:Paperback

isbn号码:9780387982588

丛书系列:Undergraduate Texts in Mathematics

图书标签:

数学
线性代数
Algebra
Mathematics
LinearAlgebra
教材
代数
经典
线性代数
矩阵
向量空间
特征值
线性变换
内积空间
正交性
奇异值分解
几何解释
证明导向

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具体描述

This text for a second course in linear algebra, aimed at math majors and graduates, adopts a novel approach by banishing determinants to the end of the book and focusing on understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space has an eigenvalue. The book starts by discussing vector spaces, linear independence, span, basics, and dimension. Students are introduced to inner-product spaces in the first half of the book and shortly thereafter to the finite- dimensional spectral theorem. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition features new chapters on diagonal matrices, on linear functionals and adjoints, and on the spectral theorem; some sections, such as those on self-adjoint and normal operators, have been entirely rewritten; and hundreds of minor improvements have been made throughout the text.