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

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出版者:Springer Verlag

作者:Sheldon Axler

出品人:

页数:268

译者:

出版时间:1997-7

价格:$ 90.34

装帧:HRD

isbn号码:9780387982595

丛书系列:Undergraduate Texts in Mathematics

图书标签:

青衣
荃灣
將軍澳
线性代数
抽象代数
数学分析
向量空间
矩阵
线性变换
内积空间
特征值
谱定理
算子理论

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具体描述

This text for a second course in linear algebra is aimed at math majors and graduate students. The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: 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 (or an odd-dimensional real vector space) has an eigenvalue. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. No prerequisites are assumed other than the usual demand for suitable mathematical maturity. Thus, the text starts by discussing vector spaces, linear independence, span, basis, 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. This second edition includes a new section on orthogonal projections and minimization problems. The sections on self-adjoint operators, normal operators, and the spectral theorem have been rewritten. New examples and new exercises have been added, several proofs have been simplified, and hundreds of minor improvements have been made throughout the text.

作者简介

Sheldonc Axler,11975年毕业于加州大学伯克利分校,1现为旧金山州立大学理工学院院长.a《美国数学月刊》的编委,1MathematicalcIntelligencer主编,1同时还是Springer的GTM研究生数学教材系列等多个系列丛书的主编。

目录信息

读后感

评分☆☆☆☆☆

现在回头看，其实就是早先国内教法僵化，赶不上时代了，这本书又恰巧被引进过来，所以显得弥足珍贵。 ------------------------------------------------------------------- 给大学新生上的线性代数和高等数学课，也许是为了侧重灌输实用知识，教给学生的更多是一堆眼花缭乱的...

评分☆☆☆☆☆

毕业已有许多年，此次因为某些原因，重拾线性代数，有幸读到这本书。本书强调本质和动机，从另外一个角度诠释了线性代数，读过之后不但知其然，更加知其所以然。一般的书中只会教你如何把矩阵化成上三角阵，而这本书则会告诉你上三角阵的真正含义是什么。虽然矩阵与行列式是被...

评分☆☆☆☆☆

这本书从一开始就在云端筑屋吾等凡辈找不着梯子啊找不着梯子～于是看到第二章后再也坚持不住去看 David C. Lay 的 Linear Algebra and Its Applications了呵呵等忙完了这阵再回来看

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