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关键词:
Linear Algebra Done Right
书目信息
ISBN:
9780387982588(13位)
中图分类号:
O1
杜威分类号:
中文译名:
正确理解线性代数
作者:
Axler
编者:
语种:
English
出版信息
出版社:
Springer
出版地:
出版年:
2004
版本:
2nd ed. 1997. Corr. 7th printing
版本类型:
原版
丛书题名:
Undergraduate Texts in Mathematics
卷期:
文献信息
关键词:
Mathematics
前言:
摘要:
内容简介:
16This 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 secti 16 ons, such as those on self-adjoint and normal operators, have been entirely rewritten; and hundreds of minor improvements have been made throughout the text. 04From the contents:Vector SpacesFinite-Dimensional Vector SpacesLinear MapsPolynomialsEigenvalues and Eigenvectors. Inner-Product SpacesOperators on Inner-Product Spaces. Operators on Complex Vector SpacesOperators on Real Vector SpacesTrace and Determinant
目次:
Vector Spaces.- Finite-Dimensional Vector Spaces.- Linear Maps.- Polynomials.- Eigenvalues and Eigenvectors.- Inner-Product Spaces.- Operators on Inner-Product Spaces.- Operators on Complex Vector Spaces.- Operators on Real Vector Spaces.- Trace and Determinant.- Symbol Index.- Index.
附录:
全文链接:
读者对象:
undergrad.
实体信息
页码:
装帧:
soft
尺寸:
其它形态细节:
其它信息
原价:
EUR
34.9500
原版ISBN:
其它ISBN:
图书特色:
书评:
扩展信息
Isbn:
0387982582
issue:
2006JC01
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