Linear Algebra Done Right
fourth edition
Author:Sheldon Axler
Translators:吴俊达(Oliver Wu)、何阳(He Yang)
We are happy to share with you our Chinese translation of the fourth edition of Linear Algebra Done Right as an Open Access book. The electronic version of this translation with a Creative Commons BY-NC license is available without cost at the links below. (If one of the links doesn't work, just try the others.)
-
PDF file for the Chinese translation of Linear Algebra Done Right, fourth edition
(30 November 2024, CST) - Link to BaiduNetDisk (Download Code: 0430; 6 November 2024, CST)
There is no print version of the translation. You can print it yourself if necessary, but you cannot sell either the printed version or the electronic version, as specified by the NC (NonCommercial) part of the copyright license.
About the Book
For more information about the English version, see the author's page. According to that page, the main features and topics of this book are as follows:
The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra.The major improvements and additions (compared to the previous edition) are:
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. The book then deals with linear maps, eigenvalues, and eigenvectors. Inner product spaces are then introduced, leading to the finite-dimensional spectral theorem and its consequences such as the singular value decomposition. Generalized eigenvectors are then used to provide insight into the structure of a linear operator. Determinants are cleanly introduced via alternating multilinear forms.
The fourth edition of Linear Algebra Done Right contains over 250 new exercises and over 70 new examples, along with several new topics and multiple improvements throughout the book. See page xvi in the PDF file for the English version (corresponding to page xi in the PDF file for the Chinese version) for a list of major improvements and additions in the fourth edition.It's hoped that our translation will help you to overcome the "language barrier" and attain a deep understanding of vector spaces and linear maps.
Comments or suggestions about the translation of the fourth edition of Linear Algebra Done Right can be sent to the translators at [email protected].
Click here for the Errata.
Related Links