10% off all books and free delivery over £50
Buy from our bookstore and 25% of the cover price will be given to a school of your choice to buy more books. *15% of eBooks.

Linear Algebra Done Right

View All Editions (2)

The selected edition of this book is not available to buy right now.
Add To Wishlist
Write A Review

About

Linear Algebra Done Right Synopsis

Now available in Open Access, this best-selling textbook for a second course in linear algebra is aimed at undergraduate math majors and graduate students. The fourth edition gives an expanded treatment of the singular value decomposition and its consequences. It includes a new chapter on multilinear algebra, treating bilinear forms, quadratic forms, tensor products, and an approach to determinants via alternating multilinear forms. This new edition also increases the use of the minimal polynomial to provide cleaner proofs of multiple results. Also, over 250 new exercises have been added.

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 simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. Beautiful formatting creates pages with an unusually student-friendly appearance in both print and electronic versions.

No prerequisites are assumed other than the usual demand for suitable mathematical maturity. 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 introduced, leading to the finite-dimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator.

From the reviews of previous editions:

Altogether, the text is a didactic masterpiece. - zbMATH

The determinant-free proofs are elegant and intuitive. - American Mathematical Monthly

The most original linear algebra book to appear in years, it certainly belongs in every undergraduate library - CHOICE



About This Edition

ISBN: 9783031410253
Publication date:
Author: Sheldon Jay Axler
Publisher: Springer an imprint of Springer International Publishing
Format: Hardback
Pagination: 390 pages
Series: Undergraduate Texts in Mathematics
Genres: Algebra