Linear Algebra Done Right
Sheldon Axler(Author)
Springer (Publisher)
Published on 29. November 1995
Book
Hardback
XVII, 238 pages
978-0-387-94595-8 (ISBN)
Article exhausted; check for reprint
Description
This text is intended for a second course in linear algebra aimed at students interested in pursuing mathematics; it would thus follow a general course on matrices and computations. The approach is novel, banishing determinants to the end of the book, and focusing on the central concerns of linear algebra: understanding the structure of a linear map from a vector space onto itself. The existence of eigenvalues on complex vector spaces is proven without use of determinants. The easily grasped concept of an invariant subspace provides motivation for the study of eigenvalues and eigenvectors and leads naturally to the generalized eigenvectors. Here the minimal polynomial plays the dominant role usually played by the characteristic polynomial.
More details
Series
Language
English
Place of publication
NY
United States
Target group
College/higher education
Illustrations
illustrations
Weight
620 gr
ISBN-13
978-0-387-94595-8 (9780387945958)
Schweitzer Classification
Other editions
New editions

Sheldon Axler
Linear Algebra Done Right
Book
07/1997
2nd Edition
Springer
€64.15
Article exhausted; check for reprint
Additional editions
Sheldon Axler
Linear Algebra Done Right
Book
11/1995
Springer
€21.00
Article exhausted; check for reprint
Content
Contents: Vector Spaces, Linear Independence, Span, Basis, Dimension.- Linear Maps, Kernels and Ranges, Invertibility.- Polynomials.- Eigenvalues and Eigenvectors, Invariant Polynomial, Upper-Triangular Matrices, Jordan Forms.- Inner Product Spaces, Orthogonality, Orthogonal Projections.- Linear Operators on Inner-Product Spaces, Adjoints, The Spectral Theorem.