Linear algebra done right
Axler, Sheldon
creator
author
text
nyu
New Delhi
Springer
2013
1997
2nd ed.
monographic
eng
xv, 251 pages : illustrations ; 24 cm.
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.
1. Vector spaces --
2. Finite-dimensional vector spaces --
3. Linear maps --
4. Polynomials --
5. Eigenvalues and eigenvectors --
6. Inner-product spaces --
7. Operators on inner-product spaces --
8. Operators on complex vector spaces --
9. Operators on real vector spaces --
10. Trace and determinant.
Sheldon Axler.
Includes indexes.
Linear algebras
512.5 Ax969
Undergraduate texts in mathematics
9788184895322
ISI Library
970411
20170718123431.0
C26541