
05115260
b
2014b.00599
Robbiano, Lorenzo
Linear algebra for everyone. (Algebra lineare per tutti.)
Unitext 28. La Matematica per il 3 + 2. Milano: Springer (ISBN 9788847004467/pbk). xv, 210~p. (2007).
2007
Milano: Springer
IT
H65
systems of linear equations
matrix
vector space
linear operator
eigenvalue
eigenvector
determinant
textbook
LU factorization
matrix inversion
quadratic forms
scalar products
orthogonality
$QR$ factorizations, algorithms
Gauss method
This is a gentle introduction in linear algebra at the undergraduate level and meant to be used by people with an interest in understanding the basics of this discipline. The material covered in this book is standard: systems of linear equations, operations with matrices, determinant, methods to solve linear systems, quadratic forms, vector spaces and their linear transformations, scalar products, orthogonality, projections, eigenvectors and eigenvalues. In addition, there are many examples and comments on numerical calculations in linear algebra: $LU$ and $QR$ factorizations, algorithms for inverting matrices, Gauss method, and so on. The exercises at the end of each of the eight chapters are mostly refering to calculations, either symbolic or numeric. This book is addressed ``to everybody'' in the sense that the author tries to welcome a large category of people that might find linear algebra useful. In order to illustrate this idea, there are included many ``real life'' examples.
Aurelian Gheondea (Bucure\c sti)