دانلود کتاب Linjär algebra med geometri

The book begins with an extensive chapter on geometric vectors, lines and planes, and second degree curves. The following sections, dealing with matrices, linear mappings, linear systems of equations, determinants, eigenvalues and eigenvectors, are largely based on this first chapter. Concepts and theorems are illustrated and made plausible as far as possible with geometric interpretations. Two final and completely new chapters deal with base changes, diagonalization and quadratic forms, and provide an introduction to the abstract theory of vector spaces. The book also covers some numerical methods and gives an introduction to singular value decomposition (SVD) and pseudo-inverses.

The book is provided with a large number of solved examples and exercises. Many of the examples are taken from areas where linear algebra is used in practice. The book is mainly aimed at students in the first year of civil engineering and university engineering programs.

The authors, who all teach or have taught at Lulea University of Technology, have extensive experience in teaching mathematics and have contributed as authors to other mathematics textbooks.