Contents: Preface. 1. Basic notions. 2. Systematic of linear equations. 3. Matrics. 4. Determinants. 5. Introduction to spectral theory. 6. Inner product spaces. 7. Structure of operators in inner product spaces. 8. Bilinear and quadratic forms. 9. Advanced spectral theory. 10. Linear transformations.
“Linear Algebra is the heart of applied science but there are divergent views concerning its meaning. The field of Linear Algebra is more beautiful and more fundamental than its rather dull name may suggest. More beautiful because it is full of powerful ideas that are quite unlike those normally emphasized in a linear algebra course in a mathematics department. Throughout the book the author follows the practice of first presenting required background material, which is then used to develop the results.
The book is divided in ten chapters. Relevant material is included in each chapter from other sources improves readability and makes the presentation “self-contained” to a large extent. All the examples have been completely solved.
The subject matter has been discussed in such a simple way that the students will find no difficulty to understand it. The students should first try to understand the theorems and then they should try to solve the questions independently.” (jacket)