| Title | : | Essential Linear Algebra with Applications |
|---|---|---|
| Author | : | Titu Andreescu |
| Release | : | 2014-10-14 |
| Kind | : | ebook |
| Genre | : | Mathematics, Books, Science & Nature, Professional & Technical, Engineering, Computers & Internet, Computers |
| Size | : | 9080867 |
| This textbook provides a rigorous introduction to linear algebra in addition to material suitable for a more advanced course while emphasizing the subject’s interactions with other topics in mathematics such as calculus and geometry. A problem-based approach is used to develop the theoretical foundations of vector spaces, linear equations, matrix algebra, eigenvectors, and orthogonality. Key features include: • a thorough presentation of the main results in linear algebra along with numerous examples to illustrate the theory; • over 500 problems (half with complete solutions) carefully selected for their elegance and theoretical significance; • an interleaved discussion of geometry and linear algebra, giving readers a solid understanding of both topics and the relationship between them. Numerous exercises and well-chosen examples make this text suitable for advanced courses at the junior or senior levels. It can also serve as a source of supplementary problems for a sophomore-level course. |
