Linear Algebra Via Exterior Products by Sergei Winitzki
This is a pedagogical introduction to the coordinate-free approach in basic finite-dimensional linear algebra. The reader should be already exposed to the array-based formalism of vector and matrix calculations. This book makes extensive use of the exterior (anti-commutative, "wedge") product of vectors. The coordinate-free formalism and the exterior product, while somewhat more abstract, provide a deeper understanding of the classical results in linear algebra. Without cumbersome matrix calculations, this text derives the standard properties of determinants, the Pythagorean formula for multidimensional volumes, the formulas of Jacobi and Liouville, the Cayley-Hamilton theorem, the Jordan canonical form, the properties of Pfaffians, as well as some generalizations of these results.| SKU | Unavailable |
| ISBN 13 | 9781409294962 |
| ISBN 10 | 140929496X |
| Title | Linear Algebra Via Exterior Products |
| Author | Sergei Winitzki |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Lulu.com |
| Year published | 2010-01-04 |
| Number of pages | 285 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |