دانلود کتاب بردار گیبریش

This little booklet grows out of some short scraps of notes and essays, with the main texts written back in my college years at Tj. The intended readers are undergraduates. Hopefully this small collection of basic (some are nevertheless important) results can be helpful (or at least not misleading) or even illuminating. Though even within the rather limited scope of this book, I didn’t give full derivations for most of the results, and in most topics I barely scratched the surface. A silly presentation can, perhaps (when the standard texts are much too serious), still have some values, and it’s actually an effective way to grasp things through identifing the mistakes. The materials we are going to explore, as the title indicates, all have something to do with “vectors”, not just vectors in the 3D Cartesian space, but also more abtract ones, such as a linear approxiamtion. Indeed, the linear regime is usually the only part of science that is under theoretical control and thus of fundamental importance. Had I had more energy, I would also include linear response and fluctuation-dissipation relation. A free book on linear algebra, an explanation. Indeed, I have wasted so much time here. A suggestion for LATEX practitioners: use the package blindtext, lipsum, etc.