Lectures on Selected Topics in Mathematical Physics - William A. Schwalm
| Автор: | William A. Schwalm |
| Издательство: | Ingram |
| Серия: | IOP Concise Physics |
| Жанр произведения: | Математика |
| Год издания: | 0 |
| isbn: | 9781681744506 |
This book provides an introduction to Lie Theory for first year graduate students and professional physicists who may not have across the theory in their studies. In particular, it is a summary overview of the theory of finite groups, a brief description of a manifold, and then an informal development of the theory of one-parameter Lie groups, especially as they apply to ordinary differential equations. The treatment is informal, but systematic and reasonably self-contained, as it assumes a familiarity with basic physics and applied calculus, but it does not assume additional mathematical training. Interested readers should have a fair chance of finding symmetries of a second order differential equation and should be able to use it to reduce the order of the differential equation.