By Elizabeth Louise Mansfield
This publication explains fresh leads to the idea of relocating frames that quandary the symbolic manipulation of invariants of Lie crew activities. particularly, theorems in regards to the calculation of turbines of algebras of differential invariants, and the family members they fulfill, are mentioned intimately. the writer demonstrates how new rules result in major development in major purposes: the answer of invariant usual differential equations and the constitution of Euler-Lagrange equations and conservation legislation of variational difficulties. The expository language used here's essentially that of undergraduate calculus instead of differential geometry, making the subject extra available to a pupil viewers. extra subtle rules from differential topology and Lie idea are defined from scratch utilizing illustrative examples and routines. This booklet is perfect for graduate scholars and researchers operating in differential equations, symbolic computation, functions of Lie teams and, to a lesser quantity, differential geometry.