Drawing on a wide range of mathematical disciplines, including geometry, analysis, applied mathematics and algebra, this book presents an innovative synthesis o

This book is devoted to explaining a wide range of applications of con tinuous symmetry groups to physically important systems of differential equations. Emphas

This Element explores what it means for two theories in physics to be equivalent (or inequivalent), and what lessons can be drawn about their structure as a res

This book details the analysis of continuous- and discrete-time dynamical systems described by differential and difference equations respectively. Differential

The book is a self-contained introduction to the results and methods in classical invariant theory.