The framework of 'symmetry' provides an important route between the abstract theory and experimental observations. The book applies symmetry methods to dynamical systems, focusing on bifurcation and chaos theory. Its exposition is organized around a wide variety of relevant applications.
From the reviews:
" The] rich collection of examples makes the book...extremely useful for motivation and for spreading the ideas to a large Community."--MATHEMATICAL REVIEWS
The framework of 'symmetry' provides an important route between the abstract theory and experimental observations. The book applies symmetry method...
This book aims to present to first and second year graduate students a beautiful and relatively accessible field of mathematics-the theory of singu- larities of stable differentiable mappings. The study of stable singularities is based on the now classical theories of Hassler Whitney, who determined the generic singularities (or lack of them) of Rn Rm (m 2n - 1) and R2 R2, and Marston Morse, for mappings who studied these singularities for Rn R. It was Rene Thorn who noticed (in the late '50's) that all of these results could be incorporated into one theory. The 1960 Bonn notes of Thom and...
This book aims to present to first and second year graduate students a beautiful and relatively accessible field of mathematics-the theory of singu- l...
