Paradigms of the Large-Scale Universe

Dynamical systems provide powerful methods for the study of profound properties of many-dimensional nonlinear systems. In this unique book the authors offer a consistent geometrical treatment of observational cosmology from the concepts of the theory of dynamical systems. The dynamics of clusters of galaxies differ drastically from stellar dynamics thus requiring a mathematical approach to large-scale problems. Since mathematical techniques are not a familiar tool in this field a full summary of the elementary ideas of differential geometry ergodic theory and catastrophe theory are also considered in this exploratory text. Readership: Mathematicians astrophysicists and cosmologists as well as anyone interested in the many subject disciplines related to geometrical and topological aspects of the large-scale universe.