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.
By:
Grigor A. Gurzadyan, A. A. Kocharyan, A.A. Kochryan (Monash University, Victoria, Australia) Imprint: Gordon & Breach Science Publishers SA Dimensions:
Height: 234mm,
Width: 156mm,
Spine: 235mm
Weight: 453g ISBN:9782881249662 ISBN 10: 2881249663 Pages: 160 Publication Date:04 November 1994 Audience:
College/higher education
,
Professional and scholarly
,
Professional & Vocational
,
A / AS level
,
Further / Higher Education
Format:Hardback Publisher's Status: Active
The problem of large-scale structure of the universe; geometry, dynamical systems, catastrophes; definition of a galaxy cluster; the bound-tree technique; appearance of matter distribution; statistical methods; filaments and light-travel effects; the cosmic background radiation as a tracer of geometry of the universe.