Paradigms of the large-scale universe
Author(s)
Bibliographic Information
Paradigms of the large-scale universe
Gordon and Breach Science, c1994
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Description and Table of Contents
Description
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.
Table of Contents
- 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.
by "Nielsen BookData"