
- 160 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
Paradigms of the Large-Scale Universe
About this book
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.
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Information
Table of contents
- Cover
- Half Title
- Title Page
- Copyright Page
- Dedication
- Table of Contents
- Preface
- Acknowledgements
- Glossary
- 1 The Problem of the Large-Scale Structure of the Universe
- 2 Geometry, Dynamical Systems, Catastrophes
- 3 Galaxy Clusters
- 4 The S-Tree Technique
- 5 Appearance of the Matter Distribution
- 6 Statistical Methods
- 7 Filaments and Light-Travel Effects
- 8 The Cosmic Background Radiation as a Tracer of Geometry of the Universe
- Epilogue
- Index