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Paradigms of the Large-Scale Universe - Grigor A. Gurzadyan

Paradigms of the Large-Scale Universe

Hardcover Published: 4th November 1994
ISBN: 9782881249662
Number Of Pages: 160

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This unique book offers a new approach to the study of the large-scale structure of the Universe. Though considered to be governed by the same Newtonian gravitational interaction, the dynamics of galactic clusters differs drastically from that of stellar dynamics, and therefore a different mathematical approach is required. The theory of dynamical systems provides a powerful method for the study of the profound properties of multi-dimensional nonlinear systems. This monograph offers a consistent geometrical treatment of observational cosmology from the concepts of the theory of dynamical systems.
Since this mathematical technique is not yet a familiar tool in the field of astrophysics, a summary of the fundamental ideas of differential geometry, ergodic theory and catastrophe theory is presented. Such a unified approach facilitates the study of a wide range of, at first sight, very different phenomena within the same physical framework, thus revealing their universal underlying properties. This book will be of great value to astrophysicists and mathematicians for its pioneering approach to the study of the large-scale Universe.

Preface
Acknowledgements
Glossary
The Problem of the Large-Scale Structure of the Universep. 1
Geometry, Dynamical Systems, Catastrophesp. 17
Galaxy Clustersp. 49
The S-Tree Techniquep. 57
Appearance of the Matter Distributionp. 71
Statistical Methodsp. 91
Filaments and Light-Travel Effectsp. 109
The Cosmic Background Radiation as a Tracer of Geometry of the Universep. 125
Epiloguep. 141
Indexp. 143
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9782881249662
ISBN-10: 2881249663
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 160
Published: 4th November 1994
Publisher: Taylor & Francis Ltd
Country of Publication: GB
Dimensions (cm): 24.13 x 16.51  x 1.27
Weight (kg): 0.45
Edition Number: 1

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