Paradigms of the large-scale universe

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書誌事項

Paradigms of the large-scale universe

V.G. Gurzadyan, A.A. Kocharyan

Gordon and Breach Science, c1994

大学図書館所蔵 件 / 全3件

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内容説明・目次

内容説明

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.

目次

  • 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.

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