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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.. NOTA: El libro no está en español, sino en inglés.
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Grigor A. Gurzadyan (Author)
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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.
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Paradigms of the Large-Scale Universe
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Paradigms of the large-scale universe
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Gordon and Breach Science Publishers, 114,, Suisse,, 1994
ISBN 10: 2881249663
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Paradigms of the Large-Scale Universe
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Gordon and Breach Science Publishers SA, 1994
ISBN 10: 2881249663
ISBN 13: 9782881249662
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Zustand: New. Grigor A. Gurzadyan (Author)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 f. Artikel-Nr. 597693214
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