This text describes the gravitational interactions and evolution of astronomical systems on all scales, from small groups of stars through galaxies and clusters of galaxies to the Universe itself. In a rapidly developing area of astronomy, it is the first comprehensive treatise on the subject to be published since the early 1960s. Concentrating on the basic physics, at a graduate student level, it also develops many astronomical applications in considerable detail. The book is self-contained. Most results are derived from preceding ones in a straightforward way. It is written to bring out the...

Contemporary astronomers continue to search for ways to understand the irregular distribution of galaxies in our Universe. This volume describes gravitational theory, computer simulations and observations related to galaxy distribution functions, which is a general method for measuring the distribution of galaxies and their motions. Coverage embeds distribution functions in a broader astronomical context, and includes other contemporary topics such as correlation functions, fractals, bound clusters, topology, percolation and minimal spanning trees. Throughout, theory, computer simulation and...

Contemporary astronomers continue to search for ways to understand the irregular distribution of galaxies in our Universe. This volume describes gravitational theory, computer simulations and observations related to galaxy distribution functions, which is a general method for measuring the distribution of galaxies and their motions. Coverage embeds distribution functions in a broader astronomical context, and includes other contemporary topics such as correlation functions, fractals, bound clusters, topology, percolation and minimal spanning trees. Throughout, theory, computer simulation and...