01416    a2200241   4500001001100000005001700011008003900028020002200067037003600089040000700125041000800132072001500140072001300155072002100168072002500189100002400214245004200238250000600280260002400286300001000310520083900320999001501159104028235020250328151427.0250324042024xx                   eng    a9781040282359qEA  bTaylor & FranciscGBP 52.99fBB  a01  aeng7 aPHV2thema7 aPHV2bic7 aSCI0550002bisac7 a523.1015153522bisac1 aGrigor A. Gurzadyan10aParadigms of the Large-Scale Universe  a1  bCRC Pressc20241220  a160 p  bDynamical 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.  c8621d8621