This book stems from lectures that were given at a three-week Advanced Instructional School on Ergodic Theory and Dynamical Systems held at the Indian Institute of Technology, Delhi during 4th - 23rd December 2017, organized by the National Centre for Mathematics with support from the National Board for Higher Mathematics, Department of Atomic Energy, Government of India. They are intended to help a new researcher understand various aspects of dynamical systems. Each chapter of this book specializes in one aspect of dynamical systems; and thus begins at an elementary level and goes on to cover fairly advanced material. The editors hope the book will help researchers get familiar with, and navigate through, different parts of ergodic theory and dynamical systems. Contents: Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v V. Kannan Real Dynamics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Anima Nagar and C. R. E. Raja Topological Dynamics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 C. S. Aravinda and Vishesh S. Bhat Basic Ergodic Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83 Siddhartha Bhattacharya Symbolic Dynamics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121 Shrihari Sridharan and Kaushal Verma Complex Dynamics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139 Anish Ghosh Topics in Homogeneous Dynamics and Number Theory . . . . . . . . . . . . . . . . . 165 S. G. Dani On Certain Unusual Large Subsets Arising as Winning Sets of Some Games . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 187