This book presents research papers from the First International Conference on Symmetries and Integrability of Dynamical Systems (ICSIDS 2024), organized by the Department of Mathematics at Pondicherry University, Puducherry, India, held during November 5–7, 2024. The conference proceedings is a collection of thematic topics, such as symmetries and conservation laws, applications of group analysis to new mathematical models and nonlinear problems, symmetries of difference and differential equations with nonlocal terms, methods of integration of systems of equations, applications of analytical methods to problems in science and engineering, special function theory and Painlevé equations, integrability of discrete systems, discrete differential geometry, nonlocal integrable system, and nonlinear waves.