This proceedings volume comprises selected chapters presented at the International Conference on Applied Mathematics and Mechanics (ICAMM 2023), held at the Indian Institute of Technology Indore, India, from 18–20 October 2023. Organized into 32 chapters, it presents the recent advancements, cutting-edge innovations, prevalent trends, real-world challenges and solutions embraced in the applications of mathematics and mechanics. The book is of interest to researchers, students and the practicing engineers working in diverse areas of science and engineering, ranging from mathematical modelling and simulations, applied mathematics, numerical methods, solid and fluid mechanics, elasticity, geomechanics, computational engineering, structural engineering, wave propagation and sustainable construction practice.