This book provides a comprehensive overview of the latest breakthroughs and research trends in applied physics and mathematics, as presented at the IV International Conference on Advances in Applied Physics and Mathematics-2026. Designed to bridge the gap between theoretical innovation and real-world application, it brings together leading experts to address critical challenges in energy, environment, materials, and computational science. Covering six major topics, this book delves into the application of physics and mathematics in energy systems, highlighting advancements in renewable energy technologies, energy storage, and the optimization of energy networks for greater efficiency and sustainability. It explores environmental physics and mathematical modeling, offering insights into climate dynamics, pollution dispersion, and ecosystem analysis using advanced mathematical and computational tools. The section on applied physics in earth sciences and resource management examines seismic imaging, remote sensing, and the optimization of mineral and water resources, providing essential knowledge for sustainable development. This book also features a dedicated chapter on computational physics and mathematical methods, showcasing state-of-the-art numerical techniques, algorithm development, and high-performance computing for solving complex physical problems, including simulations of fluid dynamics and quantum systems. In the realm of advanced materials, electromagnetic, and optical physics, readers find the latest research on nanomaterials, metamaterials, photonic devices, and plasmonics, with a focus on both experimental and theoretical approaches to material characterization and device fabrication. The final chapter investigates physical phenomena in materials and environmental systems, integrating experimental findings with mathematical modeling to deepen understanding of phase transitions, transport phenomena, and environmental interactions. By addressing pressing scientific and technological issues, this book aims to foster interdisciplinary collaboration and inspire innovative solutions to global challenges.
