Textbook in PDF format Embark on a fascinating exploration of molecular dynamics, which combines the authors' new probabilistic interpretation with cutting-edge simulations, some of which are performed on the largest supercomputers on our planet. From fundamental principles to innovative applications, this book covers the rich tapestry of molecular dynamics and its intersections with biological and medical sciences, materials science and engineering, and artificial intelligence, alongside uncertainty quantification. This enables the authors to highlight the critical role of molecular dynamics in delivering actionable outcomes for drug discovery, materials design and beyond