Computational Physics I: Numerical Methods (Graduate Texts in Physics)

This book presents basic numerical methods and applies them to a large variety of physical models in multiple computer experiments.Authored by a distinguished expert in the field, it combines rigorous theoretical insights with a wealth of practical and easily accessible computational applications.This book serves as an ideal standalone text for computational physics courses at both the graduate and advanced undergraduate levels.It offers a detailed and cohesive exploration of the physics of classical and quantum systems, electrostatics, thermodynamics, statistical physics and nonlinear systems, integrating foundational principles with advanced simulation techniques. The significantly expanded and updated fourth edition comprises two volumes.Volume 1 is dedicated to numerical methods, covering essential topics such as error analysis, numerical differentiation and integration, Fourier transforms, time-frequency analysis, and data fitting.Alongside this, it presents essential computationa