图书简介
The classic in the field for more than 25 years, now with more emphasis on data science and machine learning Computational physics combines physics, applied mathematics, and computer science in a cutting-edge multidisciplinary approach to solving realistic physical problems. It has become integral to modern physics research because of its capacity to bridge the gap between mathematical theory and real-world system behavior. Computational Physics provides the reader with the essential knowledge to understand computational tools and mathematical methods well enough to be successful. Its philosophy is rooted in "learning by doing", assisted by many sample programs in the popular Python programming language. The first third of the book lays the fundamentals of scientific computing, including programming basics, stable algorithms for differentiation and integration, and matrix computing. The latter two-thirds of the textbook cover more advanced topics such linear and nonlinear differential equations, chaos and fractals, Fourier analysis, nonlinear dynamics, and finite difference and finite elements methods. A particular focus in on the applications of these methods for solving realistic physical problems. Readers of the fourth edition of Computational Physics will also find: Brand-new chapters on general relativity and the computational physics of soft matter An exceptionally broad range of topics, from simple matrix manipulations to intricate computations in nonlinear dynamics A whole suite of supplementary material: Python programs, Jupyter notebooks and videos Computational Physics is ideal for students in physics, engineering, materials science, and any subjects drawing on applied physics.
1. Introduction 1.1. Computational Physics and Computational Science 1.2. This Book’s Subjects 1.3. This Book’s Problems 1.4. This Book’s Language: The Python Ecosystem of Packages 1.5. NEW: Installing Python and Its Packages 2. Python Programming Basics and Visualizations 2.1. Making Computers Obey 2.2. Program, Shells, Editors, and All that 2.3. Variables 2.4. Operations 2.5. Functions, Packages, and Modules 2.6. I/O 2.7. Control Statements 2.8. Arrays, Matrices, Lists 2.9. Floating-Point Numbers-Limits 2.10. Problem: Summing Series 2.11. Visualizations with Matplotlib 2.12. Plotting Exercises 2.13. Algebraic Tools 3. Errors and Uncertainties in Computations 3.1. Types of Errors 3.2. Error in Bessel Function Computations 3.3. Experimental Error Investigation 4. Monte Carlo: Randomness, Walks, and Decays 4.1. Deterministic Randomness 4.2. Random Sequences 4.3. Random Walks 4.4. Protein Folding
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