نام كتاب : Introductory Computational Physicsنويسنده :Andi Klein and Alexander Godunovانتشارات : Cambridge University-2006تعداد صفحات :137 صفحهحجم فايل : 3.13 مگابايت يك كتاب بسيار عالي براي تدريس فيزيك محاسباتيفصول:Introduction 11.1 The need for computers in science 11.2 What is computational physics? 11.3 Linux and C++ 22 Basics 52.1 Basic computer hardware 52.2 Software 72.3 How does it work? 93 Short introduction to Linux 113.1 Getting started and logging in 113.2 Getting help 123.3 The filesystem, or where is everything? 123.4 Moving around in your system 133.5 Listing your directory 143.6 Creating your own files 153.7 Doing some work 173.8 Good programming 193.9 Machine representation and precision 203.10 Exercises 234 Interpolation 254.1 Lagrange interpolation 274.2 Neville’s algorithm 294.3 Linear interpolation 304.4 Polynomial interpolation 314.5 Cubic spline 334.6 Rational function interpolation 344.7 Exercises 355 Taking derivatives 375.1 General discussion of derivatives with computers 375.2 Forward difference 385.3 Central difference and higher order methods 385.4 Higher order derivatives 405.5 Exercises 406 Numerical integration 416.1 Introduction to numerical integration 416.2 The simplest integration methods 426.3 More advanced integration 446.4 Exercises 497 Solution of nonlinear equations 517.1 Bisection method 517.2 Newton’s method 527.3 Method of secants 527.4 Brute force method 537.5 Exercises 538 Differential equations 558.1 Introduction 558.2 A brush up on differential equations 558.3 Introduction to the simple and modified Euler methods 578.4 The simple Euler method 588.5 The modified Euler method 628.6 Runge–Kutta method 658.7 Adaptive step size Runge–Kutta 708.8 The damped oscillator 728.9 Exercises 819 Matrices 839.1 Linear systems of equations 839.2 Gaussian elimination 849.3 Standard libraries 869.4 Eigenvalue problem 869.5 Exercises 8810 Random processes and Monte Carlo simulation 8910.1 Random processes in science 8910.2 Random number generators 9010.3 The random walk 9210.4 Random numbers for nonuniform distributions 9710.5 Monte Carlo integration 10110.6 Exercises 103References 105Appendix A The ROOT system 107A.1 What is ROOT 107A.2 The ROOT basics 107A.3 The first steps 108A.4 Lab ROOT 113A.5 Exercises 115Appendix B Free scientific libraries 117B.1 LAPACK 117B.2 SLATEC 118B.3 Where to obtain ROOT 118Appendix C FORTRAN and C++ 119C.1 Calling FORTRAN from C++ 120Appendix D Program listings 121D.1 Simple Euler 121D.2 Runge–Kutta program 123D.3 Random walk in two dimensions 131D.4 Acceptance and rejection method with sin(x) distribution 134Index 137