MATLAB数值计算-(2013修订版.英文版)

内容简介

     莫勒的《MATLAB数值计算（2013修订版英文版）》 风格生动，适用于数值方法、MATLAB 和技术计算等 方面的初级课程，着重介绍数学软件的熟练使用及其 内在的率算法。主要内容包括：MATLAB介绍、线 性方程组、插值、方程求根、二乘法、数值积分 、常微分方程、傅里叶分析、随机数、特征值与奇异 值、偏微分方程。

目录

Preface
1 Introduction to MATLAB
  1.1 The Golden Ratio
  1.2 Fibonacci Numbers
  1.3 Fractal Fern
  1.4 Magic Squares
  1.5 Cryptography
  1.6 The 3n+l Sequence
  1.7 Floating-Point Arithmetic
  1.8 Further Reading
  Exercises
2 Linear Equations
  2.1 Solving Linear Systems
  2.2 The MATLAB Backslash Operator
  2.3 A 3-by-3 Example
  2.4 Permutation and Triangular Matrices
  2.5 LU Factorization
  2.6 Why Is Pivoting Necessary?
  2.7 lutx, bslashtx, lugui
  2.8 Effect of Roundoff Errors
  2.9 Norms and Condition Numbers
  2.10 Sparse Matrices and Band Matrices
  2.11 PageRank and Markov Chains
  2.12 Further Reading
  Exercises
3 Interpolation
  3.1 The Interpolating Polynomial
  3.2 Piecewise Linear Interpolation
  3.3 Piecewise Cubic Hermite Interpolation
  3.4 Shape-Preserving Piecewise Cubic
  3.5 Cubic Spline
  3.6 pchiptx, splinetx
  3.7 interpgui
  Exercises
4 Zeros and Roots
  4.1 Bisection
  4.2 Newton's Method
  4.3 A Perverse Example
  4.4 Secant Method
  4.5 Inverse Quadratic Interpolation
  4.6 Zeroin
  4.7 fzerctx
  4.8 fzeregui
  4.9 Value Finding and Reverse Interpolation
  4.10 Optimization and fmintx
  Exercises
5 Least Squares
  5.1 Models and Curve Fitting
  5.2 Ncrms
  5.3 censusgui
  5.4 Householder Reflections
  5.5 The QR Factorization
  5.6 Pseu doinverse
  5.7 Rank Deficiency
  5.8 Separable Least Squares
  5.9 b-hrther Reading
  Exercises
6 Quadrature
  6.1 Adaptive Quadrature
  6.2 Basic Quadrature Rules
  6.3 qusdtx, quadgui
  6.4 Specifying Integrands
  6.5 Performance
  6.6 Integrating Discrete Data
  6.7 Further Reading
  Exelcises
7 Ordinary Differential Equations
  7.1 Integrating Differential Equations
  7.2 Systems of Equations
  7.3 Lineari2ed Differential Equations
  7.4 Single-Step Methods
  7.5 The BS23 Algorithm
  7.6 ode23tx
  7.7 Examples
  7.8 Lorenz Attractor
  7.9 Stiffness
  7.10 Events
  7.11 Multistep Methods
  7.12 The MATLAB ODE Solvers
  7.13 Errors
  7.14 Performance
  7.15 Further Reading
  Exercises
8 Fourier Analysis
  8.1 Touch-Tone Dialing
  8.2 Finite Fourier Transform
  8.3 fftgui
  8.4 Sunspots
  8.5 Periodic Time Series
  8.6 Fast Finite Fourier Transform
  8.7 ffttx
  8.8 fftmatrix
  8.9 Other Fourier Transforms and Series
  8.10 Further Readin