MATLAB數值計算(2014年北京航空航天大學出版社出版的圖書)

MATLAB數值計算(2014年北京航空航天大學出版社出版的圖書)

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《MATLAB數值計算》是2014年北京航空航天大學出版社出版的圖書。

基本介紹

內容簡介,圖書目錄,

內容簡介

  《MATLAB數值計算·2013修訂版(英文版)》已得到MATLAB、數值分析和科學計算之父Cleve Moler 本人正式授權。該書不以深奧的數值分析理論為內容,而以易於理解的數學思維和便於掌握的數學計算編程技術為教學素材。該書摒棄以往數值分析教材中常見的程式性定理、定理證明、收斂性理論和冗長公式推演。該書數值算法原理的表述,言簡意駭、層次豐富、見解獨到、精闢;數學計算軟體的教學內容易學易懂,構思巧妙而循循善誘。
  全書正文共11 章,包括:MATLAB 入門、線性方程組、插值、零點和根、小二乘、定積分、常微分方程、隨機數、傅立葉分析、特徵值和奇異值、偏微分方程。每章後都配置了大量習題。與本書正文及習題匹配的70 多個M 檔案都由Cleve Moler 本人編寫,並被其本人贊為引以自傲的軟體作品。該書所有代碼都適配於MATLAB R2014a。
  該書是Cleve Moler 專為高校研究生、本科生編寫的數值計算、MATLAB 教材。該書也是所有MATLAB 用戶理解MATLAB 算法原理的好指南,也是廣大科技人員自學、精讀或隨時查閱的可信賴的參考書。

圖書目錄

Preface
1Introduction 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+1 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 fzerotx
4.8 fzerogui
4.9 Value Finding and Reverse Interpolation
4.10 Optimization and fmintx
Exercises
5 Least Squares
5.1 Models and Curve Fitting
5.2 Norms
5.3 censusgui
5.4 Householder Reflections
5.5 The QR Factorization
5.6 Pseudoinverse
5.7 Rank De ciency
5.8 Separable Least Squares
5.9 Further Reading
Exercises
6 Quadrature
6.1 Adaptive Quadrature
6.2 Basic Quadrature Rules
6.3 quadtx, quadgui
6.4 Specifying Integrands
6.5 Performance
6.6 Integrating Discrete Data
6.7 Further Reading
Exercises
7 Ordinary Differential Equations 193
7.1 Integrating Differential Equations
7.2 Systems of Equations
7.3 Linearized 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 Reading
Exercises

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