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图书基本信息 | |
图书名称 | MATLAB数值计算·2013修订版(英文版) |
作者 | (美)莫勒 著 |
定价 | 88元 |
出版社 | 北京航空航天大学出版社 |
ISBN | 9787512415751 |
出版日期 | 2014-10-01 |
字数 | 629000 |
页码 | 346 |
版次 | |
装帧 | 平装 |
开本 | 16开 |
商品重量 |
内容提要 | |
本书已得到MATLAB、数值分析和科学计算之父Cleve Moler 本人的正式授权,是《Numerical Computation with MATLAB》一书的修订版。该书不以深奥的数值分析理论为内容,而以易于理解的数学思维和便于掌握的数学计算编程技术为教学素材。该书摒弃以往数值分析教材中常见的程式性定理、定理证明、收敛性理论和冗长公式推演。该书数值算法原理的表述,言简意骇、层次丰富、见解独到、精辟;数学计算软件的教学内容易学易懂,构思巧妙而循循善诱。全书正文共11 章,包括:MATLAB 入门、线性方程组、插值、零点和根、 小二乘、定积分、常微分方程、数、傅立叶分析、特征值和奇异值、偏微分方程。每章后都配置了大量习题。与本书正文及习题匹配的70 多个M 文件都由Cleve Moler 本人编写,并被其本人赞为 引以自傲的软件作品。该书所有代码都适配于MATLAB R2014a。该书是Cleve Moler 专为高校研究生、本科生编写的数值计算、MATLAB 教材。该书也是所有MATLAB 用户理解MATLAB 算法原理的指南,也是广大科技人员自学、精读或随时查阅的 可信赖的参考书。 |
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, splix 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 Reading Exercises 9 Random Numbers 9.1 Pseudorandom Numbers 9.2 Uniform Distribution 9.3 Normal Distribution 9.4 randtx, randntx 9.5 Twister Exercises 10 Eigenvalues and Singular Values 10.1 Eigenvalue and Singular Value Depositions 10.2 A Small Example 10.3 eigshow 10.4 Characteristic Polynomial 10.5 Symmetric and Hermitian Matrices 10.6 Eigenvalue Sensitivity and Accuracy 10.7 Singular Value Sensitivity and Accuracy 10.8 Jordan and Schur Forms 10.9 The QR Algorithm 10.10 eigsvdgui 10.11 Principal Components 10.12 Circle Generator 10.13 Further Reading Exercises 11 Partial Differential Equations 11.1 Model Problems 11.2 Finite Difference Methods 11.3 Matrix Representation 11.4 Numerical Stability 11.5 The L-Shaped Membrane Exercises Bibliography Index |
作者介绍 | |
Cleve B.Moler 是The MathWorks公司的主席和首席科学家。曾任密歇根大学、斯坦福大学和新墨西哥大学的数学系或计算机系教授。他在两个计算机硬件制造商Intel公司的Hypercube组织Ardent Computers公司工作了五年。他的主要专业兴趣在于数值分析和科学计算。他是MATLAB软件的创始者,也是的矩阵计算软件包LINPACK和EISPACK的作者之一,已撰写了三本有关数值方法的教材。同时,他在SIAM(美国工业与应用数学学会)历任期刊编辑、委员会成员和副总裁,并从1996年开始担任理事会成员。 |
编辑推荐 | |
MATLAB之父Cleve B. Moler的经典之作,经Cleve本人正式授权,中国首印。 |