MATLAB数值计算-(2013修订版.英文版)_PDF下载[44MB-百度云]莫勒

本书特色

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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高效率算法。主要内容包括：matlab介绍、线性方程组、插值、方程求根、*小二乘法、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。

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内容简介

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本书中文版购买链接：matlab数值计算(numerical computing with matlab 中译本，*新修订)

matlab创始人cleve b. moler原创作品4本，畅销英文原著，权威中文编译：

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作者简介

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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，也是著名的矩阵计算软件包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。

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preface1 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 exercises2 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 exercises3 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 exercises4 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 exercises5 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 exercises6 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 exelcises7 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 exercises8 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 exercises9 random numbers 9.1 pseudorandom numbers 9.2 uniform distribution 9.3 normal distribution 9.4 randtx, randntx 9.5 twister exercises10 eigenvalues and singular values 10.1 eigenvalue and singular value decompositions 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 exercises11 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 exercisesbibliographyindex