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NUMERICAL METHODS：DESIGN, ANALYSIS, AND COMPUTER IMPLEMENTATION OF ALGORITHMS
作者：
GREENBAUM
分類：
外文書籍
／
綜論
出版社：
全華圖書
出版日期：2012/1/1
ISBN：9780691151229
書籍編號：kk0343463
頁數：470
定價：
1300
元
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88
折
1144
元
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NUMERICAL METHODS：DESIGN, ANALYSIS, AND COMPUTER IMPLEMENTATION OF ALGORITHMS Numerical Methods provides a clear and concise exploration of standard numerical analysis topics, as well as nontraditional ones, including mathematical modeling, Monte Carlo methods, Markov chains, and fractals. Filled with appealing examples that will motivate students, the textbook considers modern application areas, such as information retrieval and animation, and classical topics from physics and engineering. Exercises use MATLAB and promote understanding of computational results. The book gives instructors the flexibility to emphasize different aspects--design, analysis, or computer implementation--of numerical algorithms, depending on the background and interests of students. Designed for upper-division undergraduates in mathematics or computer science classes, the textbook assumes that students have prior knowledge of linear algebra and calculus, although these topics are reviewed in the text. Short discussions of the history of numerical methods are interspersed throughout the chapters. The book also includes polynomial interpolation at Chebyshev points, use of the MATLAB package Chebfun, and a section on the fast Fourier transform. Supplementary materials are available online.
Preface Ch1：MATHEMATICAL MODELING Ch 2：BASIC OPERATIONS WITH MATLAB Ch3：MONTE CARLO METHODS Ch4：SOLUTION OF A SINGLE NONLINEAR EQUATION IN ONE UNKNOWN Ch5：FLOATING-POINT ARITHMETIC Ch6：CONDITIONING OF PROBLEMS; STABILITY OF ALGORITHMS Ch7：DIRECT METHODS FOR SOLVING LINEAR SYSTEMS AND LEAST SQUARES PROBLEMS Ch8：POLYNOMIAL AND PIECEWISE POLYNOMIAL INTERPOLATION Ch9：NUMERICAL DIFFERENTIATION AND RICHARDSON EXTRAPOLATION Ch10：NUMERICAL INTEGRATION Ch11：NUMERICAL SOLUTION OF THE INITIAL VALUE PROBLEM FOR ORDINARY DIFFERENTIAL EQUATIONS Ch12：MORE NUMERICAL LINEAR ALGEBRA：EIGENVALUES AND ITERATIVE METHODS FOR SOLVING LINEAR SYSTEMS Ch13：NUMERICAL SOLUTION OF TWO-POINT BOUNDARY VALUE PROBLEMS Ch14：NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS APPENDIX A REVIEW OF LINEAR ALGEBRA APPENDIX B TAYLOR'S THEOREM IN MULTIDIMENSIONS References Index
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