Computational Science and Engineering by Gilbert Strang (English) Hardcover Book

Description: Computational Science and Engineering by Gilbert Strang This book encompasses the full range of computational science and engineering from modelling to solution, whether analytic or numerical. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description Encompasses the full range of computational science and engineering from modelling to solution, both analytical and numerical. It develops a framework for the equations and numerical methods of applied mathematics. Gilbert Strang has taught this material to thousands of engineers and scientists (and many more on MITs OpenCourseWare 18.085-6). His experience is seen in his clear explanations, wide range of examples, and teaching method. The book is solution-based and not formula-based: it integrates analysis and algorithms and MATLAB codes to explain each topic as effectively as possible. The topics include applied linear algebra and fast solvers, differential equations with finite differences and finite elements, Fourier analysis and optimization. This book also serves as a reference for the whole community of computational scientists and engineers. Supporting resources, including MATLAB codes, problem solutions and video lectures from Gilbert Strangs 18.085 courses at MIT, are provided at math.mit.edu/cse. Author Biography Gilbert Strang received his Ph.D. from UCLA and since then he has taught at MIT. He has been a Sloan Fellow and a Fairchild Scholar and is a Fellow of the American Academy of Arts and Sciences. He is a Professor of Mathematics at MIT and an Honorary Fellow of Balliol College. Professor Strang has published eight textbooks. He received the von Neumann Medal of the US Association for Computational Mechanics, and the Henrici Prize for applied analysis. The first Su Buchin Prize from the International Congress of Industrial and Applied Mathematics, and the Haimo Prize from the Mathematical Association of America, were awarded for his contributions to teaching around the world. Table of Contents 1. Applied Linear Algebra: 1.1 Four special matrices; 1.2 Differences, derivatives, and boundary conditions; 1.3 Elimination leads to K = LDL^T; 1.4 Inverses and delta functions; 1.5 Eigenvalues and eigenvectors; 1.6 Positive definite matrices; 1.7 Numerical linear algebra: LU, QR, SVD; 1.8 Best basis from the SVD; 2. A Framework for Applied Mathematics: 2.1 Equilibrium and the stiffness matrix; 2.2 Oscillation by Newtons law; 2.3 Least squares for rectangular matrices; 2.4 Graph models and Kirchhoffs laws; 2.5 Networks and transfer functions; 2.6 Nonlinear problems; 2.7 Structures in equilibrium; 2.8 Covariances and recursive least squares; 2.9 Graph cuts and gene clustering; 3. Boundary Value Problems: 3.1 Differential equations of equilibrium; 3.2 Cubic splines and fourth order equations; 3.3 Gradient and divergence; 3.4 Laplaces equation; 3.5 Finite differences and fast Poisson solvers; 3.6 The finite element method; 3.7 Elasticity and solid mechanics; 4. Fourier Series and Integrals: 4.1 Fourier series for periodic functions; 4.2 Chebyshev, Legendre, and Bessel; 4.3 The discrete Fourier transform and the FFT; 4.4 Convolution and signal processing; 4.5 Fourier integrals; 4.6 Deconvolution and integral equations; 4.7 Wavelets and signal processing; 5. Analytic Functions: 5.1 Taylor series and complex integration; 5.2 Famous functions and great theorems; 5.3 The Laplace transform and z-transform; 5.4 Spectral methods of exponential accuracy; 6. Initial Value Problems: 6.1 Introduction; 6.2 Finite difference methods for ODEs; 6.3 Accuracy and stability for u_t = c u_x; 6.4 The wave equation and staggered leapfrog; 6.5 Diffusion, convection, and finance; 6.6 Nonlinear flow and conservation laws; 6.7 Fluid mechanics and Navier-Stokes; 6.8 Level sets and fast marching; 7. Solving Large Systems: 7.1 Elimination with reordering; 7.2 Iterative methods; 7.3 Multigrid methods; 7.4 Conjugate gradients and Krylov subspaces; 8. Optimization and Minimum Principles: 8.1 Two fundamental examples; 8.2 Regularized least squares; 8.3 Calculus of variations; 8.4 Errors in projections and eigenvalues; 8.5 The Saddle Point Stokes problem; 8.6 Linear programming and duality; 8.7 Adjoint methods in design. Review Gil Strang has given the discipline of computational science and engineering its first testament in this new and comprehensive book. It surely extends Gils long tradition of practical, wide-ranging, and insightful books that are invaluable for students, teachers, and researchers alike. If you could have only one book on a desert island, this might be it. William Briggs, Professor of Mathematics at University of Colorado at Denver, and SIAM Vice-President for Education Review Quote Gil Strang has given the discipline of computational science and engineering its first testament in this new and comprehensive book. It surely extends Gils long tradition of practical, wide-ranging, and insightful books that are invaluable for students, teachers, and researchers alike. If you could have only one book on a desert island, this might be it. William Briggs, Professor of Mathematics at University of Colorado at Denver, and SIAM Vice-President for Education Promotional "Headline" This book encompasses the full range of computational science and engineering from modelling to solution, whether analytic or numerical. Description for Bookstore Encompasses the full range of computational science and engineering from modeling to solution, whether analytic or numerical. Gilbert Strang has taught this material to thousands of engineers and scientists. Supporting resources, including video lectures, are provided by the author at www-math.mit.edu/cse. Description for Library Encompasses the full range of computational science and engineering from modeling to solution, whether analytic or numerical. Gilbert Strang has taught this material to thousands of engineers and scientists. Supporting resources, including video lectures, are provided by the author at www-math.mit.edu/cse. Details ISBN0961408812 Author Gilbert Strang Pages 750 Publisher Wellesley-cambridge Press,u.s. ISBN-10 0961408812 ISBN-13 9780961408817 Format Hardcover Imprint Wellesley-Cambridge Press,U.S. Place of Publication Wellesley Country of Publication United States DEWEY 502.85 Year 2007 Publication Date 2007-11-01 Media Book Short Title COMPUTATIONAL SCIENCE & ENGINE Language English Illustrations figures Affiliation Massachusetts Institute of Technology DOI 10.1604/9780961408817 Audience College/Higher Education UK Release Date 2007-11-01 AU Release Date 2007-11-01 NZ Release Date 2007-11-01 US Release Date 2007-11-01 We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:145610101;

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