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Numerical Methods for Engineers 7th ed. H 992 p. 14

Canale, Raymond P., Chapra, Steven C. 　著

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発行年月	2014年01月
出版社／提供元	The McGraw-Hill Companies
出版国	アメリカ合衆国
言語	英語
媒体	冊子
装丁	hardcover
ページ数／巻数	992 p., 582 illus.
ジャンル	洋書／理工学／数学／応用数学
ISBN	9780073397924
商品コード	1013203845
本の性格	テキスト
新刊案内掲載月	2013年07月
商品URL	https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=1013203845

内容

This is the seventh edition of Chapra and Canale's Numerical Methods for Engineers that retains the instructional techniques that have made the text so successful. Chapra and Canale's unique approach opens each part of the text with sections called "Motivation," "Mathematical Background," and "Orientation." Each part closes with an "Epilogue" containing "Trade-Offs," "Important Relationships and Formulas," and "Advanced Methods and Additional References." Much more than a summary, the Epilogue deepens understanding of what has been learned and provides a peek into more advanced methods. Helpful separate Appendices. "Getting Started with MATLAB" and "Getting Started with Mathcad" which make excellent references. Numerous new or revised problems are drawn from actual engineering practice. The expanded breadth of engineering disciplines covered is especially evident in these exercises, which now cover such areas as biotechnology and biomedical engineering. Excellent new examples and case studies span all areas of engineering giving students a broad exposure to various fields in engineering. Users will find use of files for many popular software packages, specifically MATLAB[registered], Excel[registered] with VBA, and Mathcad[registered]. There is also material on developing MATLAB[registered] m-files and VBA macros.

Part 1 Modeling, Computers, and Error Analysis 1 Mathematical Modeling and Engineering Problem Solving 2 Programming and Software 3 Approximations and Round-Off Errors 4 Truncation Errors and the Taylor Series Part 2 Roots of Equations 5 Bracketing Methods 6 Open Methods 7 Roots of Polynomials 8 Case Studies: Roots of Equations Part 3 Linear Algebraic Equations 9 Gauss Elimination 10 LU Decomposition and Matrix Inversion 11 Special Matrices and Gauss-Seidel 12 Case Studies: Linear Algebraic Equations Part 4 Optimization 13 One-Dimensional Unconstrained Optimization 14 Multidimensional Unconstrained Optimization 15 Constrained Optimization 16 Case Studies: Optimization Part 5 Curve Fitting 17 Least-Squares Regression 18 Interpolation 19 Fourier Approximation 20 Case Studies: Curve Fitting Part 6 Numerical Differentiation and Integration 21 Newton-Cotes Integration Formulas 22 Integration of Equations 23 Numerical Differentiation 24 Case Studies: Numerical Integration and Differentiation Part 7 Ordinary Differential Equations 25 Runge-Kutta Methods 26 Stiffness and Multistep Methods 27 Boundary-Value and Eigenvalue Problems 28 Case Studies: Ordinary Differential Equations Part 8 Partial Differential Equations 29 Finite Difference: Elliptic Equations 30 Finite Difference: Parabolic Equations 31 Finite-Element Method 32 Case Studies: Partial Differential Equations Appendix A The Fourier Series Appendix B Getting Started with Matlab Bibliography Index

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