Numerical Methods for Engineers, 7/e (IE-Paperback)
暫譯: 工程師的數值方法,第七版 (IE-平裝本)

Raymond P Canale (author) Steven C Chapra (author)

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<內容簡介>

The seventh edition of Chapra and Canale's Numerical Methods for Engineers 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®, Excel® with VBA, and Mathcad®. There is also material on developing MATLAB® m-files and VBA macros.

 

<本書特色>

  • McGraw-Hill is proud to offer Connect with the seventh edition of Chapra's, Numerical Methods for Engineers. This innovative and powerful system helps your students learn more efficiently and gives you the ability to assign homework problems simply and easily. Problems are graded automatically, and the results are recorded immediately. Track individual student performance - by question, assignment, or in relation to the class overall with detailed grade reports. ConnectPlus provides students with all the advantages of Connect, plus 24/7 access to an eBook.
  • LearnSmart™ an intelligent learning system that uses a series of probing questions to pinpoint each student's knowledge gaps. LearnSmart strengthens student understanding and retention of your course's fundamental concepts; effectively preparing your students for class so you can review less and teach more. The LearnSmart methodology is simple: determine the concepts students don't know or understand, and then teach those concepts using personalised plans designed for each student's success.
  • Clear Explanations and Elegantly Rendered Examples are central to the reputation of Chapra and Canale's Numerical Methods for Engineers.
  • Challenging Problems are drawn from all engineering disciplines and included in the excercise sets and examples.
  • A Companion Websitehouses the Instructor's Solutions Manual, PowerPoint slides of all text figures, M-Files, general information and more!
  • Numerous New and Revised Problems drawn from actual engineering practice as well as exciting new areas such as bioengineering and biotechnology are included in this edition.
  • Money Saving eBook is available. To purchase an electronic eBook version of this title, visit www.CourseSmart.com (ISBN 9780077492144). With the CourseSmart e Textbook version of this title, students can save money, reduce their impact on the environment, and access powerful web tools for learning. Faculty can also review and compare the full text online without having to wait for a print desk copy.

 

<章節目錄>

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
Appendix C Getting Starte dwith Mathcad
Bibliography
Index

 

 

商品描述(中文翻譯)


<內容簡介>


Chapra 和 Canale 的《工程數值方法》第七版保留了使該書成功的教學技術。Chapra 和 Canale 獨特的方法在每個部分開頭設有名為「動機」、「數學背景」和「導向」的章節。每個部分以「後記」結束,內容包括「權衡」、「重要關係和公式」以及「進階方法和附加參考」。後記不僅僅是總結,它加深了對所學內容的理解,並提供了對更高級方法的瞥見。還有有用的附錄,包括「MATLAB 入門」和「Mathcad 入門」,這些都是很好的參考資料。


許多新的或修訂的問題來自實際的工程實踐。這些練習中涵蓋的工程學科範圍擴大,特別體現在現在涵蓋生物技術和生醫工程等領域。優秀的新範例和案例研究涵蓋所有工程領域,讓學生廣泛接觸各種工程領域。


用戶將發現許多流行軟體包的檔案使用,特別是 MATLAB®、Excel® 與 VBA 以及 Mathcad®。還有關於開發 MATLAB® m-files 和 VBA 宏的材料。


 


<本書特色>



  • McGraw-Hill 自豪地提供 Connect 與 Chapra 的《工程數值方法》第七版。這個創新且強大的系統幫助您的學生更有效地學習,並使您能夠輕鬆地分配作業問題。問題會自動評分,結果會立即記錄。通過詳細的成績報告跟踪每位學生的表現 - 按問題、作業或整體班級進行比較。ConnectPlus 為學生提供了 Connect 的所有優勢,並提供 24/7 的電子書訪問。

  • LearnSmart™ 是一個智能學習系統,通過一系列探測性問題來確定每位學生的知識空白。LearnSmart 加強學生對課程基本概念的理解和記憶;有效地為您的學生做好上課準備,讓您能夠少教多學。LearnSmart 的方法論很簡單:確定學生不懂或不理解的概念,然後使用為每位學生成功設計的個性化計劃來教授這些概念。

  • 清晰的解釋和優雅的範例 是 Chapra 和 Canale 的《工程數值方法》聲譽的核心。

  • 具挑戰性的問題 來自所有工程學科,並包含在練習集和範例中。

  • 伴隨網站提供教師解答手冊、所有文本圖形的 PowerPoint 幻燈片、M-Files、一般資訊等!

  • 許多新的和修訂的問題 來自實際的工程實踐以及生物工程和生物技術等令人興奮的新領域,均包含在本版中。

  • 省錢的電子書 可供選擇。要購買此書的電子書版本,請訪問 www.CourseSmart.com (ISBN 9780077492144)。使用 CourseSmart 的電子教科書版本,學生可以省錢,減少對環境的影響,並訪問強大的網絡學習工具。教師也可以在線查看和比較完整文本,而無需等待印刷的桌面副本。


 


<章節目錄>


第一部分 建模、計算機與誤差分析
1 數學建模與工程問題解決
2 程式設計與軟體
3 近似與四捨五入誤差
4 截斷誤差與泰勒級數
第二部分 方程的根
5 包圍法
6 開放法
7 多項式的根
8 案例研究:方程的根
第三部分 線性代數方程
9 高斯消去法
10 LU 分解與矩陣反演
11 特殊矩陣與高斯-賽德爾法
12 案例研究:線性代數方程
第四部分 最適化
13 一維無約束最適化
14 多維無約束最適化
15 有約束最適化
16 案例研究:最適化
第五部分 曲線擬合
17 最小二乘回歸
18 插值法
19 傅立葉近似
20 案例研究:曲線擬合
第六部分 數值微分與積分
21 牛頓-科茲積分公式
22 方程的積分
23 數值微分
24 案例研究:數值積分與微分
第七部分 常微分方程
25 龍格-庫塔法
26 剛性與多步法
27 邊值與特徵值問題
28 案例研究:常微分方程
第八部分 偏微分方程
29 有限差分:橢圓方程
30 有限差分:拋物線方程
31 有限元素法
32 案例研究:偏微分方程
附錄 A 傅立葉級數
附錄 B MATLAB 入門
附錄 C Mathcad 入門
參考文獻
索引