Numerical Methods for Engineers, 7/e (IE-Paperback)

<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

<內容簡介>

《工程數值方法》第七版保留了Chapra和Canale的教學技巧，這使得這本書非常成功。Chapra和Canale獨特的方法在每個部分的開頭都有名為“動機”，“數學背景”和“導向”的部分。每個部分都以一個包含“權衡”，“重要關係和公式”以及“高級方法和其他參考資料”的“結語”結束。結語不僅僅是一個總結，還加深了對所學知識的理解，並提供了對更高級方法的一瞥。附錄部分包括“開始使用MATLAB”和“開始使用Mathcad”，這些附錄非常有用。

大量新的或修訂的問題來自實際的工程實踐。在這些練習中，涵蓋的工程學科的範圍更加廣泛，特別是在生物技術和生物醫學工程等領域。優秀的新例子和案例研究涵蓋了工程的各個領域，使學生對工程的各個領域有廣泛的了解。

使用者可以找到許多流行軟件包的文件，特別是MATLAB®，帶有VBA的Excel®和Mathcad®。還有關於開發MATLAB® m文件和VBA宏的材料。

<本書特色>

• McGraw-Hill很自豪地提供第七版Chapra的《工程數值方法》的Connect系統。這個創新而強大的系統可以幫助學生更有效地學習，並使您能夠簡單輕鬆地分配作業問題。問題會自動評分，結果會立即記錄下來。通過詳細的成績報告，可以追踪個別學生的表現-按問題、作業或與整個班級的關係。ConnectPlus為學生提供了所有Connect的優勢，還可以全天候訪問電子書。


• LearnSmart™是一個智能學習系統，它使用一系列探索性問題來找出每個學生的知識盲點。LearnSmart加強學生對課程基本概念的理解和記憶，有效地為課堂準備學生，使您可以減少複習時間，增加教學時間。LearnSmart的方法很簡單：確定學生不知道或不理解的概念，然後使用為每個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例子是Chapra和Canale的《工程數值方法》聲譽的核心。


• 具有挑戰性的問題來自所有工程學科，並包含在練習集和例子中。