Numerical Methods, 4/e (IE-Paperback)
暫譯: 數值方法(第4版)
Douglas Faires , Richard L. Burden
- 出版商: Cengage Learning
- 出版日期: 2013-01-01
- 定價: $1,380
- 售價: 9.8 折 $1,352
- 語言: 英文
- 頁數: 608
- ISBN: 0495385697
- ISBN-13: 9780495385691
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相關主題
商品描述
Description
NUMERICAL METHODS, 4E, International Edition emphasizes the intelligent application of approximation techniques to the type of problems that commonly occur in engineering and the physical sciences. Students learn why the numerical methods work, what kinds of errors to expect, and when an application might lead to difficulties. The authors also provide information about the availability of high-quality software for numerical approximation routines. The techniques are the same as those covered in the authors' top-selling Numerical Analysis text, but this text provides an overview for students who need to know the methods without having to perform the analysis. This concise approach still includes mathematical justifications, but only when they are necessary to understand the methods. The emphasis is placed on describing each technique from an implementation standpoint, and on convincing the student that the method is reasonable both mathematically and computationally.
- Features/Benefits
- This text is designed for use in a one-semester course, but contains more material than needed. Instructors have flexibility in choosing topics and students gain a useful reference for future work
- Worked examples using computer algebra systems help students understand why the software usually works, why it might fail, and what to do when a software program fails.
- The exercise sets include problems reflecting a wide range of difficulty as well as problems that offer good illustrations of the methods being discussed, while requiring little calculation.
- The book contains instructions for a wide range of popular computer algebra systems.
- New examples and exercises appear throughout the text, offering fresh options for assignments.
- Chapter 7, "Iterative Methods for Solving Linear Systems," includes a new section on Conjugate Gradient Methods.
- Chapter 10, "Solutions of Systems of Nonlinear Equations," includes a new section on Homotopy and Continuation Methods.
- Revised techniques for algorithms and programs are included in six languages: FORTRAN, Pascal, C, MAPLE, Mathematica, and MATLAB.
- All of the Maple material in the text is updated to conform with the newest release (Maple 7). All of the material on the CD that accompanies the book is updated to conform to the latest available versions of Maple, Mathematica, and MATLAB.
- This edition includes many more examples of Maple code.
商品描述(中文翻譯)
描述
數值方法,第4版,國際版強調將近似技術智慧地應用於工程和物理科學中常見的問題。學生將學習數值方法為何有效、預期會遇到什麼樣的錯誤,以及何時應用可能會導致困難。作者還提供有關高品質數值近似例程軟體可用性的資訊。這些技術與作者暢銷的《數值分析》教材中所涵蓋的相同,但本書為需要了解方法而不必進行分析的學生提供了概述。這種簡潔的方法仍然包括數學上的理由,但僅在理解方法時必要時才會提及。重點放在從實作的角度描述每種技術,並說服學生該方法在數學和計算上都是合理的。
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特點/好處- 本書設計用於一學期的課程,但包含的材料超過所需。教師在選擇主題上具有靈活性,學生則獲得未來工作的有用參考。
- 使用計算機代數系統的範例幫助學生理解為何軟體通常有效、為何可能失敗,以及當軟體程式失敗時該怎麼做。
- 練習題集包含反映廣泛難度範圍的問題,以及提供良好示範所討論方法的問題,同時需要的計算量不多。
- 本書包含針對多種流行計算機代數系統的指導。
本版新內容- 全書新增範例和練習題,提供新的作業選項。
- 第7章「解線性系統的迭代方法」新增共軛梯度法的部分。
- 第10章「非線性方程組的解」新增同倫和延續方法的部分。
- 修訂的演算法和程式技術包含六種語言:FORTRAN、Pascal、C、MAPLE、Mathematica 和 MATLAB。
- 書中所有的 Maple 內容已更新以符合最新版本(Maple 7)。隨書附帶的 CD 上的所有資料也已更新以符合最新可用版本的 Maple、Mathematica 和 MATLAB。
- 本版包含更多的 Maple 程式碼範例。
目錄大綱
Table of Contents
1. MATHEMATICAL PRELIMINARIES AND ERROR ANALYSIS.
2. SOLUTIONS OF EQUATIONS OF ONE VARIABLE.
3. INTERPOLATION AND POLYNOMIAL APPROXIMATION.
4. NUMERICAL INTEGRATION AND DIFFERENTIATION.
5. NUMERICAL SOLUTION OF INITIAL-VALUE PROBLEMS.
6. DIRECT METHODS FOR SOLVING LINEAR SYSTEMS.
7. ITERATIVE METHODS FOR SOLVING LINEAR SYSTEMS.
8. APPROXIMATION THEORY.
9. APPROXIMATING EIGENVALUES.
10. SYSTEMS OF NONLINEAR EQUATIONS.
11. BOUNDARY-VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS.
12. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS.
目錄大綱(中文翻譯)
Table of Contents
1. MATHEMATICAL PRELIMINARIES AND ERROR ANALYSIS.
2. SOLUTIONS OF EQUATIONS OF ONE VARIABLE.
3. INTERPOLATION AND POLYNOMIAL APPROXIMATION.
4. NUMERICAL INTEGRATION AND DIFFERENTIATION.
5. NUMERICAL SOLUTION OF INITIAL-VALUE PROBLEMS.
6. DIRECT METHODS FOR SOLVING LINEAR SYSTEMS.
7. ITERATIVE METHODS FOR SOLVING LINEAR SYSTEMS.
8. APPROXIMATION THEORY.
9. APPROXIMATING EIGENVALUES.
10. SYSTEMS OF NONLINEAR EQUATIONS.
11. BOUNDARY-VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS.
12. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS.