Applied Numerical Methods with MATLAB for Engineers and Scientists, 4/e (IE-Paperback)
暫譯: 工程師與科學家的 MATLAB 應用數值方法,第四版 (IE-平裝本)

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商品描述

Applied Numerical Methods with MATLAB is written for students who want to learn and apply numerical methods in order to solve problems in engineering and science. As such, the methods are motivated by problems rather than by mathematics. That said, sufficient theory is provided so that students come away with insight into the techniques and their shortcomings.

商品描述(中文翻譯)

《使用 MATLAB 的應用數值方法》是為希望學習和應用數值方法以解決工程和科學問題的學生所撰寫。因此,這些方法是基於問題而非數學而產生的。儘管如此,書中提供了足夠的理論,使學生能夠深入了解這些技術及其局限性。

目錄大綱

able of Contents
Part One - Modeling, Computers, and Error Analysis
1) Mathematical Modeling, Numerical Methods, and Problem Solving
2) MATLAB Fundamentals
3) Programming with MATLAB
4) Roundoff and Truncation Errors

Part Two - Roots and Optimization
5) Roots: Bracketing Methods
6) Roots: Open Methods
7) Optimization

Part Three - Linear Systems
8) Linear Algebraic Equations and Matrices
9) Gauss Elimination
10) LU Factorization
11) Matrix Inverse and Condition
12) Iterative Methods
13) Eigenvalues

Part Four - Curve Fitting
14) Linear Regression
15) General Linear Least-Squares and Nonlinear Regression
16) Fourier Analysis
17) Polynomial Interpolation
18) Splines and Piecewise Interpolation

Part Five - Integration and Differentiation
19) Numerical Integration Formulas
20) Numerical Integration of Functions
21) Numerical Differentiation

Part Six - Ordinary Differential Equations
22) Initial-Value Problems
23) Adaptive Methods and Stiff Systems
24) Boundary-Value Problems

Appendix A - MATLAB Built-In Functions
Appendix B - MATLAB M-File Functions
Appendix C - INTRODUCTION TO SIMULINK 
Index

目錄大綱(中文翻譯)

able of Contents

Part One - Modeling, Computers, and Error Analysis

1) Mathematical Modeling, Numerical Methods, and Problem Solving

2) MATLAB Fundamentals

3) Programming with MATLAB

4) Roundoff and Truncation Errors

Part Two - Roots and Optimization

5) Roots: Bracketing Methods

6) Roots: Open Methods

7) Optimization

Part Three - Linear Systems

8) Linear Algebraic Equations and Matrices

9) Gauss Elimination

10) LU Factorization

11) Matrix Inverse and Condition

12) Iterative Methods

13) Eigenvalues

Part Four - Curve Fitting

14) Linear Regression

15) General Linear Least-Squares and Nonlinear Regression

16) Fourier Analysis

17) Polynomial Interpolation

18) Splines and Piecewise Interpolation

Part Five - Integration and Differentiation

19) Numerical Integration Formulas

20) Numerical Integration of Functions

21) Numerical Differentiation

Part Six - Ordinary Differential Equations

22) Initial-Value Problems

23) Adaptive Methods and Stiff Systems

24) Boundary-Value Problems

Appendix A - MATLAB Built-In Functions

Appendix B - MATLAB M-File Functions

Appendix C - INTRODUCTION TO SIMULINK 

Index

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