这本书《工程与科学中的数值方法及其MATLAB应用》采用实用的方法介绍了如何使用MATLAB解决工程师和科学家面临的各种数值问题。
Title: Applied Numerical Methods with MATLAB for Engineers and Scientists, 4th Edition
Author: Steven Chapra
Length: 720 pages
Edition: 4
Language: English
Publisher: McGraw-Hill Education
Publication Date: February 6, 2017
ISBN-10: 0073397962
ISBN-13: 9780073397962
Table of Contents:
**Part One: Modeling, Computers, and Error Analysis**
Chapter 1. Mathematical Modeling, Numerical Methods, and Problem Solving
Chapter 2. MATLAB Fundamentals
Chapter 3. Programming with MATLAB
Chapter 4. Roundoff and Truncation Errors
**Part Two: Roots and Optimization**
Chapter 5. Roots: Bracketing Methods
Chapter 6. Roots: Open Methods
Chapter 7. Optimization
**Part Three: Linear Systems**
Chapter 8. Linear Algebraic Equations and Matrices
Chapter 9. Gauss Elimination
Chapter 10. LU Factorization
Chapter 11. Matrix Inverse and Condition
Chapter 12. Iterative Methods
Chapter 13. Eigenvalues
**Part Four: Curve Fitting**
Chapter 14. Linear Regression
Chapter 15. General Linear Least-Squares and Nonlinear Regression
Chapter 16. Fourier Analysis
Chapter 17. Polynomial Interpolation
Chapter 18. Splines and Piecewise Interpolation
**Part Five: Integration and Differentiation**
Chapter 19. Numerical Integration Formulas
Chapter 20. Numerical Integration of Functions
Chapter 21. Numerical Differentiation
**Part Six: Ordinary Differential Equations**
Chapter 22. Initial-Value Problems
Chapter 23. Adaptive Methods and Stiff Systems
Chapter 24. Boundary-Value Problems
Appendices:
A. MATLAB Built-In Functions
B. MATLAB M-File Functions
C. Introduction to Simulink