相關主題
商品描述
Designed to provide tools for independent study, this book contains student-tested mathematical exercises joined with MATLAB programming exercises.
Most chapters open with a review followed by theoretical and programming exercises, with detailed solutions provided for all problems including programs. Many of the MATLAB exercises are presented as Russian dolls: each question improves and completes the previous program and results are provided to validate the intermediate programs.
The book offers useful MATLAB commands, advice on tables, vectors, matrices and basic commands for plotting. It contains material on eigenvalues and eigenvectors and important norms of vectors and matrices including perturbation theory; iterative methods for solving nonlinear and linear equations; polynomial and piecewise polynomial interpolation; Bézier curves; approximations of functions and integrals and more. The last two chapters considers ordinary differential equations including two point boundary value problems, and deal with finite difference methods for some partial differential equations.
The format is designed to assist students working alone, with concise Review paragraphs, Math Hint footnotes on the mathematical aspects of a problem and MATLAB Hint footnotes with tips on programming.
商品描述(中文翻譯)
本書旨在提供獨立學習的工具，包含經學生測試的數學練習以及 MATLAB 程式設計練習。
大多數章節以回顧開始，接著是理論和程式設計練習，所有問題（包括程式）的詳細解答均有提供。許多 MATLAB 練習以俄羅斯娃娃的形式呈現：每個問題都在改進和完成前一個程式，並提供結果以驗證中間程式的正確性。
本書提供有用的 MATLAB 指令，關於表格、向量、矩陣的建議，以及繪圖的基本指令。內容涵蓋特徵值和特徵向量，以及向量和矩陣的重要範數，包括擾動理論；解非線性和線性方程的迭代方法；多項式和分段多項式插值；Bézier 曲線；函數和積分的近似等。最後兩章探討常微分方程，包括兩點邊界值問題，並處理某些偏微分方程的有限差分方法。
本書格式旨在協助獨立學習的學生，包含簡潔的回顧段落、關於問題數學方面的 數學提示 註腳，以及提供程式設計建議的 MATLAB 提示 註腳。
