Numerical Methods for Engineers and Scientists Using MATLAB (Paperback)

Designed to benefit scientific and engineering applications, Numerical Methods for Engineers and Scientists Using MATLAB® focuses on the fundamentals of numerical methods while making use of MATLAB software. The book introduces MATLAB early on and incorporates it throughout the chapters to perform symbolic, graphical, and numerical tasks. The text covers a variety of methods from curve fitting to solving ordinary and partial differential equations.

• Provides fully worked-out examples showing all details
• Confirms results through the execution of the user-defined function or the script file
• Executes built-in functions for re-confirmation, when available
• Generates plots regularly to shed light on the soundness and significance of the numerical results

Created to be user-friendly and easily understandable, Numerical Methods for Engineers and Scientists Using MATLAB® provides background material and a broad introduction to the essentials of MATLAB, specifically its use with numerical methods. Building on this foundation, it introduces techniques for solving equations and focuses on curve fitting and interpolation techniques. It addresses numerical differentiation and integration methods, presents numerical methods for solving initial-value and boundary-value problems, and discusses the matrix eigenvalue problem, which entails numerical methods to approximate a few or all eigenvalues of a matrix. The book then deals with the numerical solution of partial differential equations, specifically those that frequently arise in engineering and science.

The book presents a user-defined function or a MATLAB script file for each method, followed by at least one fully worked-out example. When available, MATLAB built-in functions are executed for confirmation of the results. A large set of exercises of varying levels of difficulty appears at the end of each chapter. The concise approach with strong, up-to-date MATLAB integration provided by this book affords readers a thorough knowledge of the fundamentals of numerical methods utilized in various disciplines.

《使用 MATLAB® 的工程師和科學家數值方法》旨在為科學和工程應用提供幫助，著重介紹數值方法的基礎知識，同時利用 MATLAB 軟體進行實踐。本書早期引入 MATLAB，並在各章節中結合其進行符號、圖形和數值任務。內容涵蓋了從曲線擬合到求解常微分方程和偏微分方程的各種方法。

本書特點如下：
- 提供完整的實例，展示所有細節
- 通過執行用戶定義函數或腳本文件來確認結果
- 在可用時，執行內置函數進行再確認
- 定期生成圖形，以闡明數值結果的合理性和重要性

《使用 MATLAB® 的工程師和科學家數值方法》設計為用戶友好且易於理解，提供背景材料和對 MATLAB 的基本介紹，特別是其在數值方法中的應用。在此基礎上，介紹了解方程的技巧，並著重介紹曲線擬合和插值技術。還討論了數值微分和積分方法，介紹了解初值問題和邊值問題的數值方法，並討論了矩陣特徵值問題，其中涉及用於近似矩陣的一個或所有特徵值的數值方法。然後，本書介紹了解工程和科學中經常出現的偏微分方程的數值解法。

本書為每種方法提供了用戶定義函數或 MATLAB 腳本文件，並附有至少一個完整的實例。在可用時，執行 MATLAB 內置函數以確認結果。每章末尾還提供了一系列難度不同的練習題。本書提供的簡潔方法以及與 MATLAB 的強大且最新的整合，使讀者能夠全面了解各個學科中使用的數值方法的基礎知識。