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商品描述
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.
商品描述(中文翻譯)
設計旨在惠及科學和工程應用的《使用 MATLAB® 的工程師與科學家的數值方法》專注於數值方法的基本原理,同時利用 MATLAB 軟體。該書早期介紹 MATLAB,並在各章中貫穿使用,以執行符號、圖形和數值任務。文本涵蓋了從曲線擬合到解決常微分方程和偏微分方程的各種方法。
- 提供詳細的完整範例,顯示所有細節
- 通過執行用戶自定義函數或腳本文件來確認結果
- 在可用時執行內建函數以進行再次確認
- 定期生成圖形,以闡明數值結果的合理性和重要性
《使用 MATLAB® 的工程師與科學家的數值方法》旨在用戶友好且易於理解,提供背景材料和對 MATLAB 基本要素的廣泛介紹,特別是其在數值方法中的應用。在此基礎上,介紹了解方程的技術,並專注於曲線擬合和插值技術。它涉及數值微分和積分方法,呈現解決初值問題和邊值問題的數值方法,並討論矩陣特徵值問題,這涉及數值方法以近似矩陣的幾個或所有特徵值。該書然後處理偏微分方程的數值解,特別是那些在工程和科學中經常出現的方程。
該書為每種方法提供用戶自定義函數或 MATLAB 腳本文件,隨後至少有一個完整的範例。在可用時,執行 MATLAB 內建函數以確認結果。每章結尾都有一組不同難度的練習題。這本書以簡潔的方式和強大的、最新的 MATLAB 整合,讓讀者對各學科中使用的數值方法的基本原理有透徹的了解。