MATLAB Differential and Integral Calculus

MATLAB is a high-level language and environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or traditional programming languages, such as C/C++ or Java.

MATLAB Differential and Integral Calculus introduces you to the MATLAB language with practical hands-on instructions and results, allowing you to quickly achieve your goals. In addition to giving a short introduction to the MATLAB environment and MATLAB programming, this book provides all the material needed to work with ease in differential and integral calculus in one and several variables. Among other core topics of calculus, you will use MATLAB to investigate convergence, find limits of sequences and series and, for the purpose of exploring continuity, limits of functions. Various kinds of local approximations of functions are introduced, including Taylor and Laurent series. Symbolic and numerical techniques of differentiation and integration are covered with numerous examples, including applications to finding maxima and minima, areas, arc lengths, surface areas and volumes. You will also see how MATLAB can be used to solve problems in vector calculus and how to solve differential and difference equations.

MATLAB 是一種高階語言和環境，用於數值計算、可視化和編程。使用 MATLAB，您可以分析數據、開發算法，並創建模型和應用程序。語言、工具和內置的數學函數使您能夠探索多種方法，並比使用電子表格或傳統編程語言（如 C/C++ 或 Java）更快地達到解決方案。

《MATLAB 微分和積分計算》介紹了 MATLAB 語言，並提供實用的實作指南和結果，讓您能夠快速實現目標。除了簡要介紹 MATLAB 環境和 MATLAB 編程外，本書還提供了在單變量和多變量微分和積分中輕鬆工作所需的所有材料。除了微積分的其他核心主題外，您將使用 MATLAB 來研究收斂性，找到數列和級數的極限，並為了探索連續性，找到函數的極限。介紹了各種局部函數逼近方法，包括泰勒和勞倫特級數。還涵蓋了符號和數值微分和積分技術，並提供了眾多示例，包括應用於尋找極大值和極小值、面積、弧長、表面積和體積。您還將看到如何使用 MATLAB 解決向量微積分問題以及如何解決微分和差分方程。