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商品描述
MATLAB Mathematical Analysis is a reference book that presents the techniques of mathematical analysis through examples and exercises resolved with MATLAB software. The purpose is to give you examples of the mathematical analysis functions offered by MATLAB so that you can use them in your daily work regardless of the application. The book supposes proper training in the mathematics and so presents the basic knowledge required to be able to use MATLAB for calculational or symbolic solutions to your problems for a vast amount of MATLAB functions.
The book begins by introducing the reader to the use of numbers, operators, variables and functions in the MATLAB environment. Then it delves into working with complex variables. A large section is devoted to working with and developing graphical representations of curves, surfaces and volumes. MATLAB functions allow working with two-dimensional and three-dimensional graphics, statistical graphs, curves and surfaces in explicit, implicit, parametric and polar coordinates. Additional work implements twisted curves, surfaces, meshes, contours, volumes and graphical interpolation.
The following part covers limits, functions, continuity and numerical and power series. Then differentiation is addressed in one and several variables including differential theorems for vector fields. Thereafter the topic of integration is handled including improper integrals, definite and indefinite integration, integration in multiple variables and multiple integrals and their applications.
Differential equations are exemplified in detail, Laplace transforms, Tayor series, and the Runga-Kutta method and partial differential equations.
商品描述(中文翻譯)
《MATLAB數學分析》是一本參考書，通過範例和使用MATLAB軟體解決的練習來介紹數學分析的技術。其目的是提供MATLAB所提供的數學分析函數的範例，以便您在日常工作中無論應用於何種情境都能使用這些函數。本書假設讀者具備適當的數學訓練，因此介紹了使用MATLAB進行計算或符號解決問題所需的基本知識，涵蓋了大量的MATLAB函數。
本書首先介紹讀者在MATLAB環境中使用數字、運算符、變數和函數。接著深入探討複變數的應用。書中有一大部分專門用於處理和開發曲線、表面和體積的圖形表示。MATLAB函數允許處理二維和三維圖形、統計圖表、曲線和表面，並以顯式、隱式、參數和極坐標的形式呈現。此外，還實現了扭曲曲線、表面、網格、輪廓、體積和圖形插值的相關工作。
接下來的部分涵蓋極限、函數、連續性以及數值和冪級數。然後討論一元和多元的微分，包括向量場的微分定理。隨後處理積分的主題，包括不定積分、定積分、多變數積分和多重積分及其應用。
微分方程的例子詳細說明了拉普拉斯變換、泰勒級數、龍格-庫塔法以及偏微分方程。
