MATLAB 数学分析（真PDF）

English | PDF | 2014 | 356 Pages | ISBN : 148420350X | 16.45 MB

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.

MATLAB 数学分析是一本参考书，通过实例和用 MATLAB 软件解决的题目来展示数学分析的技术。其目的是让你熟悉 MATLAB 提供的数学分析功能，无论应用为何种情况，都可以在日常工作中运用。这本书假设读者已经接受过适当的数学训练，并且提供基本知识，以便能够使用 MATLAB 解决大量 MATLAB 函数的计算或符号解决方案。 书从介绍MATLAB环境中的数值、运算符、变量和函数开始。接着深入讨论复数变量的工作。一大部分专注于曲线、曲面和体的图形表示工作。MATLAB 功能允许进行二维和三维图形处理，统计图，解析式、隐含式、参数式和极坐标下的曲线和曲面。此外还有弯曲曲线、表面、网格、等值线和体积以及图形插值的工作。 接下来的部分涵盖了极限、函数、连续性以及数值与幂级数。随后解决变量一或多变量的导数问题，包括向量场的微分定理。之后处理积分的问题，包含无穷积分、定义积分和不定积分、多元变量的积分及其应用。 最后部分展示了常微分方程的具体例子，还包括拉普拉斯变换、泰勒级数、龙格-库塔方法以及偏微分方程的例子。

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