MATLAB Mathematical Analysis
Edition 版次：1st ed.
Release Finelybook 出版日期：2014-12-19
pages 页数：368 pages
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.
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Chapter 1:MATLAB Introduction and Working Environment
Chapter 2:Numbers,Operators,Variables and Functions
Chapter 3:Complex Numbers and Functions of Complex Variables
Chapter 4:Graphics in MATLAB. Curves,Surfaces and Volumes
Chapter 5:Limits of Sequences and Functions. Continuity in One and Several Variables
Chapter 6:Numerical Series and Power Series
Chapter 7:Derivatives. One and Several Variables
Chapter 8:Integration in One and Several Variables. Applications
Chapter 9:Differential Equations