Introduction

MATLAB is a platform for scientific computing that can work in almost all areas of the experimental sciences, engineering, mathematics and financial solutions. Logically, this software allows you to work in the field of mathematical analysis through a wide variety of commands and functions. MATLAB Mathematical Analysis is a reference to these commands and brief discussions of how to solve a very wide array of problems.  It is not meant to be a tutorial on MATLAB, but a user of MATLAB should be able to follow the book easily and look up various types of problems or commands and see quick examples of how they work.  This book covers a wide array of content and so it is a great place to find new features, topics or commands that you might not have known existed.

The book begins by introducing the reader to the use of numbers of all types and bases, operators, variables and functions in the MATLAB environment. Then it delves into working with complex variables. A large section is devoted to working with developing graphical representations of curves, volumes, and surfaces. 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.

Vectors and matrices are a major feature of MATLAB and so they are treated throughout the book as the topics come up and include applications in many of the areas.

The following content block develops computation of limits and functions, continuity and numerical and power series. Then differentiability is addressed in one and several variables including differential theorems for vector fields. It continues to address integration in one or more variable, and multiple integrals and their applications. Finally differential equations are treated and some of their applications.

So this book offers a broad resource for looking up commands.  Unlike most references, it can be read from start to finish and jumping into chapters to look up is not an issue.  So one of the aspects of the book is its flexibility and the other main benefit is the breadth of coverage.