MATLAB Mathematical Analysis

MATLAB Mathematical Analysis is a reference book that presents the techniques of mathematical analysis through examples and exercises resolved with MATLAB software. Its purpose is to give readers examples of the mathematical analysis functions offered by MATLAB so that they can use them in their daily work regardless of the application. The book supposes proper training in the mathematics, and therefore, presents the basic knowledge required to be able to use MATLAB for calculational or symbolic solutions.

The book begins by introducing readers to the use of numbers, operators, variables, and functions in the MATLAB environment. It then 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 readers to work 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. It also addresses differentiation in one and several variables, including differentials theorems for vector fields. The book continues the discussion on mathematical analysis with the topic of integration, which includes improper integrals, definite and indefinite integration, integration in multiple variables and multiple integrals and their applications. Finally, the book closes on the subject of differential equations, covering Laplace transforms, the Taylor series, and the Runga-Kutta method for partial differential equations.