Название: Mathematics with MATLAB. Graphics and Linear Algebra
Автор: Cesar Perez Lopez
Издательство: Lulu.com
Год: 2021
Страниц: 263
Язык: английский
Формат: pdf, epub
Размер: 10.15 MB

MATLAB is a platform for scientific computing that can work in almost all areas of the experimental sciences and engineering. Logically, this software allows you to work in the field of graphics and linera algebra, featuring some pretty extensive capabilities. The commands that implements MATLAB, about working with graphics and matrix algebra are quite high and very efficient. Matlab functions for working with two-dimensional and three-dimensional graphics, statistical graphs, curves and surfaces in explicit, implicit, parametric and polar coordinates. Additional work perfectly implements the twisted curves, surfaces , meshes , contours , contours, volumes and graphical interpolation. MATLAB allows you to work with ease in the field of Linear Algebra. Its matrix structure facilitates the treatment of matrix algebra, vector and matrix variables and functions, vector spaces, equations and systems, algebraic expressions, polynomials, linear applications, quadratic forms, diagonalization and other typical tasks of linear algebra.

MATLAB can be used as a high level programming language including data structures, variables, functions, vectors, matrix, arrays, instructions for flow control, management of inputs/outputs and even object-oriented programming. MATLAB programs are often written into files called M-files. AnM-file is nothing more than a MATLAB code (script) that executes a series of commands or functions that accept arguments and produce an output.

MATLAB is able to implement a number of algorithms which provide numerical solutions to certain problems which play a central role in the solution of non-linear equations. Such algorithms are easy to construct in MATLAB and are stored as M-files. Also MATLAB allows you to easily manipulate and operate on formulae and expressions symbolically. It is possible to expand, factor and simplify polynomials and rational and trigonometric expressions; find algebraic solutions of polynomial equations and systems of equations; evaluate derivatives and integrals symbolically; find symbolic solutions of differential equations; manipulate powers, limits and many other facets of algebraic series.

The MATLAB language, based on matrices, is the most natural way to express computational mathematics. The integrated graphics facilitate the visualization of the data and the obtaining of information from them. The desktop environment invites you to experience, explore and discover. All of these MATLAB tools and functions are rigorously tested and designed to work together.

Mathematical functions offer a wide variety of calculation methods to analyze data, develop algorithms and create models. The main functions use libraries optimized for processors that allow quick calculations of vectors and matrices. You can use MATLAB as a powerful numerical computer. While most calculators handle numbers only to a preset degree of precision, MATLAB performs exact calculations to any desired degree of precision. In addition, unlike calculators, we can perform operations not only with individual numbers, but also with objects such as arrays.

Most of the topics of classical numerical analysis are treated by this software. It supports matrix calculus, statistics, interpolation, least squares fitting, numerical integration, minimization of functions, linear programming, numerical and algebraic solutions of differential equations and a long list of further methods that we’ll meet as this book progresses.