SYMBOLIC CALCULUS WITH MATLAB. ALGEBRA, GEOMETRY AND MATHEMATICAL ANALYSIS

MATLAB is a scientific calculation platform commonly used by mathematicians, engineers and other professionals in the scientific area. MATLAB works in the numerical field, in the symbolic field and in the graphic field without difficulty.. 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. Besides, MATLAB perfectly handles symbolic mathematical computations, manipulating and performing operations on formulae and algebraic expressions with ease. You can 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 solutions of differential equations, manipulate powers, and investigate limits and many other features of algebraic series. MATLAB also develops symbolic matrix calculus. MATLAB can generate two- and three-dimensional graphs, as well as contour and density plots. You can graphically represent data lists, controlling colors, shading and other graphics features. Animated graphics are also supported. Graphics produced by MATLAB are portable to other programs. This book delves into symbolic and graphic work with MATLAB.