FUNCTIONS, LIMITS, CONTINUITY AND NUMERICAL SERIES WITH MATHEMATICA

Most topics in symbolic and numerical computation are covered using Mathematica. This book delves into subjects such as variables, functions, number theory, limits of sequences, limits of functions in one and several variables, continuity in one and several variables, numerical series, convergence criteria, power series, power series expansions, and applications of limits to differentiability in one and several variables. Furthermore, Mathematica supports matrix computation, statistics, least squares fitting, numerical and symbolic integration, function minimization, linear programming, numerical solution of algebraic and differential equations, and allows for further exploration of numerical analysis algorithms through programming. A wide variety of examples and exercises solved using Mathematica software are presented.