ALGEBRAIC EXPRESSIONS, POLYNOMIALS, INTERPOLATION, EQUATIONS, AND SYSTEMS WITH MATHEMATICA

This book delves into symbolic algebra and its application using the scientific software MATHEMATICA. Topics covered include algebraic expressions and their fundamental components, including constants, variables, functions, recursive functions, conditional functions, anonymous or pure functions, predictive functions, compiled functions, and functional operations. Data structures involving algebraic expressions, such as lists, rules, and patterns, are then explored. Operations with algebraic expressions, polynomials, and interpolation methods are further developed. The solving of linear and nonlinear equations and systems of equations is also covered. Finally, matrix algebraic expressions, linear transformations, quadratic forms, and systems of linear equations are addressed using matrix algebra. Each chapter begins with methodological notes and is enriched with a wide variety of examples and exercises solved using MATHEMATICA.