Scientific Calculus with MAPLE. Mathematical Analysis

The objective of this book is to present the work with MAPLE and especially their applications in the field of Mathematical Analysis and the Infinitesimal Calculus. The book begins by introducing the reader to the use of numbers, operators, variables and functions. The following part covers limits, functions, continuity and numerical and power series. Then differentiation is addressed in one and several variables including differential theorems for vector fields. Thereafter the topic of integration is handled including improper integrals, definite and indefinite integration, integration in multiple variables and multiple integrals and their applications. Differential equations are exemplified in detail