Computer-Supported Calculus
By: by Adi Ben-Israel, Robert Gilbert
Contributors: Gilbert, Robert
Series: Texts and Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes-Kepler-University, Linz, Austria, 0943-853X; Texts and Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes-Kepler-University, Linz, Austria
Publisher: Springer Vienna; Imprint; Springer
Published: 2002
Place of publication: Vienna
Language: eng
Format: [electronic resource] /
Number of pages: 609
ISBN-13: 9783709161463
Description: This is a new type of calculus book: Students who master this text will be well versed in calculus and, in addition, possess a useful working knowledge of how to use modern symbolic mathematics software systems for solving problems in calculus. This will equip them with the mathematical competence they need for science and engineering and the competitive workplace. MACSYMA is used as the software in which the example programs and calculations are given. However, by the experience gained in this book, the student will also be able to use any of the other major mathematical software systems, like for example AXIOM, MATHEMATICA, MAPLE, DERIVE or REDUCE, for "doing calculus on computers."
Table of contents: title: Functions, limits and continuity: Functions; Elementary functions used in calculus; Limits and continuity; title: Derivatives: Differentiation; Differentiation rules; Extremum problems; Mean value theorem; title: Integrals: Definite integrals; Fundamental theorem of calculus; Integration techniques; Applications of integrals; title: Series and approximations: Sequences and series; Series expansions and approximations; title: Appendixes: Introduction to MACSYMA; Numbers; Analytical geometry; Conic sections; title: Subject index.