num_pages: 566
description: This is the first volume of an introductory calculus presentation intended forfuture scientists and engineers. Volume I contains five chapters emphasizing funda-mental concepts from calculus and analytic geometry and the application of theseconcepts to selected areas of science and engineering. Chapter one is a review offundamental background material needed for the development of differential andintegral calculus together with an introduction to limits. Chapter two introducesthe differential calculus and develops differentiation formulas and rules for findingthe derivatives associated with a variety of basic functions. Chapter three intro-duces the integral calculus and develops indefinite and definite integrals. Rulesfor integration and the construction of integral tables are developed throughoutthe chapter. Chapter four is an investigation of sequences and numerical sumsand how these quantities are related to the functions, derivatives and integrals ofthe previous chapters. Chapter five investigates many selected applications of thedifferential and integral calculus. The selected applications come mainly from theareas of economics, physics, biology, chemistry and engineering.
language: English
title: Introduction to Calculus Volume I