Introductory Mathematical Analysis

Introductory Mathematical Analysis includes topics from differential and integral calculus that are of interest to students of business, economics, finance and the social sciences. It begins with noncalculus topics such as equations, inequalities, functions, and mathematics of finance. This book contains the theoretical development of the real number system, the continuity, the differentiability, the integration of functions, and the convergence of sequences and series of real numbers. It also includes the development of sequences and series of functions and an analysis of the properties a limit function may inherit from its approximants. It is designed for students who have an intuitive understanding of and basic competency in the standard procedures of the calculus. Some proofs are sufficiently described but are not overdone. Our guiding philosophy led us to build on this foundation in such a way that pupils achieve the elementary results and acquire fundamental skills in higher business and higher calculus. Partially fulfills Core Mathematics requirement.