Introductory Mathematical Analysis

Providing a foundation for the mathematical principles, techniques and applications most useful in business, economics and the life and social sciences, this book covers non-calculus topics such as equations, functions, mathematics of finance, probability, matrix algebra and linear programming. It also discusses single-variable and multivariable calculus, including continuous random variables. The sixth edition introduces topics such as logarithmic and exponential equations, the extreme value theorem and Newton's method of root approximation. Changes have been made to the chapter on limits and continuity to feature continuity's role on limits and to break down the section on differentiation. There is also work on the derivations of logarithmic and exponential functions, implicit differentiation, and higher-order derivatives initial-value problems in the chapter on integration.