Calculus Essentials

The study of continuous change in mathematics is known as calculus. Differential calculus and integral calculus constitute its principal branches. Differential calculus deals with instantaneous change rates and curve slopes. In contrast, integral calculus concentrates on the accumulation of quantities and areas beneath and between curves. The fundamental theorem of calculus serves as the link between these branches. They employ fundamental concepts such as the convergence of infinite sequences and series to a well-defined limit. Calculus finds applications across a spectrum of disciplines including engineering, statistics, business, demography, actuarial science, computer science, economics, and physical sciences. Additionally, it is utilized in various other fields where mathematical modeling of problems and optimal solutions are feasible. The topics included in this book on calculus are of utmost significance and bound to provide incredible insights to readers. It includes topics that deal with the basic to the most complex concepts and approaches of this area. It will serve as a valuable source of reference for graduate and postgraduate students.