Abstract

This chapter introduces finite sums, numerical series and infinite products, functional series, and formulas from differential calculus. Under finite sums, following topics are discussed: progressions, sums of powers of natural numbers, sums of reciprocals of natural numbers, sums of products of reciprocals of natural numbers, and sums of the binomial coefficients. In addition, several examples of numerical series and infinite products are also presented. Functional series is defined and theorems are given, followed by brief description on power series, Fourier series, and asymptotic series. Formulas for differential calculus include differentiation of a definite integral with respect to a parameter, the nthderivative of a product (Leibniz's rule), and the nth derivative of a composite function.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call