Chapter 0 Preliminaries

0.1 Introduction

One of the most powerful methods in modern Mathematics is that of the Calculus. This branch of Mathematics focused on functions and its limits, continuity, derivatives, integrals and infinite series etc. It has widespread applications in modern science and technologies, economics and business sectors and presently in medical sciences also. In the last two centuries, calculus has been developed to such an extent that it is now used to deal with problems in every branch of technical sciences.

In this present chapter we will discuss certain fundamental concepts and properties of differential and integral calculus of functions of one independent variable and give a list of important formulae as ready-reckoner ...

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