Chapter 1 Functions of Several Variables: Limits & Continuity
1.1 Introduction
Multivariate Calculus is the extension of calculus in one variable (i.e., calculus in real line ℝ which is also known as one dimensional Euclidean space ℝ1) to calculus with functions of several variables which is in the real Euclidean space of n dimensions ℝn. Therefore, to study multivariate calculus we shall be mainly concerned with the applications of calculus to functions of more than one variable and for this, the knowledge of functions of single independent variable is essential, which, at this stage, readers must have already obtained. This important branch of Mathematics deals with the limits, continuities, the differentiations and integrations of functions ...
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