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Engineering Mathematics by C. Vijayakumari, P. Sivaramakrishna Das

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9

Vector Calculus

9.0 INTRODUCTION

In Science and Engineering we often deal with the analysis of forces and velocities and other quantities which are vectors. These vectors are not constants but vary with position and time. Hence, they are functions of one or more variables.

Vector Calculus extends the concepts of differential calculus and integral calculus of real functions in an interval to vector functions and thus enabling us to analyse problems over curves and surfaces in three dimension. Vector Calculus finds applications in a wide variety of fields such as fluid flow, heat flow, solid mechanics, electrostatics etc.

In Vector Calculus we deal mainly with two kinds of functions, scalar point functions and vector point functions and their ...

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