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Applied Mathematical Methods by Bhaskar Dasgupta

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17

Vector Analysis: Curves and Surfaces

Undergraduate curricula typically cover vector analysis (algebra and calculus) in good detail. However, a quick review of salient concepts and results at a graduate level is in place, in order to link up its fundamental themes with other areas of applied mathematics and create a mature viewpoint in the student’s mind. For this purpose, two chapters on vector calculus are included here. In the present chapter, basic vector analysis rules are summarized and the differential geometry of curves and surfaces is studied in brief. The topic of fields and integral theorems will be taken up in the next chapter.

Recapitulation of Basic Notions

The reader is expected to have a background in vector analysis. In particular, ...

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