Abstract
In this chapter we discuss the differential geometry of space curves (a curve embedded in Euclidean three-space e3). In particular, we introduce the Serret-Frenet basis vectors e t ,e n ,e b . This is followed by the derivation of an elegant set of relations describing the rate of change of the tangent e t , principal normal e n , and binormal e b vectors. Several examples of space curves are then discussed. We end the chapter with some applications to the mechanics of particles. Subsequent chapters will also discuss several examples.
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