Vector Calculus - mecmath
In vector (or multivariable) calculus, we will deal with functions of two or three variables (usually x , y or x , y , z , respectively). The graph of a function of two variables, say, z = f ( x , y ),
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Vector Calculus
mecmath.net1 Vectors in Euclidean Space 1.1 Introduction In single-variable calculus, the functions that one encounters are functions of a variable (usually x or t) that varies over some subset of the real number line (which we denote by R). For such a function, say, y=f(x), the graph of the function f consists of the points (x,y)= (x,f(x)).These points lie in the Euclidean plane, which, in the …
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www.whitman.edu16 Vector Calculus 16.1 Vector Fields This chapter is concerned with applying calculus in the context of vector fields. A two-dimensional vector field is a function f that maps each point (x,y) in R2 to a two- dimensional vector hu,vi, and similarly a three-dimensional vector field maps (x,y,z) to