Coordinate Systems Supported - Maple Help

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Student[VectorCalculus] Coordinate Systems

Description

 • The Student[VectorCalculus] package supports the following coordinate systems:
 In two dimensions - cartesian and polar.
 In three dimensions - cartesian, cylindrical, and spherical.
 • The conversions from the various coordinate systems to Cartesian (rectangular) coordinates in 2-space

$\left(u,v\right)\to \left(x,y\right)$

 are given by:
 Cartesian:
 $x=u$
 $y=v$
 polar:
 $x=u\mathrm{cos}\left(v\right)$
 $y=u\mathrm{sin}\left(v\right)$
 • The conversions from the various coordinate systems to Cartesian coordinates in 3-space

$\left(u,v,w\right)\to \left(x,y,z\right)$

 are given as follows.
 Cartesian:
 $x=u$
 $y=v$
 $z=w$
 cylindrical:
 $x=u\mathrm{cos}\left(v\right)$
 $y=u\mathrm{sin}\left(v\right)$
 $z=w$
 spherical:
 $x=u\mathrm{cos}\left(w\right)\mathrm{sin}\left(v\right)$
 $y=u\mathrm{sin}\left(w\right)\mathrm{sin}\left(v\right)$
 $z=u\mathrm{cos}\left(v\right)$

References

 Moon, P., and Spencer, D.E. Field Theory Handbook. 2d ed. Berlin: Springer-Verlag, 1971.
 Spiegel, Murray R.  Mathematical Handbook of Formulas and Tables. New York:  McGraw Hill Book Company, 1968, pp. 126-130.