  A matrix algebra is constructed which consists of the necessary degrees of
freedom for a finite approximation to the algebra of functions on the family of
orthogonal Grassmannians of real dimension 2N, known as complex quadrics. These
matrix algebras contain the relevant degrees of freedom for describing
truncations of harmonic expansions of functions on N-spheres. An Inonu-Wigner
contraction of the quadric gives the co-tangent bundle to the commutative
sphere in the continuum limit. It is shown how the degrees of freedom for the
sphere can be projected out of a finite dimensional functional integral, using
second-order Casimirs, giving a well-defined procedure for construction
functional integrals over fuzzy spheres of any dimension.
