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Abstract:
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This thesis is an attempt to initiate the development of a discrete geometry of the discrete
plane H = {(qmxo,qnyo); m,n e Z - the set of integers}, where q s (0,1) is fixed and (xO,yO) is a fixed point in the first quadrant of the complex plane, xo,y0 ¢ 0. The discrete plane was first considered by Harman in 1972, to evolve a discrete analytic function theory for geometric difference functions. We shall mention briefly, through various sections, the principle
of discretization, an outline of discrete a alytic function theory, the concept of geometry of space and also summary of work done in this thesis |