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This is disapointing, almost nothing is here, this is not even the dust of the tip of the iceberg. No theorems of inverse functions are here, nothing is mentioned about the matrix derivatives, its inverse, nonsingularity of the matrix, the one to one property related to the nonsingularity, boundness and openness of the inverse matrix and thus the inverse derivative of the function and the function itself, the continuity of both functions, inverse matrix of the derivative function and the derivative is no where to be found, and the list goes on. Truely disapointed.
I also highly urge that Euler's notation should be inroduced and the concepts be developed using it.--[[
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