CHAPTER I.

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GENERAL VIEW OF MATHEMATICAL ANALYSIS 45

THE TRUE IDEA OF AN EQUATION 46 Division of Functions into Abstract and Concrete 47 Enumeration of Abstract Functions 50

DIVISIONS OF THE CALCULUS 53 _The Calculus of Values, or Arithmetic_ 57 Its Extent 57 Its true Nature 59 _The Calculus of Functions_ 61 Two Modes of obtaining Equations 61 1. By the Relations between the given Quantities 61 2. By the Relations between auxiliary Quantities 64 Corresponding Divisions of the Calculus of Functions 67