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Introduction To Mathematical Analysis

Introduction ToMathematical AnalysisJohn E. Hutchinson1994 Revised byRichard J. Loy1995/6/7 Department of MathematicsSchool of Mathematical SciencesANUPure mathematics have one peculiar advantage, that they occa-sion no disputes among wrangling disputants, as in other branchesof knowledge; and the reason is, because the de nitions of theterms are premised, and everybody that reads a proposition hasthe same idea of every part of it. Hence it is easy to put an endto all Mathematical controversies by shewing, either that our ad-versary has not stuck to his de nitions, or has not laid down truepremises, or else that he has drawn false conclusions from trueprinciples; and in case we are able to do neither of these, we mustacknowledge the truth of what he has proved:::The mathematics, he [Isaac Barrow] observes, e ectua

Introduction To Mathematical Analysis John E. Hutchinson 1994 Revised by Richard J. Loy 1995/6/7 Department of Mathematics School of Mathematical Sciences

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