Complex Integration and Cauchy’s Theorem (Classic Reprint)

Excerpt from Complex Integration and Cauchy's Theorem

My endeavour has been to place the whole theory on a definitely arithmetical basis without appealing to geometrical intuitions. With that end in View, it seemed necessary to include an account of various propositions of Analysis Sirius, on which depends the proof of the theorem in its most general form. In proving these propositions, I have followed the general course of a memoir by Ames; my indebtedness to it and to the textbooks on Analysis by Goursat and by de la Vall e Poussin Will be obvious to those who are acquainted with those works.

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