The contributions that are still being made to it testify to its vitality :all the evidence points to the continuance of its growth. A nd, indeed, this need cause no surprise. Few subjects can boast such varied processes, based upon methods so distinct from one another as are those originated by Cauchy, by Weierstrass, and by Riemann. Each of these methods is sufficient in itself to provide a complete development; combined, they exhibit an unusual wealth of ideas and furnish unsurpassed resources in attacking new problems. It is difficult to keep pace with the rapid growth of the literature which is due to the activity of mathematicians, especially of continental mathematicians: and there is, in consequence, sufficient reason for considering that some marshalling of the main results is at least desirable and is, perhaps, necessary. Not that there is any dearth of treatises in French and in German: but, for the most part, they either expound the processes based upon some single method or they deal with the discussion of some particular branch of the theory.
(Typographical errors above are due to OCR software and don't occur in the book.)

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