Einleitung in die Analysis des Unendlichen

From the preface of the author: ...I have divided this work into two books; in the first of these I have confined myself to those matters concerning pure analysis. In the second book I have explained those thing which must be known from geometry since analysis is ordinarily developed in such a way that its application to geometry is shown. In the first book since all of analysis is concerned with variable quantities and functions of such variables I have given full treatment to functions. I have also treated the transformation of functions and functions as the sum of infinite series. In addition I have developed functions in infinite series...