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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..."
Introduction to Analysis of the Infinite Related Books
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 analy
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 analy
Based on well-known lectures given at Scuola Normale Superiore in Pisa, this book introduces analysis in a separable Hilbert space of infinite dimension. It sta
This text provides a detailed presentation of the main results for infinite products, as well as several applications. The target readership is a student famili
The infinite dimensional analysis as a branch of mathematical sciences was formed in the late 19th and early 20th centuries. Motivated by problems in mathematic