Excerpt from Journal für die Reine und Angewandte Mathematik, 1875, Vol. 79
Man erkennt aus den nunmehr vorliegenden allgemeinen Ausdrücken dass für die Näherungsformel nur die eine Voraussetzung erforderlich war, es müsse t, u, t„ hinlänglich klein sein, da dann sn(t -_l ia), sn proportional t_-l_ ia, t, i; ia, selbst sind; dadurch geht (s.) in obige Näherungs formel tiber, die eine solche also auch fiir alle nicht regulären Rechtecke und flir Einströmungspunkte ist, die nicht in der Diagonale liegen.
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Paperback. Condition: New. Print on Demand. This book offers a comprehensive classification of arbitrary functions of real arguments based on their behavior within arbitrarily small intervals. The author, a distinguished mathematician, approaches the subject with a novel perspective, expanding on existing theories and introducing new concepts. By examining the changes in a function's values as the argument approaches a given point, the book establishes a hierarchy of function classes, each with increasingly restrictive conditions. The Dirichlet condition, for example, limits functions to a finite number of maxima within the interval under consideration. This systematic approach clarifies the fundamental properties of arbitrary functions and provides a deeper understanding of their behavior in mathematical analysis. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9780243551248_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780243551248
Quantity: 15 available