ISBN: 9780259052401 - acta mathematica, 1884, vol. 5 (classic reprint) (3 Ergebnisse)

PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000.

PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000.

Paperback. Zustand: New. Print on Demand. This book is a detailed investigation into the concept of 'length' in terms of curves by examining the necessary and sufficient conditions for a curve to possess a specific finite length between two points on the curve. This is an essential component for calculating the length of a curve and is key to various applications, particularly in physics and geometry. The author presents a novel definition for 'length' and offers a range of theorems that lay out the specific conditions such as the continuity and differentiability of the given function as it relates to the length of the curve. Complicated functions that have a specific length despite having no discernible direction are examined, as are functions with an infinite number of discontinuities. The book concludes with several examples that demonstrate how a function's length can be calculated using the theorems presented earlier. 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.…