The Theory of Functions of a Real Variable and the Theory of Fourier's Series, by E. W Hobson (Classic Reprint) - Tapa blanda

The Theory of Functions of a Real Variable and the Theory of Fourier's Series

Paperback. Condición: New. Print on Demand. This book explores the intricate world of functions and their properties, providing a comprehensive and rigorous account of a subject central to mathematical analysis. It delves into the foundations of arithmetic, outlining the theories of real numbers developed by Cantor and Dedekind. The author then navigates the theory of sets of points, offering insights into transfinite numbers and their implications for understanding the structure of the continuum. The book examines various classes of functions, including continuous and discontinuous functions, analyzing their properties and exploring the role of derivatives and integrals. The author delves into the historical development of Fourier series, recognizing its crucial role in shaping the modern theory of functions, highlighting the complexities and nuances of representing functions by trigonometric series. The book's depth of coverage and historical perspective makes it a valuable resource for mathematicians seeking a nuanced understanding of the fundamental building blocks of 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. Nº de ref. del artículo: 9781527766532_0

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