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The Theory of Functions of a Real Variable and the Theory of Fourier's Series, by E. W Hobson (Classic Reprint) - Softcover
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Excerpt from The Theory of Functions of a Real Variable and the Theory of Fourier's Series, by E. W Hobson
The foundations of the Integral Calculus, as based upon Riemann's definition of a definite integral, and its extensions, are discussed in Chapter V, where an account of the development of the subject from the point of View of Lebesgue's new definition of the definite Integral is also given. In later parts of the book I have introduced extensions of Lebesgue's definition, to the cases of improper integrals, taken over finite or infinite domains, regarded as the limits of sequences of Lebesgue integrals.
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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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- PublisherForgotten Books
- Publication date2018
- ISBN 10 1527766535
- ISBN 13 9781527766532
- BindingPaperback
- LanguageEnglish
- Number of pages788
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The Theory of Functions of a Real Variable and the Theory of Fourier's Series
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Paperback. Condition: 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. Seller Inventory # 9781527766532_0
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The Theory of Functions of a Real Variable and the Theory of Fourier's Series, by E. W Hobson (Classic Reprint)
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781527766532
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The Theory of Functions of a Real Variable and the Theory of Fourier's Series, by E W Hobson Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781527766532
Quantity: 15 available